Finite Group Databasebeta

← Group #29762

Character table — Group #29762

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444224444444444444444888888882444
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
χ2122-222-2-2-2002i2i−2i−2i0000002i−2i002-2000000002−2i2−i2i2−i22−20000
χ2222-222-2-2-2002i2i−2i−2i0000002i−2i002-200000000−22−i2i2−i2i2−220000
χ2322-222-2-2-2002i2i−2i−2i000000−2i2i00-22000000002−2i2−i2−i2i2−220000
χ2422-222-2-2-2002i2i−2i−2i000000−2i2i00-2200000000−22−i2i2i2−i22−20000
χ2522-222-2-2-200−2i−2i2i2i0000002i−2i00-22000000002−2−i2i2i2−i2−220000
χ2622-222-2-2-200−2i−2i2i2i0000002i−2i00-2200000000−22i2−i2−i2i22−20000
χ2722-222-2-2-200−2i−2i2i2i000000−2i2i002-2000000002−2−i2i2−i2i22−20000
χ2822-222-2-2-200−2i−2i2i2i000000−2i2i002-200000000−22i2−i2i2−i2−220000
χ292-2-22-222-2222-22-2-2-22-20000000000002i−2i2i−2i000000000000
χ302-2-22-222-2222-22-2-2-22-2000000000000−2i2i−2i2i000000000000
χ312-2-22-222-222-22-22-2-2-220000000000002i−2i−2i2i000000000000
χ322-2-22-222-222-22-22-2-2-22000000000000−2i2i2i−2i000000000000
χ332-2-22-222-2-2-22-22-222-22000000002-22-20000000000000000
χ342-2-22-222-2-2-22-22-222-2200000000-22-220000000000000000
χ352-2-22-222-2-2-2-22-22222-2000000002-2-220000000000000000
χ362-2-22-222-2-2-2-22-22222-200000000-222-20000000000000000
χ37444-4-44-4-44-400004-4000000000000000000000000000000
χ38444-4-44-4-4-440000-44000000000000000000000000000000
χ3944-4-4-4-44400000000004i−4i00000000000000000000000000
χ4044-4-4-4-4440000000000−4i4i00000000000000000000000000
χ414-444-4-4-44004i−4i−4i4i00000000000000000000000000000000
χ424-444-4-4-4400−4i4i4i−4i00000000000000000000000000000000
χ434-44-44-44-4000000000000004i−4i0000000000000000000000
χ444-44-44-44-400000000000000−4i4i0000000000000000000000
χ454-4-4-444-444-40000-44000000000000000000000000000000
χ464-4-4-444-44-4400004-4000000000000000000000000000000

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