Finite Group Databasebeta

← Group #177838

Character table — Group #177838

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222444444444444444444444444442244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-11-1-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-1-1111-1-1-1-11111-1-1-1-111
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-1-11-1-11111-1-1-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-111111-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1111-1-11111-1-111-1-1-1-111
χ151111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1111-1-111-1-111-1-1-1-111-1-111
χ161111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1111-1-1-1-111-1-11111-1-111-1-1
χ17222222222-222-2-222-2-2-2-22-2000022-2-200000020-200000000000000000
χ18222222222-222-2-222-2-2-2-22-20000-2-222000000-20200000000000000000
χ19222222222-2-2-222-2-222-2-22-200002222000000-20-200000000000000000
χ20222222222-2-2-222-2-222-2-22-20000-2-2-2-200000020200000000000000000
χ2122222222-2222-2-2-2-222-2-2-22222200000000-200-2000000000000000000
χ2222222222-2222-2-2-2-222-2-2-22-2-2-2-2000000002002000000000000000000
χ2322222222-22-2-22222-2-2-2-2-2222-2-200000000-2002000000000000000000
χ2422222222-22-2-22222-2-2-2-2-22-2-22200000000200-2000000000000000000
χ2522222222-2-22222-2-2-2-222-2-20000000022220-2000-20000000000000000
χ2622222222-2-22222-2-2-2-222-2-200000000-2-2-2-20200020000000000000000
χ2722222222-2-2-2-2-2-2222222-2-20000000022-2-20-200020000000000000000
χ2822222222-2-2-2-2-2-2222222-2-200000000-2-22202000-20000000000000000
χ29444-4-44-4-40400000000000-4004-4000000000000000000000000000000
χ30444-4-44-4-40400000000000-400-44000000000000000000000000000000
χ31444-4-44-4-40-40000000000044i−4i00000000000000000000000000000000
χ32444-4-44-4-40-4000000000004−4i4i00000000000000000000000000000000
χ3344-44-4-44-40000004i−4i0000000000000000000000002-22i−2i000000000000
χ3444-44-4-44-40000004i−4i000000000000000000000000-22−2i2i000000000000
χ3544-44-4-44-4000000−4i4i0000000000000000000000002-2−2i2i000000000000
χ3644-44-4-44-4000000−4i4i000000000000000000000000-222i−2i000000000000
χ3744-4-44-4-4400004i−4i00000000000000000000000000000000002i−2i2-20000
χ3844-4-44-4-4400004i−4i0000000000000000000000000000000000−2i2i-220000
χ3944-4-44-4-440000−4i4i00000000000000000000000000000000002i−2i-220000
χ4044-4-44-4-440000−4i4i0000000000000000000000000000000000−2i2i2-20000
χ414-444-4-4-44004i−4i00000000000000000000000000000000000000002i−2i2-2
χ424-444-4-4-44004i−4i0000000000000000000000000000000000000000−2i2i-22
χ434-444-4-4-4400−4i4i00000000000000000000000000000000000000002i−2i-22
χ444-444-4-4-4400−4i4i0000000000000000000000000000000000000000−2i2i2-2
χ454-44-44-44-400000000004-40000000000004i−4i0000000000000000000000
χ464-44-44-44-400000000004-4000000000000−4i4i0000000000000000000000
χ474-44-44-44-40000000000-4400000000004i−4i000000000000000000000000
χ484-44-44-44-40000000000-440000000000−4i4i000000000000000000000000
χ494-4-4444-4-4400000000000-4000004-40000000000000000000000000000
χ504-4-4444-4-4400000000000-400000-440000000000000000000000000000
χ514-4-4444-4-4-400000000000400000004i−4i00000000000000000000000000
χ524-4-4444-4-4-40000000000040000000−4i4i00000000000000000000000000
χ534-4-4-4-4444000000004-4000000000000000000000000002-22-200000000
χ544-4-4-4-4444000000004-400000000000000000000000000-22-2200000000
χ554-4-4-4-444400000000-44000000000000000000000000002-2-2200000000
χ564-4-4-4-444400000000-4400000000000000000000000000-222-200000000

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