Finite Group Databasebeta

← Group #176281

Character table — Group #176281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111122224444448888888888888881616161616161616161616161616161616163232
order12222222444444444422444444444444424444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11111-1-1-1-111-11-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11111-1-1-1-111-11-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1111111-1-11-1-11-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1-111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-11111-1-1-1-111-1-111-1-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-11111-1-1-1-111-1-111-1-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-111-1-11111-1-1-1-11-11-11-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-111-1-11111-1-1-1-11-11-11-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-222222200000000-2-2-200-20000000000000000
χ182222222222222-2-2-2-22-2-22-2-200000000-2-220020000000000000000
χ19222222222222-222-2-2-200-200000022222-200-200-200000000000000
χ20222222222222-222-2-2-200-2000000-2-2-2-22-200200200000000000000
χ21222222222222-2-2-222-200-20022220000-220-200-2000000000000000
χ22222222222222-2-2-222-200-200-2-2-2-20000-2202002000000000000000
χ2322222222-2-2-2-22-2-2-2-2222-2-2-20000000022200-20000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-2-2220000000022-20020000000000000000
χ2522222222-2-2-2-2-222-2-2-200200000022-2-2-2200-200200000000000000
χ2622222222-2-2-2-2-222-2-2-2002000000-2-222-2200200-200000000000000
χ2722222222-2-2-2-2-2-2-222-20020022-2-200002-20-2002000000000000000
χ2822222222-2-2-2-2-2-2-222-200200-2-22200002-20200-2000000000000000
χ2944-44-4-44-400000004-4000000004i−4i00000000000000000000000000
χ3044-44-4-44-400000004-400000000−4i4i00000000000000000000000000
χ3144-44-4-44-40000000-440000004i−4i0000000000000000000000000000
χ3244-44-4-44-40000000-44000000−4i4i0000000000000000000000000000
χ3344-4-44-4-444i4i−4i−4i00000000000000000000000000000002i−2i2-2000000
χ3444-4-44-4-444i4i−4i−4i0000000000000000000000000000000−2i2i-22000000
χ3544-4-44-4-44−4i−4i4i4i00000000000000000000000000000002i−2i-22000000
χ3644-4-44-4-44−4i−4i4i4i0000000000000000000000000000000−2i2i2-2000000
χ374-444-4-4-44000004-4000000000000004i−4i0000000000000000000000
χ384-444-4-4-44000004-400000000000000−4i4i0000000000000000000000
χ394-444-4-4-4400000-440000000000004i−4i000000000000000000000000
χ404-444-4-4-4400000-44000000000000−4i4i000000000000000000000000
χ414-44-44-44-44i−4i4i−4i0000000000000000000000000002-22i−2i0000000000
χ424-44-44-44-44i−4i4i−4i000000000000000000000000000-22−2i2i0000000000
χ434-44-44-44-4−4i4i−4i4i0000000000000000000000000002-2−2i2i0000000000
χ444-44-44-44-4−4i4i−4i4i000000000000000000000000000-222i−2i0000000000
χ454-4-4444-4-44-4-44000000000000000000000000000000000002i−2i2i−2i00
χ464-4-4444-4-44-4-4400000000000000000000000000000000000−2i2i−2i2i00
χ474-4-4444-4-4-444-4000000000000000000000000000000000002i−2i−2i2i00
χ484-4-4444-4-4-444-400000000000000000000000000000000000−2i2i2i−2i00
χ494-4-4-4-4444000040000-40004i−4i000000000000000000000000000000
χ504-4-4-4-4444000040000-4000−4i4i000000000000000000000000000000
χ514-4-4-4-44440000-4000044-4000000000000000000000000000000000
χ524-4-4-4-44440000-400004-44000000000000000000000000000000000
χ53888-8-88-8-8000000000000000000000000000000000000000000000

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