Finite Group Databasebeta

← Group #8908

Character table — Group #8908

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222444422444444224444888888888888248888888888888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-11-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-11-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-1-1-1-1-1111-1-1111-1-1-11ii−i−i1111-1-1-1-1-11i−iii−i−iii−i−i11-1-1i−i
χ101111-1-1-1-1-1-1111-1-1111-1-1-11ii−i−i-1-1-1-11111-11i−iii−i−i−i−iii-1-111−ii
χ111111-1-1-1-1-1-1111-1-1111-1-1-11−i−iii1111-1-1-1-1-11−ii−i−iii−i−iii11-1-1−ii
χ121111-1-1-1-1-1-1111-1-1111-1-1-11−i−iii-1-1-1-11111-11−ii−i−iiiii−i−i-1-111i−i
χ131111-1-1-1-1-1-1111-1-11-1-1-1111ii−i−i1111-1-1-1-11-1i−i−i−iiiii−i−i-1-111−ii
χ141111-1-1-1-1-1-1111-1-11-1-1-1111ii−i−i-1-1-1-111111-1i−i−i−iii−i−iii11-1-1i−i
χ151111-1-1-1-1-1-1111-1-11-1-1-1111−i−iii1111-1-1-1-11-1−iiii−i−i−i−iii-1-111i−i
χ161111-1-1-1-1-1-1111-1-11-1-1-1111−i−iii-1-1-1-111111-1−iiii−i−iii−i−i11-1-1−ii
χ172222222222-2-22-2-2200-200-222220000000000-2-200000000000000
χ182222222222-2-22-2-2200-200-2-2-2-2-200000000002200000000000000
χ1922222222-2-222-222-222-222-2000000000000-2-20000000000000000
χ2022222222-2-222-222-2-2-2-2-2-2-2000000000000220000000000000000
χ2122222222-2-2-2-2-2-2-2-200200200000000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-20020020000000000000000-22-220000000000
χ232222-2-2-2-22222-2-2-2-2222-2-2-20000000000002-20000000000000000
χ242222-2-2-2-22222-2-2-2-2-2-2222-2000000000000-220000000000000000
χ252222-2-2-2-222-2-2-222-200-200200000000000000002i−2i−2i2i0000000000
χ262222-2-2-2-222-2-2-222-200-20020000000000000000−2i2i2i−2i0000000000
χ272222-2-2-2-2-2-2-2-2222200200-22i2i−2i−2i0000000000−2i2i00000000000000
χ282222-2-2-2-2-2-2-2-2222200200-2−2i−2i2i2i00000000002i−2i00000000000000
χ2922-2-22i2i−2i−2i002-202i−2i02-202i−2i00000i2i2−i2−i222−2−2000000000000i2−i22−200
χ3022-2-22i2i−2i−2i002-202i−2i02-202i−2i00000−i2−i2i2i2−2−222000000000000−i2i2−2200
χ3122-2-22i2i−2i−2i002-202i−2i0-220−2i2i00000i2i2−i2−i222−2−2000000000000−i2i2−2200
χ3222-2-22i2i−2i−2i002-202i−2i0-220−2i2i00000−i2−i2i2i2−2−222000000000000i2−i22−200
χ3322-2-2−2i−2i2i2i002-20−2i2i02-20−2i2i00000i2i2−i2−i2−2−222000000000000i2−i2−2200
χ3422-2-2−2i−2i2i2i002-20−2i2i02-20−2i2i00000−i2−i2i2i222−2−2000000000000−i2i22−200
χ3522-2-2−2i−2i2i2i002-20−2i2i0-2202i−2i00000i2i2−i2−i2−2−222000000000000−i2i22−200
χ3622-2-2−2i−2i2i2i002-20−2i2i0-2202i−2i00000−i2−i2i2i222−2−2000000000000i2−i2−2200
χ372-2-222-22-22-200200-20000002-22-2i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2000000
χ382-2-222-22-22-200200-20000002-22-2−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2000000
χ392-2-222-22-22-200200-2000000-22-22i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i2000000
χ402-2-222-22-22-200200-2000000-22-22−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i2000000
χ412-2-22-22-22-2200200-20000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i200000000−222−2000000
χ422-2-22-22-22-2200200-20000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i2000000002−2−22000000
χ432-2-22-22-22-2200200-2000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2000000002−2−22000000
χ442-2-22-22-22-2200200-2000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i200000000−222−2000000
χ4544-4-44i4i−4i−4i00-440−4i4i0000000000000000000000000000000000000
χ4644-4-4−4i−4i4i4i00-4404i−4i0000000000000000000000000000000000000
χ474-44-44i−4i−4i4i0000000000000000002-2-22−2i2i2i−2i000000000000000000
χ484-44-44i−4i−4i4i000000000000000000-222-22i−2i−2i2i000000000000000000
χ494-44-4−4i4i4i−4i0000000000000000002-2-222i−2i−2i2i000000000000000000
χ504-44-4−4i4i4i−4i000000000000000000-222-2−2i2i2i−2i000000000000000000
χ514-4-444-44-4-4400-4004000000000000000000000000000000000000
χ524-4-44-44-444-400-4004000000000000000000000000000000000000

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