Finite Group Databasebeta

← Group #350112

Character table — Group #350112

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222224444444444222244444444444444444444488888888888844
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
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-111111111-1-11111-1-11111-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-111111111-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-111-1-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-111-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-2000000000022-2-222-2000000-2-200000000000000
χ18222222222222-2-222-2-2-2-20000000000-2-222-2-2-20000002200000000000000
χ192222222222-2-222-2-222-2-2000022-2-222000000-20000-2-20000000000000000
χ202222222222-2-222-2-222-2-20000-2-222-2-2000000-20000220000000000000000
χ212222222222-2-2-2-2-2-2-2-22222220000000000002-2-2-2-2000000000000000000
χ222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000022222000000000000000000
χ2322222222-2-22222-2-2-2-22222-2-2000000000000-2-2-222000000000000000000
χ2422222222-2-22222-2-2-2-222-2-222000000000000-222-2-2000000000000000000
χ2522222222-2-222-2-2-2-222-2-2000022-2-2-2-200000020000220000000000000000
χ2622222222-2-222-2-2-2-222-2-20000-2-2222200000020000-2-20000000000000000
χ2722222222-2-2-2-22222-2-2-2-2000000000022-2-2-2-220000002200000000000000
χ2822222222-2-2-2-22222-2-2-2-20000000000-2-222222000000-2-200000000000000
χ2922-2-2-222-20000002-22-22-2002-200002i−2i2i−2i2i−2i000002-22i−2i0000000000000000
χ3022-2-2-222-20000002-22-22-2002-20000−2i2i−2i2i−2i2i000002-2−2i2i0000000000000000
χ3122-2-2-222-20000002-22-22-200-2200002i−2i−2i2i−2i2i00000-222i−2i0000000000000000
χ3222-2-2-222-20000002-22-22-200-220000−2i2i2i−2i2i−2i00000-22−2i2i0000000000000000
χ3322-2-2-222-20000002-2-22-222-2002i−2i2i−2i002i−2i−2i2i0002-200000000000000000000
χ3422-2-2-222-20000002-2-22-222-200−2i2i−2i2i00−2i2i2i−2i0002-200000000000000000000
χ3522-2-2-222-20000002-2-22-22-22002i−2i2i−2i00−2i2i2i−2i000-2200000000000000000000
χ3622-2-2-222-20000002-2-22-22-2200−2i2i−2i2i002i−2i−2i2i000-2200000000000000000000
χ3722-2-2-222-2000000-222-2-222-20000002i−2i00002i−2i0-2200−2i2i2i−2i00000000000000
χ3822-2-2-222-2000000-222-2-222-2000000−2i2i0000−2i2i0-22002i−2i−2i2i00000000000000
χ3922-2-2-222-2000000-222-2-22-220000002i−2i0000−2i2i02-200−2i2i−2i2i00000000000000
χ4022-2-2-222-2000000-222-2-22-22000000−2i2i00002i−2i02-2002i−2i2i−2i00000000000000
χ4122-2-2-222-2000000-22-222-2002-22i−2i−2i2i0000002i−2i000-2200−2i2i00000000000000
χ4222-2-2-222-2000000-22-222-2002-2−2i2i2i−2i000000−2i2i000-22002i−2i00000000000000
χ4322-2-2-222-2000000-22-222-200-222i−2i−2i2i000000−2i2i0002-2002i−2i00000000000000
χ4422-2-2-222-2000000-22-222-200-22−2i2i2i−2i0000002i−2i0002-200−2i2i00000000000000
χ45444-4-4-4-4400004i−4i00000000000000000000000000000002-22i−2i0000000000
χ46444-4-4-4-4400004i−4i0000000000000000000000000000000-22−2i2i0000000000
χ47444-4-4-4-440000−4i4i00000000000000000000000000000002-2−2i2i0000000000
χ48444-4-4-4-440000−4i4i0000000000000000000000000000000-222i−2i0000000000
χ494-444-44-4-4004i−4i00000000000000000000000000000000000002-22i−2i000000
χ504-444-44-4-4004i−4i0000000000000000000000000000000000000-22−2i2i000000
χ514-444-44-4-400−4i4i00000000000000000000000000000000000002-2−2i2i000000
χ524-444-44-4-400−4i4i0000000000000000000000000000000000000-222i−2i000000
χ534-44-44-44-44-400000000000000000000000000000000000000000002i−2i2i−2i00
χ544-44-44-44-44-40000000000000000000000000000000000000000000−2i2i−2i2i00
χ554-44-44-44-4-4400000000000000000000000000000000000000000002i−2i−2i2i00
χ564-44-44-44-4-440000000000000000000000000000000000000000000−2i2i2i−2i00
χ5788-888-8-8-8000000000000000000000000000000000000000000000000000
χ588-8-88-8-888000000000000000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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