http://www.archive.org/stream/bookdignitiesco00haydgoog#page/n303/mode/2up

• James II of England Lord High Admiral 4 June 1660^[1] nominal commander at Battle of Lowestoft, June 1665; forbidden by the King from taking further part in the war^[2] 1672 again commanded the fleet in person, present at Battle of Southwold Bay in May; no further naval service. Removed from office as Lord High Admiral after Test Act 1673^[2][3]
• George Monck, 1st Duke of Albemarle performed administrative duties of Lord High Admiral during absence of Duke of York at sea, 1665^[4] joint admiral of the fleet with Prince Rupert, March 1666 and joined the fleet in April; commanded the red and blue squadrons when the fleet divided in May; present at Four Days' Battle in June^[4][5] and St James's Day Battle in July^[6] recalled to London 6 September 1666 to help fight the Great Fire, though his commission as joint-admiral of the fleet not revoked; failed to prevent Raid on the Medway in June 1667^[4][7]
• Prince Rupert of the Rhine admiral of a fleet sent to observe the Dutch, 1664, but appointment cancelled and Robert Holmes sent instead; admiral of the white 1665, present at Lowestoft and recalled with the Duke of York after the battle (succeeded by Sir William Penn); refused to share command of the fleet with Sandwich, July 1665; joint commander of the fleet with Albemarle, 1666; the white squadron detached under Rupert before rejoining Albemarle at end of Four Days' Battle^[8][9] joint commander at St James's Day Battle, then sole commander after Albemarle's recall in September 1666; no naval operations in 1667; vice-admiral of England after death of Sandwich at Solebay and commander of the fleet after departure of York, 1672^[8][10] commanded fleet in engagements with the Dutch in May and June 1673; led red squadron at battle of the Texel 11 August^[8][11][12] First Lord of the Admiralty (following removal of York) 9 July 1673 to 14 May 1679^[8]
• John Lawson (naval officer) vice-admiral under Sandwich in the Mediterranean, June 1661^[13][14] subsequently c-in-c in the Mediterranean, recalled autumn 1664 (succeeded by Sir Thomas Allen) to be vice-admiral of the red under York, died of wound received at Lowestoft 1665^[13][15]
• Edward Montagu, 1st Earl of Sandwich admiral and c-in-c of squadron sent to Mediterranean, June 1661^[16] accompanied Catherine of Braganza from Lisbon, 1662; admiral of squadron in the Channel, June 1664; admiral of the blue on enlargement of the fleet, November 1664; present at Lowestoft, June 1665; admiral commanding the fleet after departure of York and Rupert and for remainder of 1665 campaign^[16][17] admiral of the blue on the resumption of war, 1672; killed at Battle of Solebay, 28 May^[16][18]
• Richard Stayner rear-admiral of fleet under Sandwich sent for Catherine of Braganza, June 1661; died at Lisbon, October 1662^[19]
• Robert Holmes (Royal Navy officer) passed over for promotion to rear-admiral of the White after Lowestoft, 1665; rear-admiral of the red May 1666; served in Four Days' and St James's Day Battles^[20][21] continued rear-admiral until 1672?^[22] served as captain in Third Anglo-Dutch War, including at Solebay^[20]
• Sir Thomas Allin, 1st Baronet commodore and c-in-c in the Downs, 1663; vice-admiral to Sandwich, 11 July 1664; c-in-c Mediterranean, September 1664–April 1665; present at Lowestoft (as captain of Plymouth), 3 June; admiral of the blue, 2 July; admiral of the white, April 1666; present on Royal James in supernumerary capacity when the white squadron detached under Rupert, May; present at end of Four Days' Battle, June; in command as admiral of the white, St James's Day Battle, 25 July^[23][24] at sea variously 1667–8; c-in-c Mediterranean September 1668–September 1670; comptroller of the Navy 1671–80; unemployed during Third Anglo-Dutch War due to seniority; c-in-c of the fleet in the narrow seas during 1678 war scare^[23][25]
• William Penn (Royal Navy officer) captain of the fleet to Duke of York, with unique title of "captain great commander" and rank of vice-admiral, November 1665; present at Lowestoft^[26][27] admiral of the white on York's departure, and vice-admiral to Sandwich as admiral of the fleet, 2 July; briefly in command during Sandwich's absence, November–December; employed ashore in 1666^[26][28]
• Robert Sansome rear-admiral of the fleet sent out under Rupert, 1664; rear-admiral of the white, 1665; killed at Lowestoft^[29]
• Thomas Teddeman rear-admiral in Sandwich's Channel squadron, 1664^[30] rear-admiral of the blue, 1665, and present at Lowestoft; rear-admiral of the red when Sandwich replaced York as c-in-c of the fleet; temporary rear-admiral of the white when that squadron detached under Rupert, May 1666; present (as vice-admiral of the blue?) at Four Days' Battle, June; vice-admiral of the white, 12 June, and present at St James's Day Battle; commanded Dover squadron, 1667^[31][32]
• George Ayscue rear-admiral of the blue, 1664; vice-admiral of the blue at Lowestoft, 1665; vice-admiral of the red on Sandwich's appointment to command the fleet; admiral of the blue, 1666 (admiral of the white when that squadron detached under Rupert?) and captured at Four Days' Battle, June; was to have been vice-admiral of the red when Third Anglo-Dutch war broke out but died April 1672^[33][34]
• William Berkeley (Royal Navy officer)^[35][36]
• Joseph Jordan^[37][38]
• Christopher Myngs^[39][40]
• John Harman (Royal Navy officer)^[41][42]
• Jeremiah Smith (Royal Navy officer)^[43][44]
• Edward Spragge^[45][46]
• William Jennens (Royal Navy officer)^[47][48]
• Richard Utber^[49]
• John Kempthorne (Royal Navy officer)^[50][51]
• Thomas Butler, 6th Earl of Ossory^[52][53]
• Frescheville Holles^[54][55]
• John Chicheley^[56][57]
• John Holmes (Royal Navy officer) rear-admiral of the Blue, 14 August–October 1673^[58] again rear-admiral of the Blue, and c-in-c in the Downs, 14 April 1677^[59] to May 1678; rear-admiral of fleet sent out during French war scare, 1678; c-in-c in the Downs again 1678–9^[58]