Finite Group Databasebeta

← Group #11722890

Character table — Group #11722890

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112222222444444444888888812121212121212181818182424242424242424242436363636363636108
order123334666333666121212361212121212444121212122466121212121212121212128812242424242
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11111111111-1-11111-1-1-1-11-1-1-1-1-1
χ311111111111111111111111111-1111-1-1-1-1-1-11-11111-1-1111-1-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-11-1-1-1111
χ51111111111111111111111111-111-1-111-1-1-1-1-1111-1-11111-11-1-1-111-1
χ61111111111111111111111111-11-1-1-111-1-1-1-1-11-1-1-1-111-1-11-1-111-1-11
χ71111111111111111111111111-1-11-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-1-11
χ81111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ922222-2222222222-2-2-222-2-2-2-2-200000002-222000000000000-200000
χ1022222-2222222222-2-2-222-2-2-2-2-20000000-22-2-2000000000000200000
χ112222-1222-12-1-12-1-1-122-1-12-1-1-1-1220-1-1-1-122-1-12200-1-1-1-10000-100000
χ122222-1222-12-1-12-1-1-122-1-12-1-1-1-12-20-1-111-2-2112-200-1-1110000100000
χ132222-1222-12-1-12-1-1-122-1-12-1-1-1-1-22011-1-1-2-211-220011-1-10000100000
χ142222-1222-12-1-12-1-1-122-1-12-1-1-1-1-2-20111122-1-1-2-20011110000-100000
χ152222-1-222-12-1-12-1-11-2-2-1-1-21111000−i3i3−i3i32-2-1-10000−i3i3−i3i30000100000
χ162222-1-222-12-1-12-1-11-2-2-1-1-21111000−i3i3i3−i3-22110000−i3i3i3−i30000-100000
χ172222-1-222-12-1-12-1-11-2-2-1-1-21111000i3−i3−i3i3-22110000i3−i3−i3i30000-100000
χ182222-1-222-12-1-12-1-11-2-2-1-1-21111000i3−i3i3−i32-2-1-10000i3−i3i3−i30000100000
χ19222-1222-12-12-1-12-122-1-1-1-12-1-1-1022002200000-12-100-1-1-1-102000-1-10
χ20222-1222-12-12-1-12-122-1-1-1-12-1-1-102-2002200000-1-2100-1-1110-2000110
χ21222-1222-12-12-1-12-122-1-1-1-12-1-1-10-2200-2-20000012-10011-1-10-2000110
χ22222-1222-12-12-1-12-122-1-1-1-12-1-1-10-2-200-2-2000001-2100111102000-1-10
χ2322-1222-122-1-12-1-122-12-1-1-1-12-1-120222000000-10-12-1-100-1-1200-1-1000
χ2422-1222-122-1-12-1-122-12-1-1-1-12-1-120-222000000-101-2-1-10011-20011000
χ2522-1222-122-1-12-1-122-12-1-1-1-12-1-1-202-2-200000010-121100-1-1-20011000
χ2622-1222-122-1-12-1-122-12-1-1-1-12-1-1-20-2-2-2000000101-2110011200-1-1000
χ27444-24-44-24-24-2-24-2-4-42-2-22-422200000000000000000000000000000
χ28444-2-244-2-2-2-21-2-21-24-211-2-211104000-2-200000-20000110000000000
χ29444-2-244-2-2-2-21-2-21-24-211-2-21110-4000220000020000-1-10000000000
χ30444-2-2-44-2-2-2-21-2-212-421122-1-1-100000−2i32i30000000000i3−i30000000000
χ31444-2-2-44-2-2-2-21-2-212-421122-1-1-1000002i3−2i30000000000−i3i30000000000
χ3244-244-4-244-2-24-2-24-42-4-2-222-42200000000000000000000000000000
χ3344-24-24-24-2-21-2-21-2-2-2411-21-211400-2-2000000-200011000000000000
χ3444-24-24-24-2-21-2-21-2-2-2411-21-211-400220000002000-1-1000000000000
χ3544-24-2-4-24-2-21-2-21-222-4112-12-1-1000−2i32i30000000000i3−i3000000000000
χ3644-24-2-4-24-2-21-2-21-222-4112-12-1-10002i3−2i30000000000−i3i3000000000000
χ3744-2-244-2-241-2-21-2-24-2-2111-2-2110040000000000-2-200001100000000
χ3844-2-244-2-241-2-21-2-24-2-2111-2-21100-40000000000220000-1-100000000
χ3944-2-24-4-2-241-2-21-2-2-42211-122-1-100000000000000000003-300000000
χ4044-2-24-4-2-241-2-21-2-2-42211-122-1-10000000000000000000-3300000000
χ414-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000
χ424-444-20-4-424-2-2-422000-2200000000000000−2i32i3000000000000000000
χ434-444-20-4-424-2-2-422000-22000000000000002i3−2i3000000000000000000
χ444-44-240-42-4-24-22-42000-220000000000000000000000000000000i6−i60
χ454-44-240-42-4-24-22-42000-220000000000000000000000000000000−i6i60
χ464-4-24402-4-4-2-2422-4000-2200000000000000000000000000000i6−i6000
χ474-4-24402-4-4-2-2422-4000-2200000000000000000000000000000−i6i6000
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
χ508-88-4-40-844-4-4244-20002-20000000000000000000000000000000000
χ518-8-48-404-84-42-44-240002-20000000000000000000000000000000000
χ528-8-4-48044-82-4-4-2440002-20000000000000000000000000000000000
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).