Finite Group Databasebeta

← Group #11775358

Character table — Group #11775358

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111444444444448888888888888816161616161616161818181818183672727272727272727272
order12223344466666644121212121212121212121212121212121212121222444442444448888
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
χ9111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-11-11-11-11-1
χ10111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-11-11-11-11
χ11111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-11i−i−iii−i−ii
χ12111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-11−iii−i−iii−i
χ13111111-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11-1-11-11
χ14111111-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11-111-11-1
χ15111111-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1i−i−ii−iii−i
χ16111111-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1−iii−ii−i−ii
χ172222222-2-222222200-2-2-2-22222-2-2-2-2000000002222-2-2-20000000000
χ182222222-2-222222200-2-2-2-22222-2-2-2-200000000-2-2-2-22220000000000
χ19222222-22-222222200-2-2-2-2-2-2-2-222220000000022-2-2-2-220000000000
χ20222222-22-222222200-2-2-2-2-2-2-2-2222200000000-2-22222-20000000000
χ2144441-24441-211-2-24411-2-211-2-211-2-211-2-211-2-200000000000000000
χ2244441-24441-211-2-2-4-411-2-211-2-211-2-2-1-122-1-12200000000000000000
χ2344441-24-4-41-211-2-200-1-12211-2-2-1-1223-3003-30000000000000000000
χ2444441-24-4-41-211-2-200-1-12211-2-2-1-122-3300-330000000000000000000
χ2544441-2-44-41-211-2-200-1-122-1-12211-2-23-300-330000000000000000000
χ2644441-2-44-41-211-2-200-1-122-1-12211-2-2-33003-30000000000000000000
χ2744441-2-4-441-211-2-24-411-2-2-1-122-1-12211-2-2-1-12200000000000000000
χ2844441-2-4-441-211-2-2-4411-2-2-1-122-1-122-1-12211-2-200000000000000000
χ294444-21444-21-2-21144-2-211-2-211-2-211-2-211-2-21100000000000000000
χ304444-21444-21-2-211-4-4-2-211-2-211-2-21122-1-122-1-100000000000000000
χ314444-214-4-4-21-2-2110022-1-1-2-21122-1-1003-3003-300000000000000000
χ324444-214-4-4-21-2-2110022-1-1-2-21122-1-100-3300-3300000000000000000
χ334444-21-44-4-21-2-2110022-1-122-1-1-2-211003-300-3300000000000000000
χ344444-21-44-4-21-2-2110022-1-122-1-1-2-21100-33003-300000000000000000
χ354444-21-4-44-21-2-2114-4-2-21122-1-122-1-1-2-21122-1-100000000000000000
χ364444-21-4-44-21-2-211-44-2-21122-1-122-1-122-1-1-2-21100000000000000000
χ3744-4-444000-4-44-44-4000000000000000000000000004i−4i00000000000
χ3844-4-444000-4-44-44-400000000000000000000000000−4i4i00000000000
χ394-44-444000-4-4-44-4400000000000000000000004-4000000000000000
χ404-44-444000-4-4-44-440000000000000000000000-44000000000000000
χ414-4-444400044-4-4-4-40000000000000000000000004i−4i0000000000000
χ424-4-444400044-4-4-4-4000000000000000000000000−4i4i0000000000000
χ4388-8-82-4000-242-2-4400000000006i−6i000000000000000000000000000
χ4488-8-82-4000-242-2-440000000000−6i6i000000000000000000000000000
χ4588-8-8-420004-2-442-20000000000006i−6i0000000000000000000000000
χ4688-8-8-420004-2-442-2000000000000−6i6i0000000000000000000000000
χ478-88-82-4000-24-224-40000006i−6i0000000000000000000000000000000
χ488-88-82-4000-24-224-4000000−6i6i0000000000000000000000000000000
χ498-88-8-420004-24-4-22000000006i−6i00000000000000000000000000000
χ508-88-8-420004-24-4-2200000000−6i6i00000000000000000000000000000
χ518-8-882-40002-4-2-244006-600000000000000000000000000000000000
χ528-8-882-40002-4-2-24400-6600000000000000000000000000000000000
χ538-8-88-42000-4244-2-200006-6000000000000000000000000000000000
χ548-8-88-42000-4244-2-20000-66000000000000000000000000000000000

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