Finite Group Databasebeta

← Group #29445

Character table — Group #29445

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444422444444888888882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ91111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ121111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ131111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-11-1
χ141111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-11
χ151111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-11
χ161111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-1
χ1722222222-2-22222-2-222-2-222-2-2-2-200000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-222-2-200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ2122-222-2-2-22-200002-22i−2i0000002i−2i002-2002i−2i000000000000
χ2222-222-2-2-22-200002-22i−2i0000002i−2i00-2200−2i2i000000000000
χ2322-222-2-2-22-200002-2−2i2i000000−2i2i002-200−2i2i000000000000
χ2422-222-2-2-22-200002-2−2i2i000000−2i2i00-22002i−2i000000000000
χ2522-222-2-2-2-220000-222i−2i000000−2i2i2-2002i−2i00000000000000
χ2622-222-2-2-2-220000-222i−2i000000−2i2i-2200−2i2i00000000000000
χ2722-222-2-2-2-220000-22−2i2i0000002i−2i2-200−2i2i00000000000000
χ2822-222-2-2-2-220000-22−2i2i0000002i−2i-22002i−2i00000000000000
χ2922-2-2-222-22-22i2i−2i−2i-22002i−2i000000000000002-22i−2i00000000
χ3022-2-2-222-22-22i2i−2i−2i-22002i−2i00000000000000-22−2i2i00000000
χ3122-2-2-222-22-2−2i−2i2i2i-2200−2i2i000000000000002-2−2i2i00000000
χ3222-2-2-222-22-2−2i−2i2i2i-2200−2i2i00000000000000-222i−2i00000000
χ3322-2-2-222-2-222i2i−2i−2i2-200−2i2i0000000000000000002-22i−2i0000
χ3422-2-2-222-2-222i2i−2i−2i2-200−2i2i000000000000000000-22−2i2i0000
χ3522-2-2-222-2-22−2i−2i2i2i2-2002i−2i0000000000000000002-2−2i2i0000
χ3622-2-2-222-2-22−2i−2i2i2i2-2002i−2i000000000000000000-222i−2i0000
χ37444-4-4-4-44440000-4-4000000000000000000000000000000
χ38444-4-4-4-44-4-4000044000000000000000000000000000000
χ394-444-44-4-4000000000000004i−4i0000000000000000000000
χ404-444-44-4-400000000000000−4i4i0000000000000000000000
χ414-44-44-44-4004i−4i4i−4i00000000000000000000000000000000
χ424-44-44-44-400−4i4i−4i4i00000000000000000000000000000000
χ434-4-44-4-444004-4-4400000000000000000000000000000000
χ444-4-44-4-44400-444-400000000000000000000000000000000
χ454-4-4-444-440000000000004-4000000000000000000000000
χ464-4-4-444-44000000000000-44000000000000000000000000

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