Finite Group Databasebeta

← Group #11790529

Character table — Group #11790529

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444888888888888889916161616161616161818181818363636363636363636727272727272
order1224488336681212121266881212242424242424242444242424242424242422488444488888888888
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1ii−i−i-1ii−i−i-1-1ii−i−i
χ4111111111111111111111111111111-1-111111111-1-1-1-1-1−i−iii-1−i−iii-1-1−i−iii
χ5111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ6111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111
χ7111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1ii−i−i11−i−iii
χ8111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1−i−iii11ii−i−i
χ911111-1-11111-11111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-1-11-11-11-1
χ1011111-1-11111-11111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111111-1-11-11
χ1111111-1-11111-11111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111ii−i−i1−i−iii-11i−i−ii
χ1211111-1-11111-11111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111−i−iii1ii−i−i-11−iii−i
χ1311111-1-11111-1111111-1111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-11-11-11
χ1411111-1-11111-1111111-1111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-11111-111-11-1
χ1511111-1-11111-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111ii−i−i1−i−iii1-1−iii−i
χ1611111-1-11111-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111−i−iii1ii−i−i1-1i−i−ii
χ17222-2-20022220-2-2-2-22200-2-2000000002200000000-2-22002i−2i2i−2i00000000000
χ18222-2-20022220-2-2-2-22200-2-2000000002200000000-2-2200−2i2i−2i2i00000000000
χ19222-2-20022220-2-2-2-22200-2-200000000-2-20000000022-2002-2-2200000000000
χ20222-2-20022220-2-2-2-22200-2-200000000-2-20000000022-200-222-200000000000
χ2122-22-2222222-2-2-2-2-2-2-200222222-2-2-2-22200000000-22-2220000-20000000000
χ2222-22-2222222-2-2-2-2-2-2-200222222-2-2-2-2-2-2000000002-22-2-2000020000000000
χ2322-22-2-2-222222-2-2-2-2-2-20022-2-2-2-222222200000000-22-2-2-2000020000000000
χ2422-22-2-2-222222-2-2-2-2-2-20022-2-2-2-22222-2-2000000002-22220000-20000000000
χ2522-2-2200222202222-2-200-2-20000000022000000002-2-200000002-22-2000000
χ2622-2-2200222202222-2-200-2-20000000022000000002-2-20000000-22-22000000
χ2722-2-2200222202222-2-200-2-200000000-2-200000000-22200000002i−2i−2i2i000000
χ2822-2-2200222202222-2-200-2-200000000-2-200000000-2220000000−2i2i2i−2i000000
χ2944444441-21-2411-2-21-2441-211-2-211-2-20011-2-211-2-200000000000000000000
χ3044444441-21-2411-2-21-2-4-41-211-2-211-2-200-1-122-1-12200000000000000000000
χ314444444-21-214-2-211-2144-21-2-211-2-21100-2-211-2-21100000000000000000000
χ324444444-21-214-2-211-21-4-4-21-2-211-2-2110022-1-122-1-100000000000000000000
χ3344444-4-41-21-2-411-2-21-24-41-2-1-122-1-1220011-2-2-1-12200000000000000000000
χ3444444-4-41-21-2-411-2-21-2-441-2-1-122-1-12200-1-12211-2-200000000000000000000
χ3544444-4-4-21-21-4-2-211-214-4-2122-1-122-1-100-2-21122-1-100000000000000000000
χ3644444-4-4-21-21-4-2-211-21-44-2122-1-122-1-10022-1-1-2-21100000000000000000000
χ3744-44-4441-21-2-4-1-122-12001-211-2-2-1-122003i−3i003i−3i0000000000000000000000
χ3844-44-4441-21-2-4-1-122-12001-211-2-2-1-12200−3i3i00−3i3i0000000000000000000000
χ3944-44-444-21-21-422-1-12-100-21-2-21122-1-100003i−3i003i−3i00000000000000000000
χ4044-44-444-21-21-422-1-12-100-21-2-21122-1-10000−3i3i00−3i3i00000000000000000000
χ4144-44-4-4-41-21-24-1-122-12001-2-1-12211-2-2003i−3i00−3i3i0000000000000000000000
χ4244-44-4-4-41-21-24-1-122-12001-2-1-12211-2-200−3i3i003i−3i0000000000000000000000
χ4344-44-4-4-4-21-21422-1-12-100-2122-1-1-2-21100003i−3i00−3i3i00000000000000000000
χ4444-44-4-4-4-21-21422-1-12-100-2122-1-1-2-2110000−3i3i003i−3i00000000000000000000
χ454-400022−2244-4-40000000000022−2222−2200004i−4i000000000002i2−2i2000000000000000
χ464-400022−2244-4-40000000000022−2222−220000−4i4i00000000000−2i22i2000000000000000
χ474-4000−222244-4-400000000000−2222−222200004i−4i00000000000−2i22i2000000000000000
χ484-4000−222244-4-400000000000−2222−22220000−4i4i000000000002i2−2i2000000000000000
χ49888-8-8002-42-40-2-2442-400-2400000000000000000000000000000000000000
χ50888-8-800-42-42044-2-2-42004-200000000000000000000000000000000000000
χ5188-8-88002-42-4022-4-4-2400-2400000000000000000000000000000000000000
χ5288-8-8800-42-420-4-4224-2004-200000000000000000000000000000000000000
χ538-800042−422-4-2406i−6i000000002−2−22223i2−3i200000000000000000000000000000000
χ548-800042−422-4-240−6i6i000000002−2−2222−3i23i200000000000000000000000000000000
χ558-800042−42-424-20006i−6i000000−22222−2003i2−3i2000000000000000000000000000000
χ568-800042−42-424-2000−6i6i000000−22222−200−3i23i2000000000000000000000000000000
χ578-8000−42422-4-2406i−6i00000000−2222−22−3i23i200000000000000000000000000000000
χ588-8000−42422-4-240−6i6i00000000−2222−223i2−3i200000000000000000000000000000000
χ598-8000−4242-424-20006i−6i00000022−22−2200−3i23i2000000000000000000000000000000
χ608-8000−4242-424-2000−6i6i00000022−22−22003i2−3i2000000000000000000000000000000

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