Finite Group Databasebeta

← Group #11796502

Character table — Group #11796502

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11244444444444448888888888888991616161616161616183636363636727272727272727272
order1222233444666666412121212121212121212121244666612121212424444288888888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111-1-1111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-111-1-111-1-1
χ611111111-1-1111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-111-1-111
χ711111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11ii−i−i−i−iii
χ811111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11−i−iiiii−i−i
χ9111-1-111111111111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1i−ii−ii−ii−i
χ10111-1-111111111111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1−ii−ii−ii−ii
χ11111-1-111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11
χ12111-1-111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-11-1
χ13111-1-1111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11i−i−iii−i−ii
χ14111-1-1111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11−iii−i−iii−i
χ15111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1-11-111-1
χ16111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-11-1-11
χ172222-222-200222222000000000-2-2-2-22222-2-200002-2002-2000000000
χ182222-222-200222222000000000-2-2-2-2-2-222-2-20000-2200-22000000000
χ19222-2222-200222222000000000-2-2-2-222-2-22200002-200-22000000000
χ20222-2222-200222222000000000-2-2-2-2-2-2-2-2220000-22002-2000000000
χ21444441-244411-2-21-241111-2-2-2-211-2-2001-21-211-2-2000000000000000
χ22444441-24-4-411-2-21-2-4-1-1-1-1222211-2-2001-21-2-1-122000000000000000
χ2344444-21444-2-211-214-2-2-2-21111-2-21100-21-21-2-211000000000000000
χ2444444-214-4-4-2-211-21-42222-1-1-1-1-2-21100-21-2122-1-1000000000000000
χ254444-41-2-40011-2-21-2033-3-30000-1-122001-2-123-300000000000000000
χ264444-41-2-40011-2-21-20-3-3330000-1-122001-2-12-3300000000000000000
χ274444-4-21-400-2-211-210000033-3-322-1-100-212-1003-3000000000000000
χ284444-4-21-400-2-211-2100000-3-33322-1-100-212-100-33000000000000000
χ29444-441-2-40011-2-21-2033-3-30000-1-12200-121-2-3300000000000000000
χ30444-441-2-40011-2-21-20-3-3330000-1-12200-121-23-300000000000000000
χ31444-44-21-400-2-211-210000033-3-322-1-1002-1-2100-33000000000000000
χ32444-44-21-400-2-211-2100000-3-33322-1-1002-1-21003-3000000000000000
χ33444-4-41-244411-2-21-2-41111-2-2-2-211-2-200-12-12-1-122000000000000000
χ34444-4-41-24-4-411-2-21-24-1-1-1-1222211-2-200-12-1211-2-2000000000000000
χ35444-4-4-21444-2-211-21-4-2-2-2-21111-2-211002-12-122-1-1000000000000000
χ36444-4-4-214-4-4-2-211-2142222-1-1-1-1-2-211002-12-1-2-211000000000000000
χ3744-40044000-4-4-4-44400000000000004400000000-400000000000000
χ3844-40044000-4-4-4-4440000000000000-4-400000000400000000000000
χ394-40004402i−2i0000-4-402i−2i2i−2i2i−2i2i−2i00004i−4i00000000002-200000000000
χ404-40004402i−2i0000-4-402i−2i2i−2i2i−2i2i−2i0000−4i4i0000000000-2200000000000
χ414-4000440−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i00004i−4i0000000000-2200000000000
χ424-4000440−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i0000−4i4i00000000002-200000000000
χ4388-8002-4000-2-2442-40000000006-6000000000000000000000000000
χ4488-8002-4000-2-2442-4000000000-66000000000000000000000000000
χ4588-800-4200044-2-2-42000000000006-60000000000000000000000000
χ4688-800-4200044-2-2-4200000000000-660000000000000000000000000
χ478-80002-404i−4i6-600-2404i−4i−2i2i−2i2i−2i2i00000000000000000000000000000
χ488-80002-404i−4i-6600-240−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000
χ498-80002-40−4i4i6-600-240−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000
χ508-80002-40−4i4i-6600-2402i−2i−4i4i2i−2i2i−2i00000000000000000000000000000
χ518-8000-4204i−4i006-64-20−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000
χ528-8000-4204i−4i00-664-20−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000
χ538-8000-420−4i4i006-64-202i−2i2i−2i−4i4i2i−2i00000000000000000000000000000
χ548-8000-420−4i4i00-664-202i−2i2i−2i2i−2i−4i4i00000000000000000000000000000

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