Finite Group Databasebeta

← Group #348275

Character table — Group #348275

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-11111-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-11111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-11111-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-11111-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-2002-200000022-20000-2-2220000-2-200000000000000
χ182222222222222-2-22-2-2002-2000000-2-2-2000022-2-200002200000000000000
χ19222222222222-22-2-22-200-2200222200-200-2-2000000-2-20000000000000000
χ20222222222222-22-2-22-200-2200-2-2-2-200-20022000000220000000000000000
χ21222222222222-2-22-2-2222-2-2220000002-2-2000000-2-2000000000000000000
χ22222222222222-2-22-2-22-2-2-2-2-2-200000022200000022000000000000000000
χ2322222222-2-2-2-22-2-22-2-200-220000002220000-2-2-2-200002200000000000000
χ2422222222-2-2-2-22-2-22-2-200-22000000-2-22000022220000-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-2002-20022-2-200200-2-2000000220000000000000000
χ2622222222-2-2-2-2-22-2-22-2002-200-2-2220020022000000-2-20000000000000000
χ2722222222-2-2-2-2-2-22-2-222222-2-2000000-222000000-2-2000000000000000000
χ2822222222-2-2-2-2-2-22-2-22-2-22222000000-2-2-200000022000000000000000000
χ2922-2-2-22-22000022-2-2-222-200002i−2i002i−2i0002i−2i2i−2i002-2000000000000000000
χ3022-2-2-22-22000022-2-2-222-20000−2i2i00−2i2i000−2i2i−2i2i002-2000000000000000000
χ3122-2-2-22-22000022-2-2-22-2200002i−2i00−2i2i0002i−2i−2i2i00-22000000000000000000
χ3222-2-2-22-22000022-2-2-22-220000−2i2i002i−2i000−2i2i2i−2i00-22000000000000000000
χ3322-2-2-22-2200002-22-22-200002i−2i002-22i−2i02i−2i00−2i2i00002-20000000000000000
χ3422-2-2-22-2200002-22-22-200002i−2i00-22−2i2i02i−2i002i−2i0000-220000000000000000
χ3522-2-2-22-2200002-22-22-20000−2i2i002-2−2i2i0−2i2i002i−2i00002-20000000000000000
χ3622-2-2-22-2200002-22-22-20000−2i2i00-222i−2i0−2i2i00−2i2i0000-220000000000000000
χ3722-2-2-22-220000-2222-2-200002i−2i2i−2i00000−2i2i−2i2i002-200002-200000000000000
χ3822-2-2-22-220000-2222-2-200002i−2i−2i2i00000−2i2i2i−2i00-220000-2200000000000000
χ3922-2-2-22-220000-2222-2-20000−2i2i2i−2i000002i−2i−2i2i00-220000-2200000000000000
χ4022-2-2-22-220000-2222-2-20000−2i2i−2i2i000002i−2i2i−2i002-200002-200000000000000
χ4122-2-2-22-220000-2-2-22222-20000002-20000000002-2-22-22-2200000000000000
χ4222-2-2-22-220000-2-2-22222-2000000-22000000000-22-222-22-200000000000000
χ4322-2-2-22-220000-2-2-2222-220000002-2000000000-222-2-222-200000000000000
χ4422-2-2-22-220000-2-2-2222-22000000-220000000002-22-22-2-2200000000000000
χ454444-4-4-4-444-4-40000000000000000000000000000000002-22-20000000000
χ464444-4-4-4-444-4-4000000000000000000000000000000000-22-220000000000
χ474444-4-4-4-4-4-4440000000000000000000000000000000002-2-220000000000
χ484444-4-4-4-4-4-444000000000000000000000000000000000-222-20000000000
χ494-44-44-4-444i−4i4i−4i000000000000000000000000000000000000000002i−2i2-200
χ504-44-44-4-444i−4i4i−4i00000000000000000000000000000000000000000−2i2i-2200
χ514-44-44-4-44−4i4i−4i4i000000000000000000000000000000000000000002i−2i-2200
χ524-44-44-4-44−4i4i−4i4i00000000000000000000000000000000000000000−2i2i2-200
χ534-44-4-444-44i−4i−4i4i00000000000000000000000000000000000002-22i−2i000000
χ544-44-4-444-44i−4i−4i4i0000000000000000000000000000000000000-22−2i2i000000
χ554-44-4-444-4−4i4i4i−4i00000000000000000000000000000000000002-2−2i2i000000
χ564-44-4-444-4−4i4i4i−4i0000000000000000000000000000000000000-222i−2i000000
χ5788-8-88-88-8000000000000000000000000000000000000000000000000000
χ588-8-8888-8-8000000000000000000000000000000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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