Finite Group Databasebeta

← Group #29356

Character table — Group #29356

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444444444444888888882244
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
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ1722222222-2-22222-2-2-2-222-2-222-2-200000000000000000000
χ1822222222-2-22222-2-2-2-2-2-222-2-22200000000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000
χ21222-2-2-2-222-222-2-22-22-2000000000000000000002i−2i2i−2i0000
χ22222-2-2-2-222-222-2-22-22-200000000000000000000−2i2i−2i2i0000
χ23222-2-2-2-222-2-2-2222-2-22000000000000000000002i−2i−2i2i0000
χ24222-2-2-2-222-2-2-2222-2-2200000000000000000000−2i2i2i−2i0000
χ25222-2-2-2-22-2222-2-2-22-2200000000000000002i−2i2i−2i00000000
χ26222-2-2-2-22-2222-2-2-22-220000000000000000−2i2i−2i2i00000000
χ27222-2-2-2-22-22-2-222-222-200000000000000002i−2i−2i2i00000000
χ28222-2-2-2-22-22-2-222-222-20000000000000000−2i2i2i−2i00000000
χ2922-222-2-2-22-20000-220000002i−2i2i−2i002i−2i2-200000000000000
χ3022-222-2-2-22-20000-220000002i−2i2i−2i00−2i2i-2200000000000000
χ3122-222-2-2-22-20000-22000000−2i2i−2i2i002i−2i-2200000000000000
χ3222-222-2-2-22-20000-22000000−2i2i−2i2i00−2i2i2-200000000000000
χ3322-222-2-2-2-2200002-20000002i−2i−2i2i2-200002i−2i000000000000
χ3422-222-2-2-2-2200002-20000002i−2i−2i2i-220000−2i2i000000000000
χ3522-222-2-2-2-2200002-2000000−2i2i2i−2i2-20000−2i2i000000000000
χ3622-222-2-2-2-2200002-2000000−2i2i2i−2i-2200002i−2i000000000000
χ3744-4-4-444-4440000-4-4000000000000000000000000000000
χ3844-4-4-444-4-4-4000044000000000000000000000000000000
χ394-444-44-4-40000000000004i−4i000000000000000000000000
χ404-444-44-4-4000000000000−4i4i000000000000000000000000
χ414-44-44-44-400000000004i−4i00000000000000000000000000
χ424-44-44-44-40000000000−4i4i00000000000000000000000000
χ434-4-44-4-444004-44-400000000000000000000000000000000
χ444-4-44-4-44400-44-4400000000000000000000000000000000
χ454-4-4-444-44004-4-4400000000000000000000000000000000
χ464-4-4-444-4400-444-400000000000000000000000000000000

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