Finite Group Databasebeta

← Group #8690

Character table — Group #8690

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222444444444488882488888824448888888888888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-111-1-1-1-11111-1111-1-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-111-1-1-1-11111-1111-1-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii
χ11111111-1-111-1-1-1-11111-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ12111111-1-111-1-1-1-11111-1111-1-1-1-1-1-111-1-111−i−iii−i−iiii−ii−i
χ13111111-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111−i−iiiii−i−i−iii−i
χ15111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1−i−iiiii−i−ii−i−ii
χ1722222222-2-222-2-20000-2-200000000002i−2i2i−2i000000000000
χ1822222222-2-222-2-20000-2-20000000000−2i2i−2i2i000000000000
χ19222222-2-2-2-2-2-22200002-200000000002i−2i−2i2i000000000000
χ20222222-2-2-2-2-2-22200002-20000000000−2i2i2i−2i000000000000
χ212222-2-22222-2-2222222-2-2-2-222-2-200000000000000000000
χ222222-2-22222-2-222-2-2-2-2-2-222-2-22200000000000000000000
χ232222-2-222-2-2-2-2-2-20000220000002-22-20000000000000000
χ242222-2-222-2-2-2-2-2-2000022000000-22-220000000000000000
χ252222-2-2-2-22222-2-222222-2-2-2-2-22200000000000000000000
χ262222-2-2-2-22222-2-2-2-2-2-22-22222-2-200000000000000000000
χ272222-2-2-2-2-2-222220000-220000002-2-220000000000000000
χ282222-2-2-2-2-2-222220000-22000000-222-20000000000000000
χ2922-2-2002i−2i2-2002i−2i22-2-200002i−2i00000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ3022-2-2002i−2i2-2002i−2i22-2-200002i−2i0000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ3122-2-2002i−2i2-2002i−2i-2-2220000−2i2i00000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000
χ3222-2-2002i−2i2-2002i−2i-2-2220000−2i2i0000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000
χ3322-2-200−2i2i2-200−2i2i22-2-20000−2i2i00000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ3422-2-200−2i2i2-200−2i2i22-2-20000−2i2i0000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ3522-2-200−2i2i2-200−2i2i-2-22200002i−2i00000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000
χ3622-2-200−2i2i2-200−2i2i-2-22200002i−2i0000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000
χ3744-4-4004i−4i-4400−4i4i00000000000000000000000000000000
χ3844-4-400−4i4i-44004i−4i00000000000000000000000000000000
χ394-44-40000004i−4i002i2−2i22i2−2i200000022−2200000000000000000000
χ404-44-40000004i−4i00−2i22i2−2i22i2000000−222200000000000000000000
χ414-44-4000000−4i4i002i2−2i22i2−2i2000000−222200000000000000000000
χ424-44-4000000−4i4i00−2i22i2−2i22i200000022−2200000000000000000000
χ434-4-444i−4i000000002i2−2i2−2i22i20022−22000000000000000000000000
χ444-4-444i−4i00000000−2i22i22i2−2i200−2222000000000000000000000000
χ454-4-44−4i4i000000002i2−2i2−2i22i200−2222000000000000000000000000
χ464-4-44−4i4i00000000−2i22i22i2−2i20022−22000000000000000000000000

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