Finite Group Databasebeta

← Group #485643

Character table — Group #485643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222444448888888888161616161616161616161616161616161632323232
order12222222244442244444444222224444444488888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-111-1-1-1-111-11-1111-1111-11-1-1-1-1-111-1-1
χ61111111111111-1-111-1-1-1-111-11-1-1-11-1-1-11-11-11111-1-111
χ71111111111111-1-111-1-1-1-111-1-1111-1111-11-11-1-1-1-1-1-111
χ81111111111111-1-111-1-1-1-111-1-11-1-1-11-1-1-11-11111111-1-1
χ91111-1-111-11-1-1111-1-111-1-111-1111-1-1-11-111-1-111-1-11-11-1
χ101111-1-111-11-1-1111-1-111-1-111-111-11-1-1-1111-1-1-1-111-11-11
χ111111-1-111-11-1-1111-1-111-1-111-1-1-11-1111-1-1-11111-1-1-11-11
χ121111-1-111-11-1-1111-1-111-1-111-1-1-1-1111-11-1-111-1-1111-11-1
χ131111-1-111-11-1-11-1-1-1-1-1-1111111-11-1-111-11-1-11-1-1111-1-11
χ141111-1-111-11-1-11-1-1-1-1-1-1111111-1-11-11-111-1-1111-1-1-111-1
χ151111-1-111-11-1-11-1-1-1-1-1-111111-111-11-11-1-111-1-1-111-111-1
χ161111-1-111-11-1-11-1-1-1-1-1-111111-11-111-1-11-111-111-1-11-1-11
χ17222222222222222-2-2-2-2-2-2-2-2200000000000000000000
χ182222222222222-2-2-2-22222-2-2-200000000000000000000
χ19222222222-2-2-2-2002-200002-20020002000-20-200000000
χ20222222222-2-2-2-2002-200002-200-2000-200020200000000
χ21222222222-2-2-2-200-220000-22020002000-20-2000000000
χ22222222222-2-2-2-200-220000-220-2000-2000202000000000
χ232222-2-222-22-2-222222-2-222-2-2-200000000000000000000
χ242222-2-222-22-2-22-2-22222-2-2-2-2200000000000000000000
χ252222-2-222-2-222-2002-20000-2202000-2000-202000000000
χ262222-2-222-2-222-2002-20000-220-2000200020-2000000000
χ272222-2-222-2-222-200-2200002-2002000-2000-20200000000
χ282222-2-222-2-222-200-2200002-200-2000200020-200000000
χ29444444-4-4-4000000000000000002200-2-2000000000000
χ30444444-4-4-400000000000000000-2-20022000000000000
χ314444-4-4-4-44000000000000000002-200-22000000000000
χ324444-4-4-4-4400000000000000000-22002-2000000000000
χ334-4-44004-40400-40000004i−4i00000000000000000000000
χ344-4-44004-40400-4000000−4i4i00000000000000000000000
χ354-4-44004-40-40044-400000000000000000000000000000
χ364-4-44004-40-4004-4400000000000000000000000000000
χ374-4-4400-44004-40000000000000000000000002-22-20000
χ384-4-4400-44004-4000000000000000000000000-22-220000
χ394-4-4400-4400-440000000000000000000000002-2-220000
χ404-4-4400-4400-44000000000000000000000000-222-20000
χ4188-8-800000000000004-40000000000000000000000000
χ4288-8-80000000000000-440000000000000000000000000
χ438-88-88-800000000000000000000000000000000000000
χ448-88-8-8800000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).