Finite Group Databasebeta

← Group #11722888

Character table — Group #11722888

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112222222444444444888888812121212121212181818182424242424242424242436363636363636108
order12333466633366612121236121212121224466121224121266612121212121212688242424244
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-111111111111-11-111-1-11-1-1-1-1-1-1-1
χ311111111111111111111111111-1111-1-1-1-1-1-11111-11-1-111-11-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111-111-1-111-1-1-1-1-1-1-11111111-1-11-1-111-1
χ61111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-111-1-1-11-111-1-11
χ71111111111111111111111111-1-11-1-1-1-11111-1-1-11-11-1-1111-1-1-1-1-1-11
χ81111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ922222-2222222222-2-2-222-2-2-2-2-200000002-2-2-2000000000020000000
χ1022222-2222222222-2-2-222-2-2-2-2-20000000-22220000000000-20000000
χ112222-1222-12-1-1-12-1-122-1-1-12-1-1-1220-1-1-1-122-1-12-1-1020-1-100-10000000
χ122222-1222-12-1-1-12-1-122-1-1-12-1-1-12-20-1-111-2-2112-1-10-20110010000000
χ132222-1222-12-1-1-12-1-122-1-1-12-1-1-1-22011-1-1-2-211-211020-1-10010000000
χ142222-1222-12-1-1-12-1-122-1-1-12-1-1-1-2-20111122-1-1-2110-201100-10000000
χ152222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3−i3i32-2110−i3i3000−i3i300-10000000
χ162222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3i3−i3-22-1-10−i3i3000i3−i30010000000
χ172222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3−i3i3-22-1-10i3−i3000−i3i30010000000
χ182222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3i3−i32-2110i3−i3000i3−i300-10000000
χ19222-122-122-12-1-1-122-12-1-1-1-12-1-120222000000-1-1-1-10200-1-1020-1-1000
χ20222-122-122-12-1-1-122-12-1-1-1-12-1-120-222000000-1-1-110-200110-2011000
χ21222-122-122-12-1-1-122-12-1-1-1-12-1-1-202-2-2000000111-10200-1-10-2011000
χ22222-122-122-12-1-1-122-12-1-1-1-12-1-1-20-2-2-200000011110-20011020-1-1000
χ2322-12222-12-1-122-1-122-1-1-12-1-1-1-1022002200000002-1-1-1-1-1-100200-1-10
χ2422-12222-12-1-122-1-122-1-1-12-1-1-1-102-200220000000-2-11-1-11100-200110
χ2522-12222-12-1-122-1-122-1-1-12-1-1-1-10-2200-2-2000000021-111-1-100-200110
χ2622-12222-12-1-122-1-122-1-1-12-1-1-1-10-2-200-2-20000000-211111100200-1-10
χ27444-24-4-244-24-2-2-24-42-4-2-222-42200000000000000000000000000000
χ28444-2-24-24-2-2-211-2-2-2-24111-2-211400-2-2000000-211000000000000000
χ29444-2-24-24-2-2-211-2-2-2-24111-2-211-400220000002-1-1000000000000000
χ30444-2-2-4-24-2-2-211-2-222-411-122-1-1000−2i32i30000000i3−i3000000000000000
χ31444-2-2-4-24-2-2-211-2-222-411-122-1-10002i3−2i30000000−i3i3000000000000000
χ3244-244-44-24-2-244-2-2-4-42-2-2-4222200000000000000000000000000000
χ3344-24-244-2-2-21-2-2-21-24-211-2-211104000-2-200000000-20110000000000
χ3444-24-244-2-2-21-2-2-21-24-211-2-21110-4000220000000020-1-10000000000
χ3544-24-2-44-2-2-21-2-2-212-421122-1-1-100000−2i32i30000000000i3−i30000000000
χ3644-24-2-44-2-2-21-2-2-212-421122-1-1-1000002i3−2i30000000000−i3i30000000000
χ3744-2-244-2-241-2-2-21-24-2-211-21-21100400000000000-20-2001100000000
χ3844-2-244-2-241-2-2-21-24-2-211-21-21100-40000000000020200-1-100000000
χ3944-2-24-4-2-241-2-2-21-2-422112-12-1-100000000000000000003-300000000
χ4044-2-24-4-2-241-2-2-21-2-422112-12-1-10000000000000000000-3300000000
χ414-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000
χ424-444-20-4-424-2-22-42000-220000000000000023−23000000000000000000
χ434-444-20-4-424-2-22-42000-2200000000000000−2323000000000000000000
χ444-44-2402-4-4-24-222-4000-22000000000000000000000000000006−6000
χ454-44-2402-4-4-24-222-4000-2200000000000000000000000000000−66000
χ464-4-2440-42-4-2-24-422000-220000000000000000000000000000000i6−i60
χ474-4-2440-42-4-2-24-422000-220000000000000000000000000000000−i6i60
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
χ508-88-4-404-84-4-42-2440002-20000000000000000000000000000000000
χ518-8-48-40-844-42-444-20002-20000000000000000000000000000000000
χ528-8-4-48044-82-4-44-240002-20000000000000000000000000000000000
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).