They satisfy GCH, the diamond principle for all stationary subsets of regular cardinals, the square principle (except at subcompact cardinals), and other principles holding in L.
Sir Jonathan Wathen Waller, 1st Baronet, GCH (6 October 1769 - 1 January 1853), was an English eye surgeon, who practiced in London during the latter part of Georgian era.
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GCH Foxcliffe Hickory Wind was named after a song written by Gram Parsons and Bob Buchanan.
Sir Frederick Augustus Wetherall, GCH (1754–1842) was a British General, of Castle Bear House, Ealing.
Admiral James McEdward O'Brien, 3rd Marquess of Thomond, GCH (1769–1855), styled Lord James O'Brien from 1809 to 1846, was a British naval officer.
John Bourke, 4th Earl of Mayo, GCH, PC (Ire) (18 June 1766 – 23 May 1849) was an Irish peer and courtier, styled Lord Naas from 1792 until 1794.
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On 11 May 1819, he represented the Duke of Clarence and St Andrews (later William IV) at the baptism of Prince George of Cambridge in Hanover and was appointed a GCH that year.
General John Fane, 11th Earl of Westmorland GCB, GCH, PC (2 February 1784 – 16 October 1859), styled Lord Burghersh until 1841, was a British soldier, politician, diplomat and musician.
John FitzGibbon, 2nd Earl of Clare KP GCH PC (10 July 1792 – 18 August 1851) was the son of John FitzGibbon, 1st Earl of Clare and his wife, Anne.
Sir Edward Kerrison, 1st Baronet, GCH, KCB (1776–1853), British Army officer and politician
Admiral Sir Charles Rowley, GCH, GCB, 1st Baronet (1770-1845), youngest son of the 1st Baronet Rowley of Tendring Hall.
Field Marshal Stapleton Cotton, 1st Viscount Combermere GCB, GCH, KSI, PC (14 November 1773 – 21 February 1865), was a British military leader, diplomat and politician.
General Sir (Tomkyns) Hilgrove Turner GCH (1764–1843) is best known as the officer who escorted the Rosetta Stone from Egypt to England.
William George Hay, 18th Earl of Erroll KT, GCH, PC (21 February 1801 – 19 April 1846), styled Lord Hay between 1815 and 1819, was a Scottish peer and politician.
William Wellesley-Pole, 3rd Earl of Mornington GCH, PC, PC (Ire) (20 May 1763 – 22 February 1845), known as Lord Maryborough between 1821 and 1842, was an Anglo-Irish politician and an elder brother of the Duke of Wellington.