Finite Group Databasebeta

← Group #350040

Character table — Group #350040

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422222444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-111-1-1-11111-1-11111-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-111-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-1-1-111-1-1-1-111-111-1-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-111-1-1-1-1-1-1-111-1-1-1-111-111-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-111-11111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-111-11111-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-111-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ1722222222222222-2-2-2-2-20000-200000022-2-2222000000-2-200000000000000
χ1822222222222222-2-2-2-2-20000-2000000-2-222-2-220000002200000000000000
χ19222222222222-2-222-2-2222-2-2-2000000000000-2-2-222000000000000000000
χ20222222222222-2-222-2-22-2-222-2000000000000-222-2-2000000000000000000
χ21222222222222-2-2-2-222-20000222-2-222000000-20000-2-20000000000000000
χ22222222222222-2-2-2-222-200002-2-222-2-2000000-20000220000000000000000
χ2322222222-2-2-2-222-2-2-2-220000200000022-2-2-2-2-20000002200000000000000
χ2422222222-2-2-2-222-2-2-2-2200002000000-2-22222-2000000-2-200000000000000
χ2522222222-2-2-2-2-2-222-2-2-2222220000000000002-2-2-2-2000000000000000000
χ2622222222-2-2-2-2-2-222-2-2-2-2-2-2-2200000000000022222000000000000000000
χ2722222222-2-2-2-2-2-2-2-22220000-222-2-2-2-200000020000220000000000000000
χ2822222222-2-2-2-2-2-2-2-22220000-2-2-2222200000020000-2-20000000000000000
χ2922-2-2-222-200002-22-22-20002-2000002i−2i2i−2i2i−2i000002-22i−2i0000000000000000
χ3022-2-2-222-200002-22-22-20002-200000−2i2i−2i2i−2i2i000002-2−2i2i0000000000000000
χ3122-2-2-222-200002-22-22-2000-22000002i−2i−2i2i−2i2i00000-222i−2i0000000000000000
χ3222-2-2-222-200002-22-22-2000-2200000−2i2i2i−2i2i−2i00000-22−2i2i0000000000000000
χ3322-2-2-222-200002-2-22-2202-20002i−2i2i−2i002i−2i−2i2i0002-200000000000000000000
χ3422-2-2-222-200002-2-22-2202-2000−2i2i−2i2i00−2i2i2i−2i0002-200000000000000000000
χ3522-2-2-222-200002-2-22-220-220002i−2i2i−2i00−2i2i2i−2i000-2200000000000000000000
χ3622-2-2-222-200002-2-22-220-22000−2i2i−2i2i002i−2i−2i2i000-2200000000000000000000
χ3722-2-2-222-20000-222-2-220002-202i−2i−2i2i0000002i−2i000-22002i−2i00000000000000
χ3822-2-2-222-20000-222-2-220002-20−2i2i2i−2i000000−2i2i000-2200−2i2i00000000000000
χ3922-2-2-222-20000-222-2-22000-2202i−2i−2i2i000000−2i2i0002-200−2i2i00000000000000
χ4022-2-2-222-20000-222-2-22000-220−2i2i2i−2i0000002i−2i0002-2002i−2i00000000000000
χ4122-2-2-222-20000-22-222-202-200000002i−2i0000−2i2i0-2200−2i2i2i−2i00000000000000
χ4222-2-2-222-20000-22-222-202-20000000−2i2i00002i−2i0-22002i−2i−2i2i00000000000000
χ4322-2-2-222-20000-22-222-20-2200000002i−2i00002i−2i02-200−2i2i−2i2i00000000000000
χ4422-2-2-222-20000-22-222-20-220000000−2i2i0000−2i2i02-2002i−2i2i−2i00000000000000
χ45444-4-4-4-444i4i−4i−4i0000000000000000000000000000000002-22i−2i0000000000
χ46444-4-4-4-444i4i−4i−4i000000000000000000000000000000000-22−2i2i0000000000
χ47444-4-4-4-44−4i−4i4i4i0000000000000000000000000000000002-2−2i2i0000000000
χ48444-4-4-4-44−4i−4i4i4i000000000000000000000000000000000-222i−2i0000000000
χ494-444-44-4-44-44-4000000000000000000000000000000000000000002i−2i2i−2i00
χ504-444-44-4-44-44-400000000000000000000000000000000000000000−2i2i−2i2i00
χ514-444-44-4-4-44-44000000000000000000000000000000000000000002i−2i−2i2i00
χ524-444-44-4-4-44-4400000000000000000000000000000000000000000−2i2i2i−2i00
χ534-44-44-44-44i−4i−4i4i00000000000000000000000000000000000002-22i−2i000000
χ544-44-44-44-44i−4i−4i4i0000000000000000000000000000000000000-22−2i2i000000
χ554-44-44-44-4−4i4i4i−4i00000000000000000000000000000000000002-2−2i2i000000
χ564-44-44-44-4−4i4i4i−4i0000000000000000000000000000000000000-222i−2i000000
χ5788-888-8-8-8000000000000000000000000000000000000000000000000000
χ588-8-88-8-888000000000000000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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