Finite Group Databasebeta

← Group #152657

Character table — Group #152657

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444244444422244488888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-111-1111-1-1-1-11-11111iiii−i−i−i−i-1-1ii−i−i
χ611111111-1-1-111-1111-1-1-1-11-11111−i−i−i−iiiii-1-1−i−iii
χ711111111-1-1-111-1111-1-1-1-11-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111-1-1-111-1111-1-1-1-11-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1111111-111-1-111-1-11-1-1111-1-111-1-11-11-11-1
χ10111111-1-1111111-111-1-111-1-11-1-11-1-111-1-1111-1-11-11
χ11111111-1-1111111-111-1-111-1-1-111-111-1-111-1-1-11-11-11
χ12111111-1-1111111-111-1-111-1-1-111-1-1-111-1-111-111-11-1
χ13111111-1-1-1-1-111-1-11111-1-1-111-1-11ii−i−i−i−iii-11i−i−ii
χ14111111-1-1-1-1-111-1-11111-1-1-111-1-11−i−iiiii−i−i-11−iii−i
χ15111111-1-1-1-1-111-1-11111-1-1-11-111-1ii−i−i−i−iii1-1−iii−i
χ16111111-1-1-1-1-111-1-11111-1-1-11-111-1−i−iiiii−i−i1-1i−i−ii
χ17222222222222222-2-222-2-2-2-2000000000000000000
χ1822222222-2-2-222-22-2-2-2-222-22000000000000000000
χ19222222-2-2222222-2-2-2-2-2-2-222000000000000000000
χ20222222-2-2-2-2-222-2-2-2-222222-2000000000000000000
χ212-2-22-220022-22-2-202-2002-2000000002i−2i002i−2i000000
χ222-2-22-220022-22-2-202-2002-200000000−2i2i00−2i2i000000
χ232-2-22-220022-22-2-20-2200-220000002i−2i002i−2i00000000
χ242-2-22-220022-22-2-20-2200-22000000−2i2i00−2i2i00000000
χ252-2-22-2200-2-222-2202-200-22000000002-200-22000000
χ262-2-22-2200-2-222-2202-200-2200000000-22002-2000000
χ272-2-22-2200-2-222-220-22002-20000002-200-2200000000
χ282-2-22-2200-2-222-220-22002-2000000-22002-200000000
χ2944444444000-4-40-400000000000000000000000000
χ30444444-4-4000-4-40400000000000000000000000000
χ314444-4-44-400000000000000022-2-200000000000000
χ324444-4-44-4000000000000000-2-22200000000000000
χ334444-4-4-440000000000000002-22-200000000000000
χ344444-4-4-44000000000000000-22-2200000000000000
χ354-4-44-4400000-4400004-40000000000000000000000
χ364-4-44-4400000-440000-440000000000000000000000
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).