Finite Group Databasebeta

← Group #11775357

Character table — Group #11775357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111444444444448888888888888816161616161616161818181818183672727272727272727272
order1222334446666662412121212121212121212121266661212121222444444444448888
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
χ91111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-11-11-11-1
χ101111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-1-11-11-11-11
χ111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-11i−i−iii−i−ii
χ121111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-11−iii−i−iii−i
χ131111111-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-11-1-11-11
χ141111111-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-111-11-1
χ151111111-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1i−i−ii−iii−i
χ161111111-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1−iii−ii−i−ii
χ17222222-22-2222222002222-2-2-2-2-2-2-2-2000000002222-2-2-20000000000
χ18222222-22-2222222002222-2-2-2-2-2-2-2-200000000-2-2-2-22220000000000
χ19222222-2-2222222200-2-2-2-22222-2-2-2-20000000022-2-2-2-220000000000
χ20222222-2-2222222200-2-2-2-22222-2-2-2-200000000-2-22222-20000000000
χ2144441-244411-2-21-24411-2-211-2-211-2-211-2-211-2-200000000000000000
χ2244441-244411-2-21-2-4-411-2-211-2-211-2-2-1-122-1-12200000000000000000
χ2344441-24-4-411-2-21-24-4-1-122-1-12211-2-211-2-2-1-12200000000000000000
χ2444441-24-4-411-2-21-2-44-1-122-1-12211-2-2-1-12211-2-200000000000000000
χ2544441-2-44-411-2-21-20011-2-2-1-122-1-1223-3003-30000000000000000000
χ2644441-2-44-411-2-21-20011-2-2-1-122-1-122-3300-330000000000000000000
χ2744441-2-4-4411-2-21-200-1-12211-2-2-1-1223-300-330000000000000000000
χ2844441-2-4-4411-2-21-200-1-12211-2-2-1-122-33003-30000000000000000000
χ294444-21444-2-211-2144-2-211-2-211-2-211-2-211-2-21100000000000000000
χ304444-21444-2-211-21-4-4-2-211-2-211-2-21122-1-122-1-100000000000000000
χ314444-214-4-4-2-211-214-422-1-122-1-1-2-211-2-21122-1-100000000000000000
χ324444-214-4-4-2-211-21-4422-1-122-1-1-2-21122-1-1-2-21100000000000000000
χ334444-21-44-4-2-211-2100-2-21122-1-122-1-1003-3003-300000000000000000
χ344444-21-44-4-2-211-2100-2-21122-1-122-1-100-3300-3300000000000000000
χ354444-21-4-44-2-211-210022-1-1-2-21122-1-1003-300-3300000000000000000
χ364444-21-4-44-2-211-210022-1-1-2-21122-1-100-33003-300000000000000000
χ3744-4-444000-4-4-4-4440000000000000000000000004i−4i0000000000000
χ3844-4-444000-4-4-4-444000000000000000000000000−4i4i0000000000000
χ394-44-4440004-44-4-4-4000000000000000000000000004i−4i00000000000
χ404-44-4440004-44-4-4-400000000000000000000000000−4i4i00000000000
χ414-4-4444000-44-44-4-400000000000000000000004-4000000000000000
χ424-4-4444000-44-44-4-40000000000000000000000-44000000000000000
χ4388-8-82-4000-2-2442-400000000006-6000000000000000000000000000
χ4488-8-82-4000-2-2442-40000000000-66000000000000000000000000000
χ4588-8-8-4200044-2-2-420000000000006-60000000000000000000000000
χ4688-8-8-4200044-2-2-42000000000000-660000000000000000000000000
χ478-88-82-40002-2-44-240000006i−6i0000000000000000000000000000000
χ488-88-82-40002-2-44-24000000−6i6i0000000000000000000000000000000
χ498-88-8-42000-442-24-2000000006i−6i00000000000000000000000000000
χ508-88-8-42000-442-24-200000000−6i6i00000000000000000000000000000
χ518-8-882-4000-224-4-24006i−6i00000000000000000000000000000000000
χ528-8-882-4000-224-4-2400−6i6i00000000000000000000000000000000000
χ538-8-88-420004-4-224-200006i−6i000000000000000000000000000000000
χ548-8-88-420004-4-224-20000−6i6i000000000000000000000000000000000

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