Finite Group Databasebeta

← Group #11775096

Character table — Group #11775096

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12222244334666666666666121212121212121244444444444444444444121212121212121248888888812121212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-11111-1-1-1-111111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-111111-1-1-1-11-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1-1-111111-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-1-1-1111111111-1-1-1-1-11-11
χ91111-1-11111-1111-1-1-1111-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1ii−i−iii−i−i-1-111
χ101111-1-11111-1111-1-1-1111-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−i11-1-1-1-111ii−i−iii−i−i1−i−iii−i−iii11-1-1
χ111111-1-11111-1111-1-1-1111-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1−i−iii−i−iii-1-111
χ121111-1-11111-1111-1-1-1111-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii11-1-1-1-111−i−iii−i−iii1ii−i−iii−i−i11-1-1
χ131111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1111111ii−i−i−i−iii-1-1-1-11-1-11ii−i−i−i−iii1ii−i−i−i−iii-111-1
χ141111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1111111ii−i−i−i−iii-1-1-1-1-111-1ii−i−i−i−iii1−i−iiiii−i−i1-1-11
χ151111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1111111−i−iiiii−i−i-1-1-1-11-1-11−i−iiiii−i−i1−i−iiiii−i−i-111-1
χ161111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1111111−i−iiiii−i−i-1-1-1-1-111-1−i−iiiii−i−i1ii−i−i−i−iii1-1-11
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-22222-2222-2-2-2222-2-2-222-2-222-2-2222200000000-2-222000000000000-2000000000000
χ202222-2-2-2-2222222-2-2-2222-2-2-2-2-222-2-222-2-2-2-2000000002222000000000000-2000000000000
χ2122-2-2002-2220-2-2-20002-220002-2002-2002i2i−2i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i002i−2i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000
χ2222-2-2002-2220-2-2-20002-220002-2002-2002i2i−2i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i002i−2i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000000
χ2322-2-2002-2220-2-2-20002-220002-2002-200−2i−2i2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00−2i2i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000
χ2422-2-2002-2220-2-2-20002-220002-2002-200−2i−2i2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00−2i2i0000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000
χ2522-2-200-22220-2-2-20002-22000-2200-22002i2i−2i−2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i00−2i2i00001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000000000000
χ2622-2-200-22220-2-2-20002-22000-2200-22002i2i−2i−2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i00−2i2i0000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000000000000
χ2722-2-200-22220-2-2-20002-22000-2200-2200−2i−2i2i2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i002i−2i00001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000000000000
χ2822-2-200-22220-2-2-20002-22000-2200-2200−2i−2i2i2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i002i−2i0000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000000000000
χ292-22-22-20022022-222-2-2-2-2-22-2000000002-22-2000000002-20000000000000002−22−22−22−20000
χ302-22-22-20022022-222-2-2-2-2-22-2000000002-22-2000000002-2000000000000000−22−22−22−220000
χ312-22-22-20022022-222-2-2-2-2-22-200000000-22-2200000000-220000000000000002−22−2−22−220000
χ322-22-22-20022022-222-2-2-2-2-22-200000000-22-2200000000-22000000000000000−22−222−22−20000
χ332-22-2-220022022-2-2-22-2-2-22-22000000002-22-200000000-22000000000000000i2−i2−i2i2−i2i2i2−i20000
χ342-22-2-220022022-2-2-22-2-2-22-22000000002-22-200000000-22000000000000000−i2i2i2−i2i2−i2−i2i20000
χ352-22-2-220022022-2-2-22-2-2-22-2200000000-22-22000000002-2000000000000000i2−i2−i2i2i2−i2−i2i20000
χ362-22-2-220022022-2-2-22-2-2-22-2200000000-22-22000000002-2000000000000000−i2i2i2−i2−i2i2i2−i20000
χ37444444441-241-211111-2-21-2-21111-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-241-211111-2-21-2-21111-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-214-21-2-2-2-2-211-211-2-2-2-211110000000000000000222200000000000000000-1-1-1-1
χ4044444444-214-21-2-2-2-2-211-211-2-2-2-211110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-41-211111-2-21-2-2-1-1-1-1222200002222-2-2-2-200000000-1-1-1-111110000000000000
χ42444444-4-41-2-41-211111-2-21-2-2-1-1-1-122220000-2-2-2-22222000000001111-1-1-1-10000000000000
χ43444444-4-4-21-4-21-2-2-2-2-211-2112222-1-1-1-100000000000000002-22-200000000000000000-11-11
χ44444444-4-4-21-4-21-2-2-2-2-211-2112222-1-1-1-10000000000000000-22-22000000000000000001-11-1
χ454444-4-4441-2-41-21-1-1-11-2-2-12211-1-1-2-22200002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000000
χ464444-4-4441-2-41-21-1-1-11-2-2-12211-1-1-2-2220000−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000000
χ474444-4-444-21-4-21-2222-2112-1-1-2-22211-1-1000000000000000022-2-20000000000000000011-1-1
χ484444-4-444-21-4-21-2222-2112-1-1-2-22211-1-10000000000000000-2-22200000000000000000-1-111
χ494444-4-4-4-41-241-21-1-1-11-2-2-122-1-11122-2-200002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000000
χ504444-4-4-4-41-241-21-1-1-11-2-2-122-1-11122-2-20000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000000
χ514444-4-4-4-4-214-21-2222-2112-1-122-2-2-1-11100000000000000002-2-22000000000000000001-1-11
χ524444-4-4-4-4-214-21-2222-2112-1-122-2-2-1-1110000000000000000-222-200000000000000000-111-1
χ5344-4-4004-41-20-12-13-3312-2-3001-13-3-220000002-22-22-22-200000000-11-11-11-110000000000000
χ5444-4-4004-41-20-12-13-3312-2-3001-13-3-22000000-22-22-22-22000000001-11-11-11-10000000000000
χ5544-4-4004-41-20-12-1-33-312-23001-1-33-220000002i−2i−2i2i2i−2i−2i2i00000000−iii−i−iii−i0000000000000
χ5644-4-4004-41-20-12-1-33-312-23001-1-33-22000000−2i2i2i−2i−2i2i2i−2i00000000i−i−iii−i−ii0000000000000
χ5744-4-400-441-20-12-13-3312-2-300-11-332-20000002-22-2-22-2200000000-11-111-11-10000000000000
χ5844-4-400-441-20-12-13-3312-2-300-11-332-2000000-22-222-22-2000000001-11-1-11-110000000000000
χ5944-4-400-441-20-12-1-33-312-2300-113-32-20000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii0000000000000
χ6044-4-400-441-20-12-1-33-312-2300-113-32-2000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i0000000000000
χ614-4-440000440-4-44000-44-4000000000004i−4i−4i4i0000000000000000000000000000000000000
χ624-4-440000440-4-44000-44-400000000000−4i4i4i−4i0000000000000000000000000000000000000
χ6388-8-8008-8-4204-24000-4-22000-44002-20000000000000000000000000000000000000000000
χ6488-8-800-88-4204-24000-4-220004-400-220000000000000000000000000000000000000000000
χ658-88-88-8002-402-4-222-2-244-2-440000000000000000000000000000000000000000000000000
χ668-88-88-800-420-424-4-444-2-242-20000000000000000000000000000000000000000000000000
χ678-88-8-88002-402-4-2-2-22-24424-40000000000000000000000000000000000000000000000000
χ688-88-8-8800-420-42444-44-2-2-4-220000000000000000000000000000000000000000000000000
χ698-8-8800002-40-2426-6-6-2-446000000000000000000000000000000000000000000000000000
χ708-8-8800002-40-242-666-2-44-6000000000000000000000000000000000000000000000000000
χ718-8-880000-4204-2-400042-20000000006i−6i00000000000000000000000000000000000000000
χ728-8-880000-4204-2-400042-2000000000−6i6i00000000000000000000000000000000000000000

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