Finite Group Databasebeta

← Group #9690

Character table — Group #9690

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444488888888888888884444
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
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-2-2-222-2-222-2-222-2-200000000000000000000
χ182222222222-2-2-2-222-2-2-2-222-2-22200000000000000000000
χ1922222222-2-22222-2-2-2-222-2-2-2-22200000000000000000000
χ2022222222-2-22222-2-2-2-2-2-22222-2-200000000000000000000
χ21222-2-2-22-2002i2i−2i−2i0000002i−2i2-200000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ22222-2-2-22-2002i2i−2i−2i0000002i−2i2-20000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ23222-2-2-22-2002i2i−2i−2i000000−2i2i-2200000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000
χ24222-2-2-22-2002i2i−2i−2i000000−2i2i-220000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000
χ25222-2-2-22-200−2i−2i2i2i0000002i−2i-2200000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000
χ26222-2-2-22-200−2i−2i2i2i0000002i−2i-220000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000
χ27222-2-2-22-200−2i−2i2i2i000000−2i2i2-200000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ28222-2-2-22-200−2i−2i2i2i000000−2i2i2-20000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ292-2-22-2-222222-22-2-2-22-20000000000002i−2i2i−2i000000000000
χ302-2-22-2-222222-22-2-2-22-2000000000000−2i2i−2i2i000000000000
χ312-2-22-2-22222-22-22-2-2-22000000002i−2i2i−2i0000000000000000
χ322-2-22-2-22222-22-22-2-2-2200000000−2i2i−2i2i0000000000000000
χ332-2-22-2-222-2-22-22-222-22000000002-2-220000000000000000
χ342-2-22-2-222-2-22-22-222-2200000000-222-20000000000000000
χ352-2-22-2-222-2-2-22-22222-20000000000002-2-22000000000000
χ362-2-22-2-222-2-2-22-22222-2000000000000-222-2000000000000
χ3744-444-4-4-400000000000000004-400000000000000000000
χ3844-444-4-4-40000000000000000-4400000000000000000000
χ3944-4-4-44-444i−4i00004i−4i000000000000000000000000000000
χ4044-4-4-44-44−4i4i0000−4i4i000000000000000000000000000000
χ414-444-44-4-400000000004-400000000000000000000000000
χ424-444-44-4-40000000000-4400000000000000000000000000
χ434-44-44-4-444i−4i0000−4i4i000000000000000000000000000000
χ444-44-44-4-44−4i4i00004i−4i000000000000000000000000000000
χ454-4-4-4444-4004i−4i−4i4i00000000000000000000000000000000
χ464-4-4-4444-400−4i4i4i−4i00000000000000000000000000000000

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