Finite Group Databasebeta

← Group #8665

Character table — Group #8665

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222444422444444448888888844448888888888888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-1111-1-111-111-1-111-1-111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ101111-1-1-1-1-1-1111-1-111-111-1-111-1-111-1-1−i−iii−i−iii11-1-1−ii−ii
χ111111-1-1-1-1-1-1111-1-111-111-1-111-1-1-1-111ii−i−iii−i−i-1-111−ii−ii
χ121111-1-1-1-1-1-1111-1-111-111-1-111-1-1-1-111−i−iii−i−iii-1-111i−ii−i
χ131111-1-1-1-1-1-1111-1-111-1-1-111-1-11111-1-1ii−i−i−i−iii-1-111i−i−ii
χ141111-1-1-1-1-1-1111-1-111-1-1-111-1-11111-1-1−i−iiiii−i−i-1-111−iii−i
χ151111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111ii−i−i−i−iii11-1-1−iii−i
χ161111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111−i−iiiii−i−i11-1-1i−i−ii
χ172222222222-2-22-2-22-2-22222-2-2-2-200000000000000000000
χ182222222222-2-22-2-22-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-222-222-2-2-2000000002-22-20000000000000000
χ2022222222-2-222-222-2-2-200000000-22-220000000000000000
χ2122222222-2-2-2-2-2-2-2-222000000000000000000002i−2i2i−2i0000
χ2222222222-2-2-2-2-2-2-2-22200000000000000000000−2i2i−2i2i0000
χ232222-2-2-2-22222-2-2-2-2-22000000002-2-220000000000000000
χ242222-2-2-2-22222-2-2-2-2-2200000000-222-20000000000000000
χ252222-2-2-2-222-2-2-222-22-2000000000000000000002i−2i−2i2i0000
χ262222-2-2-2-222-2-2-222-22-200000000000000000000−2i2i2i−2i0000
χ272222-2-2-2-2-2-2-2-22222-2222-2-2-2-22200000000000000000000
χ282222-2-2-2-2-2-2-2-22222-22-2-22222-2-200000000000000000000
χ2922-2-222-2-22-200-2002002i−2i2i−2i00000000i2−i2i2−i22−22−200000000
χ3022-2-222-2-22-200-2002002i−2i2i−2i00000000−i2i2−i2i2−22−2200000000
χ3122-2-222-2-22-200-200200−2i2i−2i2i00000000i2−i2i2−i2−22−2200000000
χ3222-2-222-2-22-200-200200−2i2i−2i2i00000000−i2i2−i2i22−22−200000000
χ3322-2-2-2-222-2200-2002002i−2i−2i2i000000002−2−22−i2i2i2−i200000000
χ3422-2-2-2-222-2200-2002002i−2i−2i2i00000000−222−2i2−i2−i2i200000000
χ3522-2-2-2-222-2200-200200−2i2i2i−2i000000002−2−22i2−i2−i2i200000000
χ3622-2-2-2-222-2200-200200−2i2i2i−2i00000000−222−2−i2i2i2−i200000000
χ3744-4-444-4-4-4400400-4000000000000000000000000000000
χ3844-4-4-4-4444-400400-4000000000000000000000000000000
χ394-44-44i−4i4i−4i000000000000002i2−2i222−2200000000000000000000
χ404-44-44i−4i4i−4i00000000000000−2i22i2−222200000000000000000000
χ414-44-4−4i4i−4i4i000000000000002i2−2i2−222200000000000000000000
χ424-44-4−4i4i−4i4i00000000000000−2i22i222−2200000000000000000000
χ434-4-444i−4i−4i4i004-404i−4i0000000000000000000000000000000
χ444-4-444i−4i−4i4i00-440−4i4i0000000000000000000000000000000
χ454-4-44−4i4i4i−4i004-40−4i4i0000000000000000000000000000000
χ464-4-44−4i4i4i−4i00-4404i−4i0000000000000000000000000000000

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