Finite Group Databasebeta

← Group #8697

Character table — Group #8697

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222224444444488884488888824444444444488888888
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
χ511111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-111-1-111-1-111111-111-1-1-1-111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ101111-1-111-1-111-1-111111-111-1-1-1-111-1-1−i−iii−i−iii11-1-1−ii−ii
χ111111-1-111-1-111-1-111111-111-1-1-1-1-1-111ii−i−iii−i−i-1-111−ii−ii
χ121111-1-111-1-111-1-111111-111-1-1-1-1-1-111−i−iii−i−iii-1-111i−ii−i
χ131111-1-111-1-111-1-1-1-1-1-11-1-1-1111111-1-1ii−i−i−i−iii-1-111i−i−ii
χ141111-1-111-1-111-1-1-1-1-1-11-1-1-1111111-1-1−i−iiiii−i−i-1-111−iii−i
χ151111-1-111-1-111-1-1-1-1-1-11-1-1-11111-1-111ii−i−i−i−iii11-1-1−iii−i
χ161111-1-111-1-111-1-1-1-1-1-11-1-1-11111-1-111−i−iiiii−i−i11-1-1i−i−ii
χ172222222222-2-2-2-20000-2-20000000000000000002i−2i2i−2i0000
χ182222222222-2-2-2-20000-2-2000000000000000000−2i2i−2i2i0000
χ19222222-2-2-2-222-2-22222-22-2-222-2-200000000000000000000
χ20222222-2-2-2-222-2-2-2-2-2-2-2222-2-22200000000000000000000
χ21222222-2-2-2-2-2-22200002-20000002-22-20000000000000000
χ22222222-2-2-2-2-2-22200002-2000000-22-220000000000000000
χ232222-2-222-2-2-2-2220000-220000000000000000002i−2i−2i2i0000
χ242222-2-222-2-2-2-2220000-22000000000000000000−2i2i2i−2i0000
χ252222-2-2-2-22222222222-2-2-2-2-2-22200000000000000000000
χ262222-2-2-2-2222222-2-2-2-2-2-22222-2-200000000000000000000
χ272222-2-2-2-222-2-2-2-20000220000002-2-220000000000000000
χ282222-2-2-2-222-2-2-2-2000022000000-222-20000000000000000
χ2922-2-200002i−2i2-22i−2i2i2i−2i−2i0000002-200001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ3022-2-200002i−2i2-22i−2i2i2i−2i−2i0000002-20000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ3122-2-200002i−2i2-22i−2i−2i−2i2i2i000000-2200001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ3222-2-200002i−2i2-22i−2i−2i−2i2i2i000000-220000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ3322-2-20000−2i2i2-2−2i2i2i2i−2i−2i000000-2200001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ3422-2-20000−2i2i2-2−2i2i2i2i−2i−2i000000-220000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ3522-2-20000−2i2i2-2−2i2i−2i−2i2i2i0000002-200001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ3622-2-20000−2i2i2-2−2i2i−2i−2i2i2i0000002-20000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ3744-4-400004i−4i-44−4i4i00000000000000000000000000000000
χ3844-4-40000−4i4i-444i−4i00000000000000000000000000000000
χ394-44-4004i−4i0000002i2−2i22i2−2i20022−22000000000000000000000000
χ404-44-4004i−4i000000−2i22i2−2i22i200−2222000000000000000000000000
χ414-44-400−4i4i0000002i2−2i22i2−2i200−2222000000000000000000000000
χ424-44-400−4i4i000000−2i22i2−2i22i20022−22000000000000000000000000
χ434-4-444-40000000022−22−2222000022−220000000000000000000000
χ444-4-444-400000000−222222−220000−22220000000000000000000000
χ454-4-44-440000000022−22−22220000−22220000000000000000000000
χ464-4-44-4400000000−222222−22000022−220000000000000000000000

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