Finite Group Databasebeta

← Group #175308

Character table — Group #175308

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444244444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-1-1-11-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-111-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-11-1-11111-11111-1-1-1-1-1111-1-1-1111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11-1-11111-11111-1-1-1-1-1111-1-1-11-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-11-1-11111-111-1-1-1-1111-11-111-1-111-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-11-1-11111-111-1-1-1-1111-11-111-1-1-1-11111-1-1-1-11111-1-1
χ13111111111-1-1-1-11-1-11111-1-1-11111-1-1-1-1-11111-111-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-11-1-11111-1-1-11111-1-1-1-1-11111-1-1-111-1-11111-1-111-1-1
χ15111111111-1-1-1-11-1-11111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-11-1-11111-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-222-2-22-2-22200220000-2000-200000000000000000
χ1822222222222-2-2-222-2-22-2-2-2-200-2-200002000200000000000000000
χ19222222222-2-222-2-2-2-2-22-222200-2-20000-2000200000000000000000
χ20222222222-2-222-2-2-2-2-22-22-2-2002200002000-200000000000000000
χ2122222222-222222-2-2-2-2-22-20000000002002-20-20000000000000000
χ2222222222-222222-2-2-2-2-22-2000000000-200-22020000000000000000
χ2322222222-222-2-2-2-2-222-2-2200220022-200-200000000000000000000
χ2422222222-222-2-2-2-2-222-2-2200-2-200-2-2200200000000000000000000
χ2522222222-2-2-222-22222-2-2-2002200-2-2200-200000000000000000000
χ2622222222-2-2-222-22222-2-2-200-2-20022-200200000000000000000000
χ2722222222-2-2-2-2-2222-2-2-222000000000200-220-20000000000000000
χ2822222222-2-2-2-2-2222-2-2-222000000000-2002-2020000000000000000
χ29444-4-4-4-440004i−4i00000000000000000000000000002-22i−2i00000000
χ30444-4-4-4-440004i−4i0000000000000000000000000000-22−2i2i00000000
χ31444-4-4-4-44000−4i4i00000000000000000000000000002-2−2i2i00000000
χ32444-4-4-4-44000−4i4i0000000000000000000000000000-222i−2i00000000
χ3344-4-4-444-404i−4i000000000000000000000000000000000000002-22i−2i
χ3444-4-4-444-404i−4i00000000000000000000000000000000000000-22−2i2i
χ3544-4-4-444-40−4i4i000000000000000000000000000000000000002-2−2i2i
χ3644-4-4-444-40−4i4i00000000000000000000000000000000000000-222i−2i
χ374-444-44-4-40000004-40000000000000000000002i−2i2i−2i000000000000
χ384-444-44-4-40000004-4000000000000000000000−2i2i−2i2i000000000000
χ394-444-44-4-4000000-440000000000000000000002i−2i−2i2i000000000000
χ404-444-44-4-4000000-44000000000000000000000−2i2i2i−2i000000000000
χ414-44-44-44-4000000004-40000000004i−4i000000000000000000000000
χ424-44-44-44-4000000004-4000000000−4i4i000000000000000000000000
χ434-44-44-44-400000000-44000004i−4i0000000000000000000000000000
χ444-44-44-44-400000000-4400000−4i4i0000000000000000000000000000
χ454-4-44-4-4444000000000-4004i−4i000000000000000000000000000000
χ464-4-44-4-4444000000000-400−4i4i000000000000000000000000000000
χ474-4-44-4-444-400000000040000004-400000000000000000000000000
χ484-4-44-4-444-40000000004000000-4400000000000000000000000000
χ494-4-4-444-4400000400000-40000000000000000000000000002i2−2i20000
χ504-4-4-444-4400000400000-4000000000000000000000000000−2i22i20000
χ514-4-4-444-4400000-4000004000000000000000000000000022−22000000
χ524-4-4-444-4400000-40000040000000000000000000000000−2222000000
χ5388-888-8-8-8000000000000000000000000000000000000000000000

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