Finite Group Databasebeta

← Group #11791415

Character table — Group #11791415

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order122222443346666666666661212121212121212444444444444444422441212121212121212488888888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-11111-1-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-111111-1-1-1-1-1-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-1-1-11111-11111-1-1-1-1-11-11
χ91111-1-11111-111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-11111-1-1ii−i−iii−i−i1ii−i−iii−i−i11-1-1
χ101111-1-11111-111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1−i−iii−i−iii-1-111
χ111111-1-11111-111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-11111-1-1−i−iii−i−iii1−i−iii−i−iii11-1-1
χ121111-1-11111-111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111−i−iii−i−iii1ii−i−iii−i−i-1-111
χ131111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii11111-1-11ii−i−i−i−iii-1ii−i−i−i−iii1-1-11
χ141111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii1111-111-1ii−i−i−i−iii-1−i−iiiii−i−i-111-1
χ151111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i11111-1-11−i−iiiii−i−i-1−i−iiiii−i−i1-1-11
χ161111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i1111-111-1−i−iiiii−i−i-1ii−i−i−i−iii-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ192222-2-22222-222-2-2-22222-2-2-22222-2-2-2-222220000000022-2-2000000000000-2000000000000
χ202222-2-2-2-222222-2-2-22222-2-2-2-2-2-2-22222222200000000-2-2-2-20000000000002000000000000
χ2122-2-2002-2220-2-2000-222-200022-2-200002i2i−2i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i2i−2i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000
χ2222-2-2002-2220-2-2000-222-200022-2-200002i2i−2i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i2i−2i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000000
χ2322-2-2002-2220-2-2000-222-200022-2-20000−2i−2i2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i−2i2i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000
χ2422-2-2002-2220-2-2000-222-200022-2-20000−2i−2i2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−2i2i000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000
χ2522-2-200-22220-2-2000-222-2000-2-22200002i2i−2i−2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i−2i2i0000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000000000000
χ2622-2-200-22220-2-2000-222-2000-2-22200002i2i−2i−2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−2i2i000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000000000000
χ2722-2-200-22220-2-2000-222-2000-2-2220000−2i−2i2i2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i2i−2i0000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000000000000
χ2822-2-200-22220-2-2000-222-2000-2-2220000−2i−2i2i2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i2i−2i000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000000000000
χ292-2-222-2002202-222-2-2-2-22-22-2000000002-22-200000000002-2000000000000000002i−2i2i−2i0000
χ302-2-222-2002202-222-2-2-2-22-22-2000000002-22-200000000002-200000000000000000−2i2i−2i2i0000
χ312-2-222-2002202-222-2-2-2-22-22-200000000-22-220000000000-2200000000000002i−2i2i−2i00000000
χ322-2-222-2002202-222-2-2-2-22-22-200000000-22-220000000000-220000000000000−2i2i−2i2i00000000
χ332-2-22-22002202-2-2-22-2-2-222-22000000002-22-20000000000-2200000000000002-2-2200000000
χ342-2-22-22002202-2-2-22-2-2-222-22000000002-22-20000000000-220000000000000-222-200000000
χ352-2-22-22002202-2-2-22-2-2-222-2200000000-22-2200000000002-2000000000000000002-2-220000
χ362-2-22-22002202-2-2-22-2-2-222-2200000000-22-2200000000002-200000000000000000-222-20000
χ37444444441-2411111-21-2-21-2-21-21-211-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-2411111-21-2-21-2-21-21-211-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-214-2-2-2-2-21-211-211-21-21-2-2110000000000000000222200000000000000000-1-1-1-1
χ4044444444-214-2-2-2-2-21-211-211-21-21-2-2110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-411111-21-2-21-2-2-12-12-1-12200002222-2-2-2-200000000-1-1-1-111110000000000000
χ42444444-4-41-2-411111-21-2-21-2-2-12-12-1-1220000-2-2-2-22222000000001111-1-1-1-10000000000000
χ43444444-4-4-21-4-2-2-2-2-21-211-2112-12-122-1-100000000000000002-22-200000000000000000-11-11
χ44444444-4-4-21-4-2-2-2-2-21-211-2112-12-122-1-10000000000000000-22-22000000000000000001-11-1
χ454444-4-4441-2-411-1-1-1-21-2-2-1221-21-2-1-12200002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000000
χ464444-4-4441-2-411-1-1-1-21-2-2-1221-21-2-1-1220000−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000000
χ474444-4-444-21-4-2-22221-2112-1-1-21-2122-1-1000000000000000022-2-200000000000000000-1-111
χ484444-4-444-21-4-2-22221-2112-1-1-21-2122-1-10000000000000000-2-2220000000000000000011-1-1
χ494444-4-4-4-41-2411-1-1-1-21-2-2-122-12-1211-2-200002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000000
χ504444-4-4-4-41-2411-1-1-1-21-2-2-122-12-1211-2-20000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000000
χ514444-4-4-4-4-214-2-22221-2112-1-12-12-1-2-21100000000000000002-2-2200000000000000000-111-1
χ524444-4-4-4-4-214-2-22221-2112-1-12-12-1-2-2110000000000000000-222-2000000000000000001-1-11
χ5344-4-4004-41-20-1-13-3321-22-3001-2-123-30000002-22-22-22-200000000-11-11-11-110000000000000
χ5444-4-4004-41-20-1-13-3321-22-3001-2-123-3000000-22-22-22-22000000001-11-11-11-10000000000000
χ5544-4-4004-41-20-1-1-33-321-223001-2-12-330000002i−2i−2i2i2i−2i−2i2i00000000−iii−i−iii−i0000000000000
χ5644-4-4004-41-20-1-1-33-321-223001-2-12-33000000−2i2i2i−2i−2i2i2i−2i00000000i−i−iii−i−ii0000000000000
χ5744-4-400-441-20-1-13-3321-22-300-121-2-330000002-22-2-22-2200000000-11-111-11-10000000000000
χ5844-4-400-441-20-1-13-3321-22-300-121-2-33000000-22-222-22-2000000001-11-1-11-110000000000000
χ5944-4-400-441-20-1-1-33-321-22300-121-23-30000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii0000000000000
χ6044-4-400-441-20-1-1-33-321-22300-121-23-3000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i0000000000000
χ614-44-40000440-440004-4-4-4000000000004i−4i−4i4i0000000000000000000000000000000000000
χ624-44-40000440-440004-4-4-400000000000−4i4i4i−4i0000000000000000000000000000000000000
χ6388-8-8008-8-42044000-2-42-2000-424-2000000000000000000000000000000000000000000000
χ6488-8-800-88-42044000-2-42-20004-2-42000000000000000000000000000000000000000000000
χ658-88-800002-40-226-6-6-4-2446000000000000000000000000000000000000000000000000000
χ668-88-800002-40-22-666-4-244-6000000000000000000000000000000000000000000000000000
χ678-88-80000-4204-400024-2-20000000006i−6i00000000000000000000000000000000000000000
χ688-88-80000-4204-400024-2-2000000000−6i6i00000000000000000000000000000000000000000
χ698-8-888-8002-402-222-24-24-4-2-440000000000000000000000000000000000000000000000000
χ708-8-888-800-420-44-4-44-24-2242-20000000000000000000000000000000000000000000000000
χ718-8-88-88002-402-2-2-224-24-424-40000000000000000000000000000000000000000000000000
χ728-8-88-8800-420-4444-4-24-22-4-220000000000000000000000000000000000000000000000000

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