Finite Group Databasebeta

← Group #176224

Character table — Group #176224

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111122224444448888888888888881616161616161616161616161616161616163232
order12222222444444444422444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-1111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-1111-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-11-1-11-1-1111-1-111-1-1-11-1111111111-1-1-1-1-1-1
χ8111111111111111111-1-11-1-11-1-1111-1-111-1-1-11-11-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-11-111-111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-1-111-111-1-1-1-1-1111-111-1-111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111-1-1-111-111-1-1-1-1-1111-111-1-1-1-11111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-1-111-1-1-111-111-1-1-111-1-1111-1-111-1-1-1-111-11
χ1611111111-1-1-1-1111111-1-1-111-1-1-111-111-1-1-111-1-11-1-111-1-11111-1-11-1
χ172222222222222-2-2-2-2200200-20022-20022000-20-200000000000000
χ182222222222222-2-2-2-2200200-200-2-2-200-2-200020200000000000000
χ19222222222222-222-2-2-222-22220000-2000000-20-2000000000000000
χ20222222222222-222-2-2-2-2-2-2-2-220000-2000000202000000000000000
χ21222222222222-2-2-222-200-200-2220022200-2-2000000000000000000
χ22222222222222-2-2-222-200-200-2-2-2002-2-20022000000000000000000
χ2322222222-2-2-2-22-2-2-2-2200-20020022200-2-200020-200000000000000
χ2422222222-2-2-2-22-2-2-2-2200-200200-2-220022000-20200000000000000
χ2522222222-2-2-2-2-222-2-2-2222-2-2-20000200000020-2000000000000000
χ2622222222-2-2-2-2-222-2-2-2-2-2222-200002000000-202000000000000000
χ2722222222-2-2-2-2-2-2-222-20020022200-2-2-200-22000000000000000000
χ2822222222-2-2-2-2-2-2-222-2002002-2-200-222002-2000000000000000000
χ29444-4-44-4-4000004-40000004-4000000000000000000000000000000
χ30444-4-44-4-4000004-4000000-44000000000000000000000000000000
χ31444-4-44-4-400000-440004-4000000000000000000000000000000000
χ32444-4-44-4-400000-44000-44000000000000000000000000000000000
χ3344-44-4-4-444i4i−4i−4i00000000000000000000000000000002i−2i2-2000000
χ3444-44-4-4-444i4i−4i−4i0000000000000000000000000000000−2i2i-22000000
χ3544-44-4-4-44−4i−4i4i4i00000000000000000000000000000002i−2i-22000000
χ3644-44-4-4-44−4i−4i4i4i0000000000000000000000000000000−2i2i2-2000000
χ374-4444-4-4-44-44-4000000000000000000000000000000000002-22-200
χ384-4444-4-4-44-44-400000000000000000000000000000000000-22-2200
χ394-4444-4-4-4-44-44000000000000000000000000000000000002-2-2200
χ404-4444-4-4-4-44-4400000000000000000000000000000000000-222-200
χ414-44-4-4-44400000004-40000000000004-40000000000000000000000
χ424-44-4-4-44400000004-4000000000000-440000000000000000000000
χ434-44-4-4-4440000000-4400000004-4000000000000000000000000000
χ444-44-4-4-4440000000-440000000-44000000000000000000000000000
χ454-4-44-444-44i−4i−4i4i0000000000000000000000000002-22i−2i0000000000
χ464-4-44-444-44i−4i−4i4i000000000000000000000000000-22−2i2i0000000000
χ474-4-44-444-4−4i4i4i−4i0000000000000000000000000002-2−2i2i0000000000
χ484-4-44-444-4−4i4i4i−4i000000000000000000000000000-222i−2i0000000000
χ494-4-4-444-44000040000-4000000004i−4i0000000000000000000000000
χ504-4-4-444-44000040000-400000000−4i4i0000000000000000000000000
χ514-4-4-444-440000-40000400000000000004-400000000000000000000
χ524-4-4-444-440000-4000040000000000000-4400000000000000000000
χ5388-8-88-88-8000000000000000000000000000000000000000000000

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