Finite Group Databasebeta

← Group #176279

Character table — Group #176279

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111122224444448888888888888881616161616161616161616161616161616163232
order12222222444444444444444444444444424444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1111-111-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1111111-1-1-1-11-1-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1111111-1-1-1-11-1-11-1-1-1-11-1-1-1-111111111-1-1
χ7111111111111111111-1-111-1-1-1-111111-1-1-1-1-111-111111111-1-1-1-1-1-1
χ8111111111111111111-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-111111111-1-111-1-111-1-1-1-1-111-11-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-111-1-111-1-1-1-1-111-11-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11-1-111-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1111-11-11-111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1111-11-11-1-1-11111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1-111-1111-1-111-1-1-1-111-11
χ1611111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1-111-11-1-111-1-11111-1-11-1
χ172222222222222-2-2-2-2200-2-200002222200000-2-2000000000000000
χ182222222222222-2-2-2-2200-2-20000-2-2-2-220000022000000000000000
χ19222222222222-222-2-2-2002-222220000-200-20000-200000000000000
χ20222222222222-222-2-2-2002-2-2-2-2-20000-20020000200000000000000
χ21222222222222-2-2-222-222-2200000000-2220-2-200000000000000000
χ22222222222222-2-2-222-2-2-2-2200000000-2-2-202200000000000000000
χ2322222222-2-2-2-22-2-2-2-220022000022-2-2-200000-22000000000000000
χ2422222222-2-2-2-22-2-2-2-2200220000-2-222-2000002-2000000000000000
χ2522222222-2-2-2-2-222-2-2-200-2222-2-20000200-20000200000000000000
χ2622222222-2-2-2-2-222-2-2-200-22-2-222000020020000-200000000000000
χ2722222222-2-2-2-2-2-2-222-2222-2000000002-2-20-2200000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-22-20000000022202-200000000000000000
χ294444-4-4-4-4000040000-4000000004-40000000000000000000000000
χ304444-4-4-4-4000040000-400000000-440000000000000000000000000
χ314444-4-4-4-40000-40000400000000004i−4i00000000000000000000000
χ324444-4-4-4-40000-4000040000000000−4i4i00000000000000000000000
χ3344-4-4-4-44444-4-4000000000000000000000000000000000002i−2i2i−2i00
χ3444-4-4-4-44444-4-400000000000000000000000000000000000−2i2i−2i2i00
χ3544-4-4-4-444-4-444000000000000000000000000000000000002i−2i−2i2i00
χ3644-4-4-4-444-4-44400000000000000000000000000000000000−2i2i2i−2i00
χ374-44-44-44-400000004-4000000000000004i−4i00000000000000000000
χ384-44-44-44-400000004-400000000000000−4i4i00000000000000000000
χ394-44-44-44-40000000-4404i−4i000000000000000000000000000000000
χ404-44-44-44-40000000-440−4i4i000000000000000000000000000000000
χ414-44-4-44-444i−4i4i−4i0000000000000000000000000002i−2i2-20000000000
χ424-44-4-44-444i−4i4i−4i000000000000000000000000000−2i2i-220000000000
χ434-44-4-44-44−4i4i−4i4i0000000000000000000000000002i−2i-220000000000
χ444-44-4-44-44−4i4i−4i4i000000000000000000000000000−2i2i2-20000000000
χ454-4-444-4-444i−4i−4i4i00000000000000000000000000000002-22i−2i000000
χ464-4-444-4-444i−4i−4i4i0000000000000000000000000000000-22−2i2i000000
χ474-4-444-4-44−4i4i4i−4i00000000000000000000000000000002-2−2i2i000000
χ484-4-444-4-44−4i4i4i−4i0000000000000000000000000000000-222i−2i000000
χ494-4-44-444-4000004-40000000004i−4i000000000000000000000000000
χ504-4-44-444-4000004-4000000000−4i4i000000000000000000000000000
χ514-4-44-444-400000-4400000004i−4i00000000000000000000000000000
χ524-4-44-444-400000-440000000−4i4i00000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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