Finite Group Databasebeta

← Group #11722889

Character table — Group #11722889

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112222222444444444888888812121212121212181818182424242424242424242436363636363636108
order12333466633366612121236121212121224412121212246666661212121212128812242424244
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-111-1-1-1-1-1-111111-111-1-11-1-111-1-1-1
χ311111111111111111111111111-11-1-111-1-1-1-11111-11-1-111-11-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11
χ51111111111111111111111111-11111111111-1-1-1-1111111-1-11-1-1-1-1-1
χ61111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-1-1111
χ71111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ81111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ922222-2222222222-2-2-222-2-2-2-2-200000002-222000000000000-200000
χ1022222-2222222222-2-2-222-2-2-2-2-20000000-22-2-2000000000000200000
χ112222-1222-1-1-122-1-1-122-1-12-1-1-1-1022-1-1-1-122-1-1000022-1-1-1-100-100000
χ122222-1222-1-1-122-1-1-122-1-12-1-1-1-102-2-1-111-2-21100002-2-1-11100100000
χ132222-1222-1-1-122-1-1-122-1-12-1-1-1-10-2211-1-1-2-2110000-2211-1-100100000
χ142222-1222-1-1-122-1-1-122-1-12-1-1-1-10-2-2111122-1-10000-2-2111100-100000
χ152222-1-222-1-1-122-1-11-2-2-1-1-21111000−i3i3−i3i32-2-1-1000000−i3i3−i3i300100000
χ162222-1-222-1-1-122-1-11-2-2-1-1-21111000−i3i3i3−i3-2211000000−i3i3i3−i300-100000
χ172222-1-222-1-1-122-1-11-2-2-1-1-21111000i3−i3−i3i3-2211000000i3−i3−i3i300-100000
χ182222-1-222-1-1-122-1-11-2-2-1-1-21111000i3−i3i3−i32-2-1-1000000i3−i3i3−i300100000
χ19222-1222-122-1-1-12-122-1-1-1-12-1-1-1202002200002-1-1-10-100-1-102000-1-10
χ20222-1222-122-1-1-12-122-1-1-1-12-1-1-120-200-2-200002-1-1-10100110-2000110
χ21222-1222-122-1-1-12-122-1-1-1-12-1-1-1-20200220000-21110-100-1-10-2000110
χ22222-1222-122-1-1-12-122-1-1-1-12-1-1-1-20-200-2-20000-211101001102000-1-10
χ2322-1222-122-12-1-1-122-12-1-1-1-12-1-122022000000-12-1-1-10-1-100200-1-1000
χ2422-1222-122-12-1-1-122-12-1-1-1-12-1-12-20-2-2000000-12-1-1101100-20011000
χ2522-1222-122-12-1-1-122-12-1-1-1-12-1-1-220220000001-211-10-1-100-20011000
χ2622-1222-122-12-1-1-122-12-1-1-1-12-1-1-2-20-2-20000001-211101100200-1-1000
χ27444-24-44-244-2-2-24-2-4-42-2-22-422200000000000000000000000000000
χ28444-2-244-2-2-21-2-2-21-24-211-2-211100400-2-2000000000-2001100000000
χ29444-2-244-2-2-21-2-2-21-24-211-2-211100-40022000000000200-1-100000000
χ30444-2-2-44-2-2-21-2-2-212-421122-1-1-100000−2i32i3000000000000i3−i300000000
χ31444-2-2-44-2-2-21-2-2-212-421122-1-1-1000002i3−2i3000000000000−i3i300000000
χ3244-244-4-244-24-2-2-24-42-4-2-222-42200000000000000000000000000000
χ3344-24-24-24-21-2-2-21-2-2-2411-21-211040-2-20000000000-20110000000000
χ3444-24-24-24-21-2-2-21-2-2-2411-21-2110-4022000000000020-1-10000000000
χ3544-24-2-4-24-21-2-2-21-222-4112-12-1-1000−2i32i3000000000000i3−i30000000000
χ3644-24-2-4-24-21-2-2-21-222-4112-12-1-10002i3−2i3000000000000−i3i30000000000
χ3744-2-244-2-24-2-211-2-24-2-2111-2-21140000000000-2-21100000000000000
χ3844-2-244-2-24-2-211-2-24-2-2111-2-211-4000000000022-1-100000000000000
χ3944-2-24-4-2-24-2-211-2-2-42211-122-1-100000000000003-300000000000000
χ4044-2-24-4-2-24-2-211-2-2-42211-122-1-10000000000000-3300000000000000
χ414-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000
χ424-444-20-4-42-2-24-422000-2200000000000000−2i32i3000000000000000000
χ434-444-20-4-42-2-24-422000-22000000000000002i3−2i3000000000000000000
χ444-44-240-42-44-2-22-42000-2200000000000000000000000000000006−60
χ454-44-240-42-44-2-22-42000-220000000000000000000000000000000−660
χ464-4-24402-4-4-24-222-4000-22000000000000000000000000000006−6000
χ474-4-24402-4-4-24-222-4000-2200000000000000000000000000000−66000
χ4888-4-4-48-4-4-4222222-4-4-4-1-1222-1-100000000000000000000000000000
χ4988-4-4-4-8-4-4-4222222444-1-1-2-2-21100000000000000000000000000000
χ508-88-4-40-844-42-444-20002-20000000000000000000000000000000000
χ518-8-48-404-842-4-44-240002-20000000000000000000000000000000000
χ528-8-4-48044-8-4-42-2440002-20000000000000000000000000000000000
χ538-8-4-4-40444222-2-2-2000-1100033−3300000000000000000000000000000
χ548-8-4-4-40444222-2-2-2000-11000−333300000000000000000000000000000

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