Finite Group Databasebeta

← Group #13985

Character table — Group #13985

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111111111111111222222222222222244444444444444444444444444444444444488888888
order1222222222222222444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ17111-1-1-1111-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i1-11-1i−ii−i
χ18111-1-1-1111-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i11-1-1-1-111−i−iii-1-111ii−i−i−i−iii-11-11−ii−ii
χ19111-1-1-1111-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii-1-11111-1-1ii−i−i11-1-1ii−i−iii−i−i-11-11−ii−ii
χ20111-1-1-1111-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii-1-111-1-111−i−iii-1-111ii−i−i−i−iii1-11-1i−ii−i
χ21111-1-1-1111-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i11-1-1−i−iii-1-11111-1-1ii−i−i-1-111−i−iii−i−iii1-1-11i−i−ii
χ22111-1-1-1111-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i11-1-1−i−iii-1-111-1-111−i−iii11-1-1−i−iiiii−i−i-111-1−iii−i
χ23111-1-1-1111-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i11-1-111-1-1ii−i−i-1-111−i−iii−i−iii-111-1−iii−i
χ24111-1-1-1111-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i11-1-1-1-111−i−iii11-1-1−i−iiiii−i−i1-1-11i−i−ii
χ25111-1-1-1111-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i-1-11111-1-1−i−iii11-1-1−i−iii−i−iii-11-11i−ii−i
χ26111-1-1-1111-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i-1-111-1-111ii−i−i-1-111−i−iiiii−i−i1-11-1−ii−ii
χ27111-1-1-1111-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii1-11-1−ii−ii
χ28111-1-1-1111-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii11-1-1-1-111ii−i−i-1-111−i−iiiii−i−i-11-11i−ii−i
χ29111-1-1-1111-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iii11-1-111-1-1−i−iii-1-111ii−i−iii−i−i-111-1i−i−ii
χ30111-1-1-1111-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iii11-1-1-1-111ii−i−i11-1-1ii−i−i−i−iii1-1-11−iii−i
χ31111-1-1-1111-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111−i−iii11-1-1ii−i−i-1-11111-1-1−i−iii-1-111ii−i−iii−i−i1-1-11−iii−i
χ32111-1-1-1111-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111−i−iii11-1-1ii−i−i-1-111-1-111ii−i−i11-1-1ii−i−i−i−iii-111-1i−i−ii
χ3322222-22-2-222-2-2-2-2-222-2-222-2-2000000002-22-22-22-2000000000000000000000000000000000000
χ3422222-22-2-222-2-2-2-2-222-2-222-2-200000000-22-22-22-22000000000000000000000000000000000000
χ3522222-22-2-222-2-2-2-2-2-2-222-2-222000000002-22-2-22-22000000000000000000000000000000000000
χ3622222-22-2-222-2-2-2-2-2-2-222-2-22200000000-22-222-22-2000000000000000000000000000000000000
χ37222-2-222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i2-2-22000000000000000000000000000000000000
χ38222-2-222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i-222-2000000000000000000000000000000000000
χ39222-2-222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i-222-2000000000000000000000000000000000000
χ40222-2-222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i2-2-22000000000000000000000000000000000000
χ4122-222-2-22-2-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i00000000000000002-22-200002i−2i2i−2i0000000000000000
χ4222-222-2-22-2-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000-22-220000−2i2i−2i2i0000000000000000
χ4322-222-2-22-2-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000002-22-20000−2i2i−2i2i0000000000000000
χ4422-222-2-22-2-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000-22-2200002i−2i2i−2i0000000000000000
χ4522-2-2-22-22-222-22-22-2000000002i2i−2i−2i−2i−2i2i2i00000000000000002-2-2200002i−2i−2i2i0000000000000000
χ4622-2-2-22-22-222-22-22-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000-222-20000−2i2i2i−2i0000000000000000
χ4722-2-2-22-22-222-22-22-200000000−2i−2i2i2i2i2i−2i−2i00000000000000002-2-220000−2i2i2i−2i0000000000000000
χ4822-2-2-22-22-222-22-22-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000-222-200002i−2i−2i2i0000000000000000
χ492-222-22-22-22-2-2-22-222-22-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ502-222-22-22-22-2-2-22-222-22-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ512-222-22-22-22-2-2-22-22-22-22-22-2200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ522-222-22-22-22-2-2-22-22-22-22-22-220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ532-222-2-2-2-222-222-22-22-2-222-2-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000002i−2i2i−2i000000000000
χ542-222-2-2-2-222-222-22-22-2-222-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i000000000000
χ552-222-2-2-2-222-222-22-2-222-2-222-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−2i2i−2i2i000000000000
χ562-222-2-2-2-222-222-22-2-222-2-222-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002i−2i2i−2i000000000000
χ572-22-222-2-22-22-22-2-222i−2i−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000-222-2000000000000
χ582-22-222-2-22-22-22-2-222i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000002-2-22000000000000
χ592-22-222-2-22-22-22-2-22−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000002-2-22000000000000
χ602-22-222-2-22-22-22-2-22−2i2i2i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000-222-2000000000000
χ612-22-22-2-22-2-222-222-22i−2i2i−2i−2i2i−2i2i00000000000000002-2-22−2i2i2i−2i0000000000000000000000000000
χ622-22-22-2-22-2-222-222-22i−2i2i−2i−2i2i−2i2i0000000000000000-222-22i−2i−2i2i0000000000000000000000000000
χ632-22-22-2-22-2-222-222-2−2i2i−2i2i2i−2i2i−2i00000000000000002-2-222i−2i−2i2i0000000000000000000000000000
χ642-22-22-2-22-2-222-222-2−2i2i−2i2i2i−2i2i−2i0000000000000000-222-2−2i2i2i−2i0000000000000000000000000000
χ652-2-22-222-2-2-22222-2-2000000002-2-222-2-22000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000
χ662-2-22-222-2-2-22222-2-2000000002-2-222-2-2200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000
χ672-2-22-222-2-2-22222-2-200000000-222-2-222-2000000000000000000002i−2i2i−2i00000000−2i2i−2i2i00000000
χ682-2-22-222-2-2-22222-2-200000000-222-2-222-200000000000000000000−2i2i−2i2i000000002i−2i2i−2i00000000
χ692-2-2-22-22-2-22-2-22222000000002-2-22-222-2000000000000000000002-2-22000000002-2-2200000000
χ702-2-2-22-22-2-22-2-22222000000002-2-22-222-200000000000000000000-222-200000000-222-200000000
χ712-2-2-22-22-2-22-2-2222200000000-222-22-2-22000000000000000000002-2-2200000000-222-200000000
χ722-2-2-22-22-2-22-2-2222200000000-222-22-2-2200000000000000000000-222-2000000002-2-2200000000
χ7344-4444-4-44-4-4-4-444-4000000000000000000000000000000000000000000000000000000000000
χ7444-4-4-4-4-4-44444-44-44000000000000000000000000000000000000000000000000000000000000
χ754-4-44-4-4444-44-4-4-444000000000000000000000000000000000000000000000000000000000000
χ764-4-4-4444444-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000

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