Finite Group Databasebeta

← Group #175191

Character table — Group #175191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444222244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ5111111111111111111111-1-111-1-1111-111-1-1-1-11-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-1111-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1111-111-1-1111-1-1-1-11111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1-11111-1-1-1-11111
χ9111111111-1-1-1-1-1-111111-11111-1-1-1-1-111111-1-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-111111-11111-1-1-1-1-11-1-111-1-11-111-1-111-1-111-1-111
χ11111111111-1-1-1-1-1-111111-111-1-1-1-1111-1111-11-1-11-1-1-1-111-1-11111-1-1
χ12111111111-1-1-1-1-1-111111-111-1-1-1-1111-1-1-11-11-1-111111-1-111-1-1-1-111
χ13111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ15111111111-1-1-1-1-1-111111-1-1-1-1-111111111-11-11-1-1-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-11-11-1-11111-1-1-1-11111-1-1
χ1722222222222-2-222-2-2-2-22-22200-2-2000000-20020000000000000000
χ1822222222222-2-222-2-2-2-22-2-2-20022000000200-20000000000000000
χ19222222222-2-222-2-2-2-2-2-222220022000000-200-20000000000000000
χ20222222222-2-222-2-2-2-2-2-222-2-200-2-200000020020000000000000000
χ2122222222-22222-2-222-2-2-2-200220022-20000000-2000000000000000
χ2222222222-22222-2-222-2-2-2-200-2-200-2-2200000002000000000000000
χ2322222222-222-2-2-2-2-2-222-220000000002000-2-200200000000000000
χ2422222222-222-2-2-2-2-2-222-22000000000-20002200-200000000000000
χ2522222222-2-2-22222-2-222-2-20000000002000-2200-200000000000000
χ2622222222-2-2-22222-2-222-2-2000000000-20002-200200000000000000
χ2722222222-2-2-2-2-22222-2-2-22002200-2-220000000-2000000000000000
χ2822222222-2-2-2-2-22222-2-2-2200-2-20022-200000002000000000000000
χ29444-4-44-4-4000004i−4i00000000000000000000000000000000002-22i−2i
χ30444-4-44-4-4000004i−4i0000000000000000000000000000000000-22−2i2i
χ31444-4-44-4-400000−4i4i00000000000000000000000000000000002-2−2i2i
χ32444-4-44-4-400000−4i4i0000000000000000000000000000000000-222i−2i
χ3344-44-4-44-404i−4i000000000000000000002-20000002i−2i000000000000
χ3444-44-4-44-404i−4i00000000000000000000-22000000−2i2i000000000000
χ3544-44-4-44-40−4i4i000000000000000000002-2000000−2i2i000000000000
χ3644-44-4-44-40−4i4i00000000000000000000-220000002i−2i000000000000
χ3744-4-44-4-4440000000000-404i−4i000000000000000000000000000000
χ3844-4-44-4-4440000000000-40−4i4i000000000000000000000000000000
χ3944-4-44-4-44-400000000004000004-400000000000000000000000000
χ4044-4-44-4-44-40000000000400000-4400000000000000000000000000
χ414-44-44-44-40004i−4i000000000000000000000000000000002-22i−2i0000
χ424-44-44-44-40004i−4i00000000000000000000000000000000-22−2i2i0000
χ434-44-44-44-4000−4i4i000000000000000000000000000000002-2−2i2i0000
χ444-44-44-44-4000−4i4i00000000000000000000000000000000-222i−2i0000
χ454-4-4444-4-400000004-400000000004i−4i000000000000000000000000
χ464-4-4444-4-400000004-40000000000−4i4i000000000000000000000000
χ474-4-4444-4-40000000-440000004i−4i0000000000000000000000000000
χ484-4-4444-4-40000000-44000000−4i4i0000000000000000000000000000
χ494-4-4-4-44440000000004-400000000000000000000000022−2200000000
χ504-4-4-4-44440000000004-4000000000000000000000000−222200000000
χ514-4-4-4-4444000000000-44000000000000000000000022−220000000000
χ524-4-4-4-4444000000000-440000000000000000000000−22220000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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