Finite Group Databasebeta

← Group #11784806

Character table — Group #11784806

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222444444444444444448888888899991212121212121212121212121212121218181818242424242424242424242424242424243672727272
order122222222336666666666666666666666444422224444444444444444666612121212121212121212121248888
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
χ5111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1ii−i−i
χ6111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii1−i−iii
χ7111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i1−i−iii
χ8111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii1ii−i−i
χ91111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-11-1
χ101111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-11-11
χ111111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11-11
χ121111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-11-11-1
χ131111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111ii−i−i−i−iii-1i−i−ii
χ141111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111−i−iiiii−i−i-1−iii−i
χ151111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111-1-11111-1-1ii−i−i−i−iii-1−iii−i
χ161111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111-1-11111-1-1−i−iiiii−i−i-1i−i−ii
χ17222222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-20000
χ18222222-2-2-222222-2-2222222-2-2222-2-2-2-2-2-222220000000000000000-2-2220000000000000000-20000
χ192222-2-222-2222222222-2-2-2-2222-2-2-2-222-2-2-2-2-2-20000000000000000-2-222000000000000000020000
χ202222-2-2-2-2222222-2-222-2-2-2-2-2-22-2-222-2-22222220000000000000000-2-2-2-2000000000000000020000
χ2122-2-22-2000222-2-2002-222-2-200-22-20000002i2i−2i−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
χ2222-2-22-2000222-2-2002-222-2-200-22-20000002i2i−2i−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
χ2322-2-22-2000222-2-2002-222-2-200-22-2000000−2i−2i2i2i000000001−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
χ2422-2-22-2000222-2-2002-222-2-200-22-2000000−2i−2i2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000
χ2522-2-2-22000222-2-2002-2-2-22200-2-220000002i2i−2i−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
χ2622-2-2-22000222-2-2002-2-2-22200-2-220000002i2i−2i−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
χ2722-2-2-22000222-2-2002-2-2-22200-2-22000000−2i−2i2i2i000000001−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
χ2822-2-2-22000222-2-2002-2-2-22200-2-22000000−2i−2i2i2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i002i−2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000
χ292-2-22002-2022-22-22-2-2-200002-2200002-2002-22-2002-2002-2000000002-200002-2002-20000000000000
χ302-2-22002-2022-22-22-2-2-200002-2200002-2002-22-200-2200-22000000002-20000-2200-220000000000000
χ312-2-22002-2022-22-22-2-2-200002-2200002-200-22-222-2002-20000000000-22002-2002-2000000000000000
χ322-2-22002-2022-22-22-2-2-200002-2200002-200-22-22-2200-220000000000-2200-2200-22000000000000000
χ332-2-2200-22022-22-2-22-2-20000-2220000-22002-22-22-200-220000000000-22002-200-22000000000000000
χ342-2-2200-22022-22-2-22-2-20000-2220000-22002-22-2-22002-20000000000-2200-22002-2000000000000000
χ352-2-2200-22022-22-2-22-2-20000-2220000-2200-22-22002-200-22000000002-200002-200-220000000000000
χ362-2-2200-22022-22-2-22-2-20000-2220000-2200-22-2200-22002-2000000002-20000-22002-20000000000000
χ374444444441-211111-2-2-2-2-2-211-21111-2-2-2-200000000000022222222000000000000-1-1-1-1-1-1-1-100000
χ384444444441-211111-2-2-2-2-2-211-21111-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000001111111100000
χ39444444444-21-2-2-2-2-2111111-2-21-2-2-2-21111000022222222000000000000-1-1-1-1-1-1-1-10000000000000
χ40444444444-21-2-2-2-2-2111111-2-21-2-2-2-211110000-2-2-2-2-2-2-2-2000000000000111111110000000000000
χ41444444-4-4-41-2111-1-1-2-2-2-2-2-2-1-1-211-1-122220000000000002i2i2i2i−2i−2i−2i−2i000000000000−i−i−i−iiiii00000
χ42444444-4-4-41-2111-1-1-2-2-2-2-2-2-1-1-211-1-12222000000000000−2i−2i−2i−2i2i2i2i2i000000000000iiii−i−i−i−i00000
χ43444444-4-4-4-21-2-2-222111111221-2-222-1-1-1-100002222-2-2-2-2000000000000-1-1-1-111110000000000000
χ44444444-4-4-4-21-2-2-222111111221-2-222-1-1-1-10000-2-2-2-222220000000000001111-1-1-1-10000000000000
χ454444-4-444-41-211111-2-2222211-2-1-1-1-1-2-22200000000000022-2-222-2-2000000000000-1-111-1-11100000
χ464444-4-444-41-211111-2-2222211-2-1-1-1-1-2-222000000000000-2-222-2-22200000000000011-1-111-1-100000
χ474444-4-444-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-1000022-2-222-2-2000000000000-1-111-1-1110000000000000
χ484444-4-444-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-10000-2-222-2-22200000000000011-1-111-1-10000000000000
χ494444-4-4-4-441-2111-1-1-2-22222-1-1-2-1-11122-2-20000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000
χ504444-4-4-4-441-2111-1-1-2-22222-1-1-2-1-11122-2-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000
χ514444-4-4-4-44-21-2-2-22211-1-1-1-122122-2-2-1-111000022-2-2-2-222000000000000-1-11111-1-10000000000000
χ524444-4-4-4-44-21-2-2-22211-1-1-1-122122-2-2-1-1110000-2-22222-2-200000000000011-1-1-1-1110000000000000
χ5344-4-44-40001-21-1-133-22-2-222-3-321-13-300000000000000002-22-22-22-2000000000000-11-11-11-1100000
χ5444-4-44-40001-21-1-133-22-2-222-3-321-13-30000000000000000-22-22-22-220000000000001-11-11-11-100000
χ5544-4-44-40001-21-1-1-3-3-22-2-2223321-1-3300000000000000002i−2i2i−2i−2i2i−2i2i000000000000−ii−iii−ii−i00000
χ5644-4-44-40001-21-1-1-3-3-22-2-2223321-1-330000000000000000−2i2i−2i2i2i−2i2i−2i000000000000i−ii−i−ii−ii00000
χ5744-4-4-440001-21-1-133-2222-2-2-3-32-11-3300000000000000002-2-222-2-22000000000000-111-1-111-100000
χ5844-4-4-440001-21-1-133-2222-2-2-3-32-11-330000000000000000-222-2-222-20000000000001-1-111-1-1100000
χ5944-4-4-440001-21-1-1-3-3-2222-2-2332-113-300000000000000002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii00000
χ6044-4-4-440001-21-1-1-3-3-2222-2-2332-113-30000000000000000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i00000
χ614-44-40000044-4-4400-44000000-4000000004i−4i−4i4i00000000000000000000000000000000000000000
χ624-44-40000044-4-4400-44000000-400000000−4i4i4i−4i00000000000000000000000000000000000000000
χ634-4-44004-40-212-22-22-1-13-33-3-22100001-13-300002-22-22-22-2000000000000-11-11-11-110000000000000
χ644-4-44004-40-212-22-22-1-13-33-3-22100001-13-30000-22-22-22-220000000000001-11-11-11-10000000000000
χ654-4-44004-40-212-22-22-1-1-33-33-22100001-1-3300002-2-222-2-22000000000000-111-1-111-10000000000000
χ664-4-44004-40-212-22-22-1-1-33-33-22100001-1-330000-222-2-222-20000000000001-1-111-1-110000000000000
χ674-4-4400-440-212-222-2-1-13-33-32-210000-11-3300002-22-2-22-22000000000000-11-111-11-10000000000000
χ684-4-4400-440-212-222-2-1-13-33-32-210000-11-330000-22-222-22-20000000000001-11-1-11-110000000000000
χ694-4-4400-440-212-222-2-1-1-33-332-210000-113-300002-2-22-222-2000000000000-111-11-1-110000000000000
χ704-4-4400-440-212-222-2-1-1-33-332-210000-113-30000-222-22-2-220000000000001-1-11-111-10000000000000
χ7188-8-88-8000-42-444002-222-2-200-2-44000000000000000000000000000000000000000000000000000
χ7288-8-8-88000-42-444002-2-2-22200-24-4000000000000000000000000000000000000000000000000000
χ738-88-8000002-4-2-226-64-40000-66400000000000000000000000000000000000000000000000000000
χ748-88-8000002-4-2-22-664-400006-6400000000000000000000000000000000000000000000000000000
χ758-88-800000-4244-400-226-6-6600-200000000000000000000000000000000000000000000000000000
χ768-88-800000-4244-400-22-666-600-200000000000000000000000000000000000000000000000000000
χ778-8-88008-802-4-22-22-24400002-2-40000-4400000000000000000000000000000000000000000000000
χ788-8-8800-8802-4-22-2-22440000-22-400004-400000000000000000000000000000000000000000000000

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