Finite Group Databasebeta

← Group #484792

Character table — Group #484792

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112244444488888888881616161616161616161111224444448888888888161616161616161616
order12222244444422444444442448888882222224444442244444444244888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-11-1-1-1-1-1-1-11111111111111111111111-11-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-111-11-1-1-11111111111111111-1-1-1-1-1-1-1-111-11-1-1-11111
χ51111111-1-1-1-1111-1-111-1-1111-11-1-111-1-11111111-1-1-1-1111-1-111-1-1111-11-1-111-1-1
χ61111111-1-1-1-1111-1-111-1-111-1-1-111-1-1111111111-1-1-1-1111-1-111-1-111-1-1-111-1-111
χ71111111-1-1-1-11-1-111-1-111111-11-1-1-1-1111111111-1-1-1-11-1-111-1-111111-11-1-1-1-111
χ81111111-1-1-1-11-1-111-1-11111-1-1-11111-1-11111111-1-1-1-11-1-111-1-11111-1-1-11111-1-1
χ922222222222200000000-2-20-2000000022222222222200000000-2-20-20000000
χ102222222-2-2-2-2200000000-2-20200000002222222-2-2-2-2200000000-2-2020000000
χ11222222-20000-2002200-2-22-2000000000222222-20000-2002200-2-22-2000000000
χ12222222-20000-200-2-200222-2000000000222222-20000-200-2-200222-2000000000
χ13222222-20000-22200-2-200-22000000000222222-20000-22200-2-200-22000000000
χ14222222-20000-2-2-2002200-22000000000222222-20000-2-2-2002200-22000000000
χ152-2-222-222i2i−2i−2i-20000000000000002−2i2−i22-2-222-222i2i−2i−2i-20000000000000002−2i2−i2
χ162-2-222-222i2i−2i−2i-2000000000000000−22−i2i22-2-222-222i2i−2i−2i-2000000000000000−22−i2i2
χ172-2-222-22−2i−2i2i2i-20000000000000002−2−i2i22-2-222-22−2i−2i2i2i-20000000000000002−2−i2i2
χ182-2-222-22−2i−2i2i2i-2000000000000000−22i2−i22-2-222-22−2i−2i2i2i-2000000000000000−22i2−i2
χ194444-4-4000000000000000020-20000004444-4-4000000000000000020-2000000
χ204444-4-40000000000000000-2020000004444-4-40000000000000000-202000000
χ2144-4-40002-22-2000002i−2i2i−2i0000000000044-4-40002-22-2000002i−2i2i−2i00000000000
χ2244-4-40002-22-200000−2i2i−2i2i0000000000044-4-40002-22-200000−2i2i−2i2i00000000000
χ2344-4-4000-22-22000002i−2i−2i2i0000000000044-4-4000-22-22000002i−2i−2i2i00000000000
χ2444-4-4000-22-2200000−2i2i2i−2i0000000000044-4-4000-22-2200000−2i2i2i−2i00000000000
χ254-44-40002i−2i−2i2i02-22i−2i0000000000000004-44-40002i−2i−2i2i02-22i−2i000000000000000
χ264-44-40002i−2i−2i2i0-22−2i2i0000000000000004-44-40002i−2i−2i2i0-22−2i2i000000000000000
χ274-44-4000−2i2i2i−2i02-2−2i2i0000000000000004-44-4000−2i2i2i−2i02-2−2i2i000000000000000
χ284-44-4000−2i2i2i−2i0-222i−2i0000000000000004-44-4000−2i2i2i−2i0-222i−2i000000000000000
χ294-4-444-4-40000400000000000000000004-4-444-4-4000040000000000000000000
χ304-4-44-4400000000000000000002-200004-4-44-4400000000000000000002-20000
χ314-4-44-440000000000000000000-2200004-4-44-440000000000000000000-220000
χ321111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ331111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111
χ34111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111
χ35111111111111-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1111-1-1-1-1
χ361111111-1-1-1-1111-1-111-1-1111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-11-111-1-111
χ371111111-1-1-1-1111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-11111-1-1-111-1-111-1-1111-1-111-1-1
χ381111111-1-1-1-11-1-111-1-111111-11-1-1-1-111-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-11-11111-1-1
χ391111111-1-1-1-11-1-111-1-11111-1-1-11111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1111-1-1-1-111
χ4022222222222200000000-2-20-20000000-2-2-2-2-2-2-2-2-2-2-2-20000000022020000000
χ412222222-2-2-2-2200000000-2-2020000000-2-2-2-2-2-2-22222-200000000220-20000000
χ42222222-20000-2002200-2-22-2000000000-2-2-2-2-2-220000200-2-20022-22000000000
χ43222222-20000-200-2-200222-2000000000-2-2-2-2-2-2200002002200-2-2-22000000000
χ44222222-20000-22200-2-200-22000000000-2-2-2-2-2-2200002-2-20022002-2000000000
χ45222222-20000-2-2-2002200-22000000000-2-2-2-2-2-22000022200-2-2002-2000000000
χ462-2-222-222i2i−2i−2i-20000000000000002−2i2−i2-222-2-22-2−2i−2i2i2i2000000000000000−22−i2i2
χ472-2-222-222i2i−2i−2i-2000000000000000−22−i2i2-222-2-22-2−2i−2i2i2i20000000000000002−2i2−i2
χ482-2-222-22−2i−2i2i2i-20000000000000002−2−i2i2-222-2-22-22i2i−2i−2i2000000000000000−22i2−i2
χ492-2-222-22−2i−2i2i2i-2000000000000000−22i2−i2-222-2-22-22i2i−2i−2i20000000000000002−2−i2i2
χ504444-4-4000000000000000020-2000000-4-4-4-4440000000000000000-202000000
χ514444-4-40000000000000000-202000000-4-4-4-444000000000000000020-2000000
χ5244-4-40002-22-2000002i−2i2i−2i00000000000-4-444000-22-2200000−2i2i−2i2i00000000000
χ5344-4-40002-22-200000−2i2i−2i2i00000000000-4-444000-22-22000002i−2i2i−2i00000000000
χ5444-4-4000-22-22000002i−2i−2i2i00000000000-4-4440002-22-200000−2i2i2i−2i00000000000
χ5544-4-4000-22-2200000−2i2i2i−2i00000000000-4-4440002-22-2000002i−2i−2i2i00000000000
χ564-44-40002i−2i−2i2i02-22i−2i000000000000000-44-44000−2i2i2i−2i0-22−2i2i000000000000000
χ574-44-40002i−2i−2i2i0-22−2i2i000000000000000-44-44000−2i2i2i−2i02-22i−2i000000000000000
χ584-44-4000−2i2i2i−2i02-2−2i2i000000000000000-44-440002i−2i−2i2i0-222i−2i000000000000000
χ594-44-4000−2i2i2i−2i0-222i−2i000000000000000-44-440002i−2i−2i2i02-2−2i2i000000000000000
χ604-4-444-4-4000040000000000000000000-444-4-4440000-40000000000000000000
χ614-4-44-4400000000000000000002-20000-444-44-40000000000000000000-220000
χ624-4-44-440000000000000000000-220000-444-44-400000000000000000002-20000

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