Finite Group Databasebeta

← Group #8441

Character table — Group #8441

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222444444444444244444444444444444222244448888888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111-1-1-11-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111111111-11-1-1-11-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111-1-1-1-11111-1-1-1-1-111-1-111-1-11iiii−i−i−i−i11-1-1-1-111ii−i−iii−i−ii−i
χ101111-1-1-1-11111-1-1-1-1-111-1-111-1-11−i−i−i−iiiii11-1-1-1-111−i−iii−i−iii−ii
χ111111-1-1-1-11111-1-1-1-1-111-1-1-1-1111iiii−i−i−i−i1-111-11-1-1ii−i−i−i−iii−ii
χ121111-1-1-1-11111-1-1-1-1-111-1-1-1-1111−i−i−i−iiiii1-111-11-1-1−i−iiiii−i−ii−i
χ131111-1-1-1-11111-1-1-1-1-1-1-11111-1-11iiii−i−i−i−i-11111-1-1-1−i−iiiii−i−i−ii
χ141111-1-1-1-11111-1-1-1-1-1-1-11111-1-11−i−i−i−iiiii-11111-1-1-1ii−i−i−i−iiii−i
χ151111-1-1-1-11111-1-1-1-1-1-1-111-1-1111iiii−i−i−i−i-1-1-1-11111−i−iii−i−iiii−i
χ161111-1-1-1-11111-1-1-1-1-1-1-111-1-1111−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i−ii
χ172222222222-2-222-2-2-200002222-2000000000-2000-2000000000000
χ182222222222-2-222-2-2-20000-2-2-2-2-200000000020002000000000000
χ1922222222-2-222-2-222-222220000-200000000-2000-20000000000000
χ2022222222-2-222-2-222-2-2-2-2-20000-200000000200020000000000000
χ2122222222-2-2-2-2-2-2-2-2200000000200000000002-2002-20000000000
χ2222222222-2-2-2-2-2-2-2-220000000020000000000-2200-220000000000
χ232222-2-2-2-222-2-2-2-2222000022-2-2-2000000000-20002000000000000
χ242222-2-2-2-222-2-2-2-22220000-2-222-20000000002000-2000000000000
χ252222-2-2-2-2-2-22222-2-2222-2-20000-200000000-200020000000000000
χ262222-2-2-2-2-2-22222-2-22-2-2220000-2000000002000-20000000000000
χ272222-2-2-2-2-2-2-2-22222-200000000200000000002-200-220000000000
χ282222-2-2-2-2-2-2-2-22222-20000000020000000000-22002-20000000000
χ2922-2-22i−2i2i−2i002-2002i−2i02i−2i2-2000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000001−i−1+i1+i−1−i000000
χ3022-2-22i−2i2i−2i002-2002i−2i02i−2i2-200000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000−1+i1−i−1−i1+i000000
χ3122-2-22i−2i2i−2i002-2002i−2i0−2i2i-22000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000−1+i1−i−1−i1+i000000
χ3222-2-22i−2i2i−2i002-2002i−2i0−2i2i-2200000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000001−i−1+i1+i−1−i000000
χ3322-2-2−2i2i−2i2i002-200−2i2i02i−2i-22000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000−1−i1+i−1+i1−i000000
χ3422-2-2−2i2i−2i2i002-200−2i2i02i−2i-2200000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000001+i−1−i1−i−1+i000000
χ3522-2-2−2i2i−2i2i002-200−2i2i0−2i2i2-2000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000001+i−1−i1−i−1+i000000
χ3622-2-2−2i2i−2i2i002-200−2i2i0−2i2i2-200000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000−1−i1+i−1+i1−i000000
χ372-22-22i−2i−2i2i2-2002i−2i00000002i−2i2-201−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000001+i−1−i1−i−1+i00
χ382-22-22i−2i−2i2i2-2002i−2i00000002i−2i2-20−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000−1−i1+i−1+i1−i00
χ392-22-22i−2i−2i2i2-2002i−2i0000000−2i2i-2201−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000−1−i1+i−1+i1−i00
χ402-22-22i−2i−2i2i2-2002i−2i0000000−2i2i-220−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000001+i−1−i1−i−1+i00
χ412-22-2−2i2i2i−2i2-200−2i2i00000002i−2i-2201+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000−1+i1−i−1−i1+i00
χ422-22-2−2i2i2i−2i2-200−2i2i00000002i−2i-220−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000001−i−1+i1+i−1−i00
χ432-22-2−2i2i2i−2i2-200−2i2i0000000−2i2i2-201+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000001−i−1+i1+i−1−i00
χ442-22-2−2i2i2i−2i2-200−2i2i0000000−2i2i2-20−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000−1+i1−i−1−i1+i00
χ4544-4-44i−4i4i−4i00-4400−4i4i000000000000000000000000000000000000
χ4644-4-4−4i4i−4i4i00-44004i−4i000000000000000000000000000000000000
χ474-44-44i−4i−4i4i-4400−4i4i00000000000000000000000000000000000000
χ484-44-4−4i4i4i−4i-44004i−4i00000000000000000000000000000000000000
χ494-4-4444-4-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ504-4-4444-4-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ514-4-44-4-4440000000000000000002-2-222-2-22000000000000000000
χ524-4-44-4-444000000000000000000-222-2-222-2000000000000000000

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