Finite Group Databasebeta

← Group #11771101

Character table — Group #11771101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222444444444444444448888888899991212121212121212121212121212121218181818242424242424242424242424242424243672727272
order1222222223366666666666666666666664444444444444444444444441212121212121212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1ii−i−i
χ6111111-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii1−i−iii
χ7111111-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i1−i−iii
χ8111111-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii1ii−i−i
χ91111-1-111-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1-1-111ii−i−iii−i−i11-1-111-1-11i−ii−i
χ101111-1-111-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111-1-111ii−i−iii−i−i-1-111-1-1111−ii−ii
χ111111-1-111-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1-1-111−i−iii−i−iii11-1-111-1-11−ii−ii
χ121111-1-111-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111-1-111−i−iii−i−iii-1-111-1-1111i−ii−i
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii1-111-1
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-11
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i1-111-1
χ17222222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-20000
χ18222222-2-2-22222222222-2-222-2-222-2-2-2-2-2-222220000000000000000-2-2220000000000000000-20000
χ192222-2-222-222222222-2-222-2-222-2-222-2-2-2-22222000000000000000022-2-20000000000000000-20000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022220000000000000000-20000
χ2122-2-2002-202222-2-2-2-2002-2002-2002-200002i2i−2i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i000000002i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000
χ2222-2-2002-202222-2-2-2-2002-2002-2002-200002i2i−2i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000002i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000000
χ2322-2-2002-202222-2-2-2-2002-2002-2002-20000−2i−2i2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000
χ2422-2-2002-202222-2-2-2-2002-2002-2002-20000−2i−2i2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000
χ2522-2-200-2202222-2-2-2-200-2200-2200-2200002i2i−2i−2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i00000000−2i2i001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000000000000
χ2622-2-200-2202222-2-2-2-200-2200-2200-2200002i2i−2i−2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i00000000−2i2i00−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000000000000
χ2722-2-200-2202222-2-2-2-200-2200-2200-220000−2i−2i2i2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i000000002i−2i001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000000000000
χ2822-2-200-2202222-2-2-2-200-2200-2200-220000−2i−2i2i2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000002i−2i00−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000000000000
χ292-22-22-200022-2-222-2-22-2002-2002-20000002i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000
χ302-22-22-200022-2-222-2-22-2002-2002-20000002i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000
χ312-22-22-200022-2-222-2-22-2002-2002-2000000−2i2i−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000
χ322-22-22-200022-2-222-2-22-2002-2002-2000000−2i2i−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000
χ332-22-2-2200022-2-222-2-2-2200-2200-220000002i−2i2i−2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00−2i2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000
χ342-22-2-2200022-2-222-2-2-2200-2200-220000002i−2i2i−2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00−2i2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000
χ352-22-2-2200022-2-222-2-2-2200-2200-22000000−2i2i−2i2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i002i−2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000
χ362-22-2-2200022-2-222-2-2-2200-2200-22000000−2i2i−2i2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i002i−2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000
χ374444444441-21-21-21-211-2-211-2-2-2-21111-2-2000022222222000000000000-1-1-1-1-1-1-1-10000000000000
χ384444444441-21-21-21-211-2-211-2-2-2-21111-2-20000-2-2-2-2-2-2-2-2000000000000111111110000000000000
χ39444444444-21-21-21-21-2-211-2-21111-2-2-2-21100000000000022222222000000000000-1-1-1-1-1-1-1-100000
χ40444444444-21-21-21-21-2-211-2-21111-2-2-2-211000000000000-2-2-2-2-2-2-2-20000000000001111111100000
χ41444444-4-4-41-21-21-21-211221122-2-2-1-1-1-12200002222-2-2-2-2000000000000-1-1-1-111110000000000000
χ42444444-4-4-41-21-21-21-211221122-2-2-1-1-1-1220000-2-2-2-222220000000000001111-1-1-1-10000000000000
χ43444444-4-4-4-21-21-21-21-2-2-1-1-2-2-1-1112222-1-10000000000002i2i2i2i−2i−2i−2i−2i000000000000−i−i−i−iiiii00000
χ44444444-4-4-4-21-21-21-21-2-2-1-1-2-2-1-1112222-1-1000000000000−2i−2i−2i−2i2i2i2i2i000000000000iiii−i−i−i−i00000
χ454444-4-444-41-21-21-21-2-1-1-2-2-1-1-2-22211-1-12200002i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii0000000000000
χ464444-4-444-41-21-21-21-2-1-1-2-2-1-1-2-22211-1-1220000−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i0000000000000
χ474444-4-444-4-21-21-21-2122112211-1-1-2-222-1-100000000000022-2-222-2-2000000000000-1-111-1-11100000
χ484444-4-444-4-21-21-21-2122112211-1-1-2-222-1-1000000000000-2-222-2-22200000000000011-1-111-1-100000
χ494444-4-4-4-441-21-21-21-2-1-122-1-12222-1-111-2-200002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i0000000000000
χ504444-4-4-4-441-21-21-21-2-1-122-1-12222-1-111-2-20000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii0000000000000
χ514444-4-4-4-44-21-21-21-2122-1-122-1-1-1-122-2-2110000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000
χ524444-4-4-4-44-21-21-21-2122-1-122-1-1-1-122-2-211000000000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000
χ5344-4-4004-401-21-2-12-1233-22-3-3-22001-13-30000002-22-22-22-2000000000000-11-11-11-110000000000000
χ5444-4-4004-401-21-2-12-1233-22-3-3-22001-13-3000000-22-22-22-220000000000001-11-11-11-10000000000000
χ5544-4-4004-401-21-2-12-12-3-3-2233-22001-1-330000002i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i0000000000000
χ5644-4-4004-401-21-2-12-12-3-3-2233-22001-1-33000000−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii0000000000000
χ5744-4-400-4401-21-2-12-12332-2-3-32-200-11-330000002-22-2-22-22000000000000-11-111-11-10000000000000
χ5844-4-400-4401-21-2-12-12332-2-3-32-200-11-33000000-22-222-22-20000000000001-11-1-11-110000000000000
χ5944-4-400-4401-21-2-12-12-3-32-2332-200-113-30000002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii0000000000000
χ6044-4-400-4401-21-2-12-12-3-32-2332-200-113-3000000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i0000000000000
χ614-44-44-4000-212-1-212-1-2233-22-3-31-100003-30000000000002-22-22-22-2000000000000-11-11-11-1100000
χ624-44-44-4000-212-1-212-1-2233-22-3-31-100003-3000000000000-22-22-22-220000000000001-11-11-11-100000
χ634-44-44-4000-212-1-212-1-22-3-3-22331-10000-330000000000002i−2i2i−2i−2i2i−2i2i000000000000−ii−iii−ii−i00000
χ644-44-44-4000-212-1-212-1-22-3-3-22331-10000-33000000000000−2i2i−2i2i2i−2i2i−2i000000000000i−ii−i−ii−ii00000
χ654-44-4-44000-212-1-212-12-2332-2-3-3-110000-330000000000002-2-222-2-22000000000000-111-1-111-100000
χ664-44-4-44000-212-1-212-12-2332-2-3-3-110000-33000000000000-222-2-222-20000000000001-1-111-1-1100000
χ674-44-4-44000-212-1-212-12-2-3-32-233-1100003-30000000000002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii00000
χ684-44-4-44000-212-1-212-12-2-3-32-233-1100003-3000000000000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i00000
χ694-4-440000044-4-4-4-44400000000000000004-4-4400000000000000000000000000000000000000000
χ704-4-440000044-4-4-4-4440000000000000000-444-400000000000000000000000000000000000000000
χ7188-8-8008-80-42-424-24-2002-2002-200-440000000000000000000000000000000000000000000000000
χ7288-8-800-880-42-424-24-200-2200-22004-40000000000000000000000000000000000000000000000000
χ738-88-88-80002-4-242-4-242-2002-200-44000000000000000000000000000000000000000000000000000
χ748-88-8-880002-4-242-4-24-2200-22004-4000000000000000000000000000000000000000000000000000
χ758-8-88000002-4-24-242-46-600-660000000000000000000000000000000000000000000000000000000
χ768-8-88000002-4-24-242-4-66006-60000000000000000000000000000000000000000000000000000000
χ778-8-8800000-424-24-2-42006-600-6600000000000000000000000000000000000000000000000000000
χ788-8-8800000-424-24-2-4200-66006-600000000000000000000000000000000000000000000000000000

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