Finite Group Databasebeta

← Group #349404

Character table — Group #349404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422224444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-200002-2000000000022-2-222-200-2-200000000000000
χ182222222222222-2-22-2-200002-20000000000-2-222-2-2-2002200000000000000
χ19222222222222-22-2-22-20022-2-2000000-2-2220000002-2-20000000000000000
χ20222222222222-22-2-22-200-2-2-2-200000022-2-20000002220000000000000000
χ21222222222222-2-22-2-222200-22-2-222-2-20000000000-2000000000000000000
χ22222222222222-2-22-2-22-2-200-2222-2-2220000000000-2000000000000000000
χ2322222222-2-2-2-22-2-22-2-20000-22000000000022-2-2-2-22002200000000000000
χ2422222222-2-2-2-22-2-22-2-20000-220000000000-2-22222200-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-2002222000000-2-2-2-2000000-2220000000000000000
χ2622222222-2-2-2-2-22-2-22-200-2-2220000002222000000-2-2-20000000000000000
χ2722222222-2-2-2-2-2-22-2-2222002-2-2-2-2-22200000000002000000000000000000
χ2822222222-2-2-2-2-2-22-2-22-2-2002-22222-2-200000000002000000000000000000
χ2922-222-2-2-20000222-2-2-22-22-2002-200002-2002-22-2000000000000000000000
χ3022-222-2-2-20000222-2-2-22-2-22002-20000-2200-22-22000000000000000000000
χ3122-222-2-2-20000222-2-2-2-222-200-2200002-200-22-22000000000000000000000
χ3222-222-2-2-20000222-2-2-2-22-2200-220000-22002-22-2000000000000000000000
χ3322-222-2-2-200002-2-2-222000000002i−2i2i−2i002i−2i2-2-220002i−2i0000000000000000
χ3422-222-2-2-200002-2-2-222000000002i−2i2i−2i00−2i2i-222-2000−2i2i0000000000000000
χ3522-222-2-2-200002-2-2-22200000000−2i2i−2i2i002i−2i-222-20002i−2i0000000000000000
χ3622-222-2-2-200002-2-2-22200000000−2i2i−2i2i00−2i2i2-2-22000−2i2i0000000000000000
χ3722-222-2-2-20000-22-22-22002-200002i−2i−2i2i-220000002i−2i0002i−2i00000000000000
χ3822-222-2-2-20000-22-22-22002-20000−2i2i2i−2i-22000000−2i2i000−2i2i00000000000000
χ3922-222-2-2-20000-22-22-2200-2200002i−2i−2i2i2-2000000−2i2i000−2i2i00000000000000
χ4022-222-2-2-20000-22-22-2200-220000−2i2i2i−2i2-20000002i−2i0002i−2i00000000000000
χ4122-222-2-2-20000-2-2222-22-20000-220000002i−2i00002i−2i0−2i2i−2i2i00000000000000
χ4222-222-2-2-20000-2-2222-22-20000-22000000−2i2i0000−2i2i02i−2i2i−2i00000000000000
χ4322-222-2-2-20000-2-2222-2-2200002-20000002i−2i0000−2i2i0−2i2i2i−2i00000000000000
χ4422-222-2-2-20000-2-2222-2-2200002-2000000−2i2i00002i−2i02i−2i−2i2i00000000000000
χ45444-4-44-4-444-4-40000000000000000000000000000000002-22-20000000000
χ46444-4-44-4-444-4-4000000000000000000000000000000000-22-220000000000
χ47444-4-44-4-4-4-4440000000000000000000000000000000002-2-220000000000
χ48444-4-44-4-4-4-444000000000000000000000000000000000-222-20000000000
χ494-4-44-444-44-44-4000000000000000000000000000000000000000002i−2i2i−2i00
χ504-4-44-444-44-44-400000000000000000000000000000000000000000−2i2i−2i2i00
χ514-4-44-444-4-44-44000000000000000000000000000000000000000002i−2i−2i2i00
χ524-4-44-444-4-44-4400000000000000000000000000000000000000000−2i2i2i−2i00
χ534-4-4-444-444-4-4400000000000000000000000000000000000002-22-2000000
χ544-4-4-444-444-4-440000000000000000000000000000000000000-22-22000000
χ554-4-4-444-44-444-400000000000000000000000000000000000002-2-22000000
χ564-4-4-444-44-444-40000000000000000000000000000000000000-222-2000000
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-888-8-8-88000000000000000000000000000000000000000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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