Finite Group Databasebeta

← Group #9689

Character table — Group #9689

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444488888888888888882244
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
χ51111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i11-1-1
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-111
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-111
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iii11-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-2-2-22222-2-222-2-2-2-200000000000000000000
χ182222222222-2-2-2-222-2-222-2-222-2-200000000000000000000
χ1922222222-2-22222-2-222-2-2-2-222-2-200000000000000000000
χ2022222222-2-22222-2-2-2-22222-2-2-2-200000000000000000000
χ212222-2-2-2-2002i2i−2i−2i00002-22i−2i0000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ222222-2-2-2-2002i2i−2i−2i00002-22i−2i000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ232222-2-2-2-2002i2i−2i−2i0000-22−2i2i0000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000
χ242222-2-2-2-2002i2i−2i−2i0000-22−2i2i000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000
χ252222-2-2-2-200−2i−2i2i2i00002-2−2i2i0000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ262222-2-2-2-200−2i−2i2i2i00002-2−2i2i000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ272222-2-2-2-200−2i−2i2i2i0000-222i−2i0000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000
χ282222-2-2-2-200−2i−2i2i2i0000-222i−2i000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000
χ2922-2-22-2-22222-22-2-2-2000000002-200002i−2i2i−2i000000000000
χ3022-2-22-2-22222-22-2-2-2000000002-20000−2i2i−2i2i000000000000
χ3122-2-22-2-2222-22-22-2-200000000-222i−2i2i−2i0000000000000000
χ3222-2-22-2-2222-22-22-2-200000000-22−2i2i−2i2i0000000000000000
χ3322-2-22-2-22-2-22-22-22200000000-222-2-220000000000000000
χ3422-2-22-2-22-2-22-22-22200000000-22-222-20000000000000000
χ3522-2-22-2-22-2-2-22-2222000000002-200002-2-22000000000000
χ3622-2-22-2-22-2-2-22-2222000000002-20000-222-2000000000000
χ3744-4-4-444-4004i−4i−4i4i00000000000000000000000000000000
χ3844-4-4-444-400−4i4i4i−4i00000000000000000000000000000000
χ394-44-444-4-44i−4i00004i−4i000000000000000000000000000000
χ404-44-444-4-4−4i4i0000−4i4i000000000000000000000000000000
χ414-44-4-4-444000000000000004-40000000000000000000000
χ424-44-4-4-44400000000000000-440000000000000000000000
χ434-4-444-44-44i−4i0000−4i4i000000000000000000000000000000
χ444-4-444-44-4−4i4i00004i−4i000000000000000000000000000000
χ454-4-44-44-44000000004-40000000000000000000000000000
χ464-4-44-44-4400000000-440000000000000000000000000000

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