Finite Group Databasebeta

← Group #175209

Character table — Group #175209

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-1-1-111111-11111-1-1-1-1111-1-111-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-111111-11111-1-1-1-1111-1-1-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-1-1-1-1-111111-111-1-111-1-11-1-11111-1-11-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-1-1-111111-111-1-111-1-11-1-111-1-1-1-1111-1-11111-1-111-1-1
χ13111111111-1-1-1-1-1-111111-1-1-111-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-111111-1-1-111-1-111-1-1-111-1-111-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-111111-1-1-1-1-11111-111-1-1111-11-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-111111-1-1-1-1-11111-111-1-1-1-11-111111-1-111-1-1-1-111
χ1722222222222-2-222-2-2-2-22-20000000002-22-20000000000000000000
χ1822222222222-2-222-2-2-2-22-2000000000-22-220000000000000000000
χ19222222222-2-222-2-2-2-2-2-2220000000002-2-220000000000000000000
χ20222222222-2-222-2-2-2-2-2-222000000000-222-20000000000000000000
χ2122222222-22222-2-2-2-222-2-20022-2-20000000000-2200000000000000
χ2222222222-22222-2-2-2-222-2-200-2-22200000000002-200000000000000
χ2322222222-222-2-2-2-222-2-2-22220000-2-2-200000020000000000000000
χ2422222222-222-2-2-2-222-2-2-22-2-20000222000000-20000000000000000
χ2522222222-2-2-2222222-2-2-2-222000022-2000000-20000000000000000
χ2622222222-2-2-2222222-2-2-2-2-2-20000-2-2200000020000000000000000
χ2722222222-2-2-2-2-222-2-222-220022220000000000-2-200000000000000
χ2822222222-2-2-2-2-222-2-222-2200-2-2-2-200000000002200000000000000
χ294444-4-4-4-440000000000-400000000000000000000022−220000000000
χ304444-4-4-4-440000000000-4000000000000000000000−22220000000000
χ314444-4-4-4-4-400000000004000000000000000000000002i2−2i200000000
χ324444-4-4-4-4-40000000000400000000000000000000000−2i22i200000000
χ3344-4-4-4-4440000000004-40000004i−4i00000000000000000000000000
χ3444-4-4-4-4440000000004-4000000−4i4i00000000000000000000000000
χ3544-4-4-4-444000000000-4400004i−4i0000000000000000000000000000
χ3644-4-4-4-444000000000-440000−4i4i0000000000000000000000000000
χ374-44-44-44-4000004-400000000000000000000000000000000002i−2i2i−2i
χ384-44-44-44-4000004-40000000000000000000000000000000000−2i2i−2i2i
χ394-44-44-44-400000-4400000000000000000000000000000000002i−2i−2i2i
χ404-44-44-44-400000-440000000000000000000000000000000000−2i2i2i−2i
χ414-44-4-44-440004i−4i0000000000000000000002-20002i−2i000000000000
χ424-44-4-44-440004i−4i000000000000000000000-22000−2i2i000000000000
χ434-44-4-44-44000−4i4i0000000000000000000002-2000−2i2i000000000000
χ444-44-4-44-44000−4i4i000000000000000000000-220002i−2i000000000000
χ454-4-444-4-4404-400000000000000000000000000000000002i−2i2i−2i0000
χ464-4-444-4-4404-40000000000000000000000000000000000−2i2i−2i2i0000
χ474-4-444-4-440-4400000000000000000000000000000000002i−2i−2i2i0000
χ484-4-444-4-440-440000000000000000000000000000000000−2i2i2i−2i0000
χ494-4-44-444-400000004-400000000004i−4i000000000000000000000000
χ504-4-44-444-400000004-40000000000−4i4i000000000000000000000000
χ514-4-44-444-40000000-4400004i−4i000000000000000000000000000000
χ524-4-44-444-40000000-440000−4i4i000000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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