Finite Group Databasebeta

← Group #11775394

Character table — Group #11775394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111444444444448888888888888816161616161616161818181818183672727272727272727272
order1222233446666664466661212121212121212121212121212121222444422444448888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1
χ6111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111
χ7111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ8111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ91111-1111-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-11-11-11-11-11-1
χ101111-1111-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-11-1-11-11-11-11
χ111111-1111-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-11i−i−iii−i−ii
χ121111-1111-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-11−iii−i−iii−i
χ131111-1111-1111111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-1-11-11
χ141111-1111-1111111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-111-11-1
χ151111-1111-1111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1i−i−ii−iii−i
χ161111-1111-1111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1−iii−ii−i−ii
χ172222222-2-2222222002222-2-2-2-2-2-2-2-20000000022-2-2-2-220000000000
χ182222222-2-2222222002222-2-2-2-2-2-2-2-200000000-2-22222-20000000000
χ192222-222-2222222200-2-2-2-2-2-2-2-22222000000002222-2-2-20000000000
χ202222-222-2222222200-2-2-2-2-2-2-2-2222200000000-2-2-2-22220000000000
χ21444441-2441-21-21-24411-2-211-2-211-2-211-2-211-2-200000000000000000
χ22444441-2441-21-21-2-4-411-2-211-2-211-2-2-1-122-1-12200000000000000000
χ23444441-2-4-41-21-21-20011-2-2-1-122-1-1223-3003-30000000000000000000
χ24444441-2-4-41-21-21-20011-2-2-1-122-1-122-3300-330000000000000000000
χ2544444-2144-21-21-2144-2-211-2-211-2-211-2-211-2-21100000000000000000
χ2644444-2144-21-21-21-4-4-2-211-2-211-2-21122-1-122-1-100000000000000000
χ2744444-21-4-4-21-21-2100-2-21122-1-122-1-1003-3003-300000000000000000
χ2844444-21-4-4-21-21-2100-2-21122-1-122-1-100-3300-3300000000000000000
χ294444-41-24-41-21-21-24-4-1-12211-2-2-1-12211-2-2-1-12200000000000000000
χ304444-41-24-41-21-21-2-44-1-12211-2-2-1-122-1-12211-2-200000000000000000
χ314444-41-2-441-21-21-200-1-122-1-12211-2-23-300-330000000000000000000
χ324444-41-2-441-21-21-200-1-122-1-12211-2-2-33003-30000000000000000000
χ334444-4-214-4-21-21-214-422-1-1-2-21122-1-1-2-21122-1-100000000000000000
χ344444-4-214-4-21-21-21-4422-1-1-2-21122-1-122-1-1-2-21100000000000000000
χ354444-4-21-44-21-21-210022-1-122-1-1-2-211003-300-3300000000000000000
χ364444-4-21-44-21-21-210022-1-122-1-1-2-21100-33003-300000000000000000
χ3744-4-404400-4-444-4-400000000000000000000004-4000000000000000
χ3844-4-404400-4-444-4-40000000000000000000000-44000000000000000
χ394-44-40440044-4-4-4-4000000000000000000000000004i−4i00000000000
χ404-44-40440044-4-4-4-400000000000000000000000000−4i4i00000000000
χ414-4-4404400-4-4-4-4440000000000000000000000004-40000000000000
χ424-4-4404400-4-4-4-444000000000000000000000000-440000000000000
χ4388-8-802-400-242-4-2400000000006i−6i000000000000000000000000000
χ4488-8-802-400-242-4-240000000000−6i6i000000000000000000000000000
χ4588-8-80-42004-2-424-20000000000006i−6i0000000000000000000000000
χ4688-8-80-42004-2-424-2000000000000−6i6i0000000000000000000000000
χ478-88-802-4002-4-24-24006-600000000000000000000000000000000000
χ488-88-802-4002-4-24-2400-6600000000000000000000000000000000000
χ498-88-80-4200-424-24-200006-6000000000000000000000000000000000
χ508-88-80-4200-424-24-20000-66000000000000000000000000000000000
χ518-8-8802-400-24-242-40000006-60000000000000000000000000000000
χ528-8-8802-400-24-242-4000000-660000000000000000000000000000000
χ538-8-880-42004-24-2-42000000006-600000000000000000000000000000
χ548-8-880-42004-24-2-4200000000-6600000000000000000000000000000

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