Finite Group Databasebeta

← Group #9682

Character table — Group #9682

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222222224444444444444444444444888888882444
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
χ51111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iii1-11-1
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
χ17222222222222-2-2-2-222-2-222-2-2-2-200000000000000000000
χ18222222222222-2-2-2-2-2-222-2-222-2-200000000000000000000
χ1922222222-2-2-2-2222222-2-2-2-222-2-200000000000000000000
χ2022222222-2-2-2-22222-2-22222-2-2-2-200000000000000000000
χ2122-222-2-2-200002i2i−2i−2i002-22i−2i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000
χ2222-222-2-2-200002i2i−2i−2i002-22i−2i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000
χ2322-222-2-2-200002i2i−2i−2i00-22−2i2i00001+i−1−i1−i−1+i−1−i1+i−1+i1−i000000000000
χ2422-222-2-2-200002i2i−2i−2i00-22−2i2i0000−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000000000
χ2522-222-2-2-20000−2i−2i2i2i002-2−2i2i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000000000
χ2622-222-2-2-20000−2i−2i2i2i002-2−2i2i0000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000
χ2722-222-2-2-20000−2i−2i2i2i00-222i−2i00001−i−1+i1+i−1−i−1+i1−i−1−i1+i000000000000
χ2822-222-2-2-20000−2i−2i2i2i00-222i−2i0000−1+i1−i−1−i1+i1−i−1+i1+i−1−i000000000000
χ292-2-22-22-2222-2-22-22-2000000002-20000000000002i−2i2i−2i0000
χ302-2-22-22-2222-2-22-22-2000000002-2000000000000−2i2i−2i2i0000
χ312-2-22-22-2222-2-2-22-2200000000-22000000002i−2i2i−2i00000000
χ322-2-22-22-2222-2-2-22-2200000000-2200000000−2i2i−2i2i00000000
χ332-2-22-22-22-2-2222-22-200000000-22000000002-2-2200000000
χ342-2-22-22-22-2-2222-22-200000000-2200000000-222-200000000
χ352-2-22-22-22-2-222-22-22000000002-20000000000002-2-220000
χ362-2-22-22-22-2-222-22-22000000002-2000000000000-222-20000
χ37444-4-4-4-44000000004i−4i0000000000000000000000000000
χ38444-4-4-4-4400000000−4i4i0000000000000000000000000000
χ3944-4-4-444-44-44-40000000000000000000000000000000000
χ4044-4-4-444-4-44-440000000000000000000000000000000000
χ414-444-4-44-400004i−4i−4i4i000000000000000000000000000000
χ424-444-4-44-40000−4i4i4i−4i000000000000000000000000000000
χ434-44-444-4-44-4-440000000000000000000000000000000000
χ444-44-444-4-4-444-40000000000000000000000000000000000
χ454-4-4-44-444000000000000004-40000000000000000000000
χ464-4-4-44-44400000000000000-440000000000000000000000

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