Finite Group Databasebeta

← Group #114713

Character table — Group #114713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222222444444222224444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111-1-1-1-1-1-1-1-111111-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1ii−i−iii−i−i11-1-1ii−i−i
χ101111-1-1-1-1-1-1-1-111111-1-1111-1-1iiii−i−i−i−i1-1-1-11-111−i−iii−i−iii-1-111ii−i−i
χ111111-1-1-1-1-1-1-1-111111-1-1111-1-1iiii−i−i−i−i-1111-11-1-1−i−iiiii−i−i-1-111−i−iii
χ121111-1-1-1-1-1-1-1-111111-1-1111-1-1iiii−i−i−i−i-11-1-1-1111ii−i−i−i−iii11-1-1−i−iii
χ131111-1-1-1-1-1-1-1-111111-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1−i−iii−i−iii11-1-1−i−iii
χ141111-1-1-1-1-1-1-1-111111-1-1111-1-1−i−i−i−iiiii1-1-1-11-111ii−i−iii−i−i-1-111−i−iii
χ151111-1-1-1-1-1-1-1-111111-1-1111-1-1−i−i−i−iiiii-1111-11-1-1ii−i−i−i−iii-1-111ii−i−i
χ161111-1-1-1-1-1-1-1-111111-1-1111-1-1−i−i−i−iiiii-11-1-1-1111−i−iiiii−i−i11-1-1ii−i−i
χ17222222222222222-2-2-2-22-2-2-2-20000000000000000000000002-22-20000
χ18222222222222222-2-2-2-22-2-2-2-2000000000000000000000000-22-220000
χ1922222222-2-2-2-2-2-222222-2-2-2-2-2000000000000000000002-22-200000000
χ2022222222-2-2-2-2-2-222222-2-2-2-2-200000000000000000000-22-2200000000
χ2122222222-2-2-2-2-2-22-2-2-2-2-2222200000000000000000000000000002-22-2
χ2222222222-2-2-2-2-2-22-2-2-2-2-222220000000000000000000000000000-22-22
χ2322222-2-2222-2-222-22-22-2-22-2-22000000002200-2-2000000000000000000
χ2422222-2-2222-2-222-22-22-2-22-2-2200000000-2-20022000000000000000000
χ2522222-2-2222-2-222-2-22-22-2-222-200000000002-2002-20000000000000000
χ2622222-2-2222-2-222-2-22-22-2-222-20000000000-2200-220000000000000000
χ2722222-2-22-2-222-2-2-22-22-22-222-200000000000000002i−2i2i−2i000000000000
χ2822222-2-22-2-222-2-2-22-22-22-222-20000000000000000−2i2i−2i2i000000000000
χ2922222-2-22-2-222-2-2-2-22-2222-2-2222-2-222-2-2000000000000000000000000
χ3022222-2-22-2-222-2-2-2-22-2222-2-22-2-222-2-222000000000000000000000000
χ312222-222-222-2-2-2-2-22-2-222-22-2200000000000000002-2-22000000000000
χ322222-222-222-2-2-2-2-22-2-222-22-220000000000000000-222-2000000000000
χ332222-222-222-2-2-2-2-2-222-222-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ342222-222-222-2-2-2-2-2-222-222-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ352222-222-2-2-22222-22-2-22-22-22-2000000002-200-22000000000000000000
χ362222-222-2-2-22222-22-2-22-22-22-200000000-22002-2000000000000000000
χ372222-222-2-2-22222-2-222-2-2-22-2200000000002-200-220000000000000000
χ382222-222-2-2-22222-2-222-2-2-22-220000000000-22002-20000000000000000
χ392222-2-2-2-22222-2-2222-2-2-2-2-222000000000000000000002i−2i−2i2i00000000
χ402222-2-2-2-22222-2-2222-2-2-2-2-22200000000000000000000−2i2i2i−2i00000000
χ412222-2-2-2-22222-2-22-2-222-222-2-200000000000000000000000000002i−2i−2i2i
χ422222-2-2-2-22222-2-22-2-222-222-2-20000000000000000000000000000−2i2i2i−2i
χ432222-2-2-2-2-2-2-2-2222-2-2222-2-2220000000000000000000000002-2-220000
χ442222-2-2-2-2-2-2-2-2222-2-2222-2-222000000000000000000000000-222-20000
χ454-44-4400-44-4004-400000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ464-44-4400-44-4004-40000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ474-44-4400-4-4400-4400000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ484-44-4400-4-4400-440000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ494-44-4-40044-400-4400000000002-2-22-222-2000000000000000000000000
χ504-44-4-40044-400-440000000000-222-22-2-22000000000000000000000000
χ514-44-4-4004-44004-400000000002-22-2-22-22000000000000000000000000
χ524-44-4-4004-44004-40000000000-22-222-22-2000000000000000000000000
χ5388-8-80000008i−8i00000000000000000000000000000000000000000000
χ5488-8-8000000−8i8i00000000000000000000000000000000000000000000
χ558-8-8808-80000000000000000000000000000000000000000000000000
χ568-8-880-880000000000000000000000000000000000000000000000000

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