Finite Group Databasebeta

← Group #8924

Character table — Group #8924

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888222244448888888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91111-1-1-1-111-1-1-1-1111ii−i−iii−i−i-1iiii−i−i−i−i11-1-1i−ii−i11-1-111-1-1i−i
χ101111-1-1-1-111-1-1-1-1111ii−i−iii−i−i-1−i−i−i−iiiii11-1-1i−ii−i-1-111-1-111−ii
χ111111-1-1-1-111-1-1-1-1111ii−i−i−i−iii-1iiii−i−i−i−i-1-111i−i−ii11-1-1-1-111−ii
χ121111-1-1-1-111-1-1-1-1111ii−i−i−i−iii-1−i−i−i−iiiii-1-111i−i−ii-1-11111-1-1i−i
χ131111-1-1-1-111-1-1-1-1111−i−iiiii−i−i-1iiii−i−i−i−i-1-111−iii−i-1-11111-1-1−ii
χ141111-1-1-1-111-1-1-1-1111−i−iiiii−i−i-1−i−i−i−iiiii-1-111−iii−i11-1-1-1-111i−i
χ151111-1-1-1-111-1-1-1-1111−i−iii−i−iii-1iiii−i−i−i−i11-1-1−ii−ii-1-111-1-111i−i
χ161111-1-1-1-111-1-1-1-1111−i−iii−i−iii-1−i−i−i−iiiii11-1-1−ii−ii11-1-111-1-1−ii
χ17222222222-222-2-22-2-200002222-200000000000000-2-20000000000
χ18222222222-222-2-22-2-20000-2-2-2-2-200000000000000220000000000
χ1922222222-22-2-222-22-222220000-2000000000000-2-2000000000000
χ2022222222-22-2-222-22-2-2-2-2-20000-200000000000022000000000000
χ2122222222-2-2-2-2-2-2-2-22000000002000000002-22-200000000000000
χ2222222222-2-2-2-2-2-2-2-2200000000200000000-22-2200000000000000
χ232222-2-2-2-22-2-2-2222-2-200002i2i−2i−2i200000000000000−2i2i0000000000
χ242222-2-2-2-22-2-2-2222-2-20000−2i−2i2i2i2000000000000002i−2i0000000000
χ252222-2-2-2-2-2222-2-2-22-22i2i−2i−2i00002000000000000−2i2i000000000000
χ262222-2-2-2-2-2222-2-2-22-2−2i−2i2i2i000020000000000002i−2i000000000000
χ272222-2-2-2-2-2-22222-2-2200000000-2000000002-2-2200000000000000
χ282222-2-2-2-2-2-22222-2-2200000000-200000000-222-200000000000000
χ2922-2-22-22-202002-20-202-22-200000i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2000000
χ3022-2-22-22-202002-20-202-22-200000−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2000000
χ3122-2-22-22-202002-20-20-22-2200000i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2000000
χ3222-2-22-22-202002-20-20-22-2200000−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2000000
χ3322-2-2-22-220200-220-202i−2i−2i2i0000022−2−2−2−22200000000−i2i2i2−i2000000
χ3422-2-2-22-220200-220-202i−2i−2i2i00000−2−22222−2−200000000i2−i2−i2i2000000
χ3522-2-2-22-220200-220-20−2i2i2i−2i0000022−2−2−2−22200000000i2−i2−i2i2000000
χ3622-2-2-22-220200-220-20−2i2i2i−2i00000−2−22222−2−200000000−i2i2i2−i2000000
χ372-22-22-2-22202-200-20000002i−2i2i−2i02−22−22−22−2000000000000i2−i2i2−i200
χ382-22-22-2-22202-200-20000002i−2i2i−2i0−22−22−22−22000000000000−i2i2−i2i200
χ392-22-22-2-22202-200-2000000−2i2i−2i2i02−22−22−22−2000000000000−i2i2−i2i200
χ402-22-22-2-22202-200-2000000−2i2i−2i2i0−22−22−22−22000000000000i2−i2i2−i200
χ412-22-2-222-220-2200-20000002-2-220i2−i2i2−i2−i2i2−i2i2000000000000−i2i2i2−i200
χ422-22-2-222-220-2200-20000002-2-220−i2i2−i2i2i2−i2i2−i2000000000000i2−i2−i2i200
χ432-22-2-222-220-2200-2000000-222-20i2−i2i2−i2−i2i2−i2i2000000000000i2−i2−i2i200
χ442-22-2-222-220-2200-2000000-222-20−i2i2−i2i2i2−i2i2−i2000000000000−i2i2i2−i200
χ4544-4-44-44-40-400-4404000000000000000000000000000000000000
χ4644-4-4-44-440-4004-404000000000000000000000000000000000000
χ474-44-44-4-44-40-440040000000000000000000000000000000000000
χ484-44-4-444-4-404-40040000000000000000000000000000000000000
χ494-4-4444-4-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ504-4-4444-4-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ514-4-44-4-4440000000000000000002-2-22-222-2000000000000000000
χ524-4-44-4-444000000000000000000-222-22-2-22000000000000000000

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