Finite Group Databasebeta

← Group #485359

Character table — Group #485359

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444888888888888888888888161616161616323232323232
order12222222224444444444444444444444444444444244444888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ91111-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-111-1-111-1-111111-1-1-11-11-11-1
χ101111-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-111-1-111-1-111-1-11-111-11-11-11
χ111111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-11111111-1-1-11-1-11-11
χ121111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-11111-1-11-111-111-11-1
χ131111-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-11
χ141111-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11111-1-111-1
χ151111-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11111-11-1-1-11-111-1
χ161111-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11111-11-1-11
χ17222222222200000000-2-2-22-2000022220000-2-2-2-22-2000000000000
χ18222222222200000000-2-2-22-20000-2-2-2-2000022222-2000000000000
χ19222222222200000000-2-2-2-2222220000-2-2-2-20000-22000000000000
χ20222222222200000000-2-2-2-22-2-2-2-2000022220000-22000000000000
χ21222222222222222222222-2-20000000000000000-2-200-2-200000000
χ222222222222-2-2-2-2-2-2-2-2222-2-20000000000000000-2-2002200000000
χ232222-2-2-2-22200000000-2-222-222-2-20000-2-2220000-22000000000000
χ242222-2-2-2-22200000000-2-222-2-2-222000022-2-20000-22000000000000
χ252222-2-2-2-22200000000-2-22-22000022-2-20000-2-2222-2000000000000
χ262222-2-2-2-22200000000-2-22-220000-2-222000022-2-22-2000000000000
χ272222-2-2-2-2222222-2-2-2-222-2220000000000000000-2-200-2200000000
χ282222-2-2-2-222-2-2-2-2222222-2220000000000000000-2-2002-200000000
χ29444444-4-4-4-400000000000000000000000000000002-2002-2000000
χ30444444-4-4-4-40000000000000000000000000000000-2200-22000000
χ314444-4-444-4-400000000000000000000000000000002-200-22000000
χ324444-4-444-4-40000000000000000000000000000000-22002-2000000
χ3344-4-400004-4000044-4-44-4000000000000000000000000000000000
χ3444-4-400004-40000-4-4444-4000000000000000000000000000000000
χ3544-4-400004-444-4-40000-44000000000000000000000000000000000
χ3644-4-400004-4-4-4440000-44000000000000000000000000000000000
χ374-44-4004-4002-22-22-22-2000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ384-44-4004-4002-22-22-22-200000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ394-44-4004-400-22-22-22-22000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ404-44-4004-400-22-22-22-2200000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ414-44-400-44002-22-2-22-22000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ424-44-400-44002-22-2-22-2200000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ434-44-400-4400-22-222-22-2000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ444-44-400-4400-22-222-22-200000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ454-4-444-400002-2-222-2-2200000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ464-4-444-400002-2-222-2-220000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ474-4-444-40000-222-2-222-200000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ484-4-444-40000-222-2-222-20000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ494-4-44-4400002-2-22-222-200000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ504-4-44-4400002-2-22-222-20000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ514-4-44-440000-222-22-2-2200000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ524-4-44-440000-222-22-2-220000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ5388-8-80000-880000000000000000000000000000000000000000000

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