Finite Group Databasebeta

← Group #152661

Character table — Group #152661

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444222224424444488888888444488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-1-111-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1
χ511111111-1-1-111-1111-1-1-1-11111-11iiii−i−i−i−iii−i−i-1-1
χ611111111-1-1-111-1111-1-1-1-11111-11−i−i−i−iiiii−i−iii-1-1
χ711111111-1-1-111-1111-1-1-1-1-1-1-11-1-1iiii−i−i−i−i−i−iii11
χ811111111-1-1-111-1111-1-1-1-1-1-1-11-1-1−i−i−i−iiiiiii−i−i11
χ9111111-1-111111111-111-1-11-1-1-1-1111-1-111-1-11-11-11-1
χ10111111-1-111111111-111-1-11-1-1-1-11-1-111-1-111-11-111-1
χ11111111-1-111111111-111-1-1-111-1-1-111-1-111-1-1-11-11-11
χ12111111-1-111111111-111-1-1-111-1-1-1-1-111-1-1111-11-1-11
χ13111111-1-1-1-1-111-111-1-1-1111-1-1-111ii−i−i−i−iiii−i−ii-11
χ14111111-1-1-1-1-111-111-1-1-1111-1-1-111−i−iiiii−i−i−iii−i-11
χ15111111-1-1-1-1-111-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1
χ16111111-1-1-1-1-111-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1
χ1722222222222222-2-22-2-222000-2-2000000000000000
χ1822222222-2-2-222-2-2-2222-2-2000-22000000000000000
χ19222222-2-2222222-2-2-2-2-2-2-200022000000000000000
χ20222222-2-2-2-2-222-2-2-2-222220002-2000000000000000
χ212-2-22-220022-22-2-22-202-200000000002i−2i002i−2i000000
χ222-2-22-220022-22-2-22-202-20000000000−2i2i00−2i2i000000
χ232-2-22-220022-22-2-2-220-22000000002i−2i002i−2i00000000
χ242-2-22-220022-22-2-2-220-2200000000−2i2i00−2i2i00000000
χ252-2-22-2200-2-222-222-20-2200000000002-200-22000000
χ262-2-22-2200-2-222-222-20-220000000000-22002-2000000
χ272-2-22-2200-2-222-22-2202-2000000002-200-2200000000
χ282-2-22-2200-2-222-22-2202-200000000-22002-200000000
χ2944444444000-4-4000-4000000000000000000000000
χ30444444-4-4000-4-40004000000000000000000000000
χ314444-4-44-4000000000000022-200-200000000000000
χ324444-4-44-40000000000000-2-2200200000000000000
χ334444-4-4-4400000000000002-2200-200000000000000
χ344444-4-4-440000000000000-22-200200000000000000
χ354-4-44-4400000-440000004-400000000000000000000
χ364-4-44-4400000-44000000-4400000000000000000000
χ3788-8-800004-4400-4000000000000000000000000000
χ3888-8-80000-44-4004000000000000000000000000000
χ398-88-800004-4-4004000000000000000000000000000
χ408-88-80000-44400-4000000000000000000000000000
χ418-8-888-800000000000000000000000000000000000

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