Finite Group Databasebeta

← Group #11775217

Character table — Group #11775217

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order122222222336666666666666666666666444444444444442244666612121212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-11111iiii−i−i−i−i-1-1-1-11ii−i−i
χ6111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-111-1-1-1-1iiii−i−i−i−i11111−i−iii
χ7111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-11111−i−i−i−iiiii-1-1-1-11−i−iii
χ8111111-1-1-111111-1-1111111-1-1111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-111-1-1-1-1−i−i−i−iiiii11111ii−i−i
χ91111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-11-111-1-111-1-111-1-111-1-111-11-1
χ101111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-11-11-1-11111-1-111-1-1-1-1111-11-11
χ111111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-11-111-1-1-1-111-1-11111-1-11-11-11
χ121111-1-111-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-11-11-1-111-1-111-1-111-1-11111-11-1
χ131111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111ii−i−i−i−iii-1-111-1-11-1-1111-1-1ii−i−i−i−iii-1-1111i−i−ii
χ141111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111ii−i−i−i−iii-1-111-1-1-111-1-1-111ii−i−i−i−iii11-1-11−iii−i
χ151111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111−i−iiiii−i−i-1-111-1-11-1-1111-1-1−i−iiiii−i−i-1-1111−iii−i
χ161111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111−i−iiiii−i−i-1-111-1-1-111-1-1-111−i−iiiii−i−i11-1-11i−i−ii
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-2-222222-2-2222222-2-2222-2-2-2-2-2-200000000-2-2222200000000000000000000-20000
χ192222-2-222-2222222222-2-2-2-2222-2-2-2-222-2-2000000002222-2-200000000000000000000-20000
χ202222-2-2-2-2222222-2-222-2-2-2-2-2-22-2-222-2-2220000000022-2-22200000000000000000000-20000
χ2122-2-22-2000222-2-2002-222-2-200-22-20000001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000
χ2222-2-22-2000222-2-2002-222-2-200-22-20000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000
χ2322-2-22-2000222-2-2002-222-2-200-22-2000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000
χ2422-2-22-2000222-2-2002-222-2-200-22-2000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000
χ2522-2-2-22000222-2-2002-2-2-22200-2-220000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00−2i2i2i−2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000
χ2622-2-2-22000222-2-2002-2-2-22200-2-220000001−i−1+i−1+i1−i1+i−1−i−1−i1+i002i−2i−2i2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000
χ2722-2-2-22000222-2-2002-2-2-22200-2-22000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i002i−2i−2i2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000
χ2822-2-2-22000222-2-2002-2-2-22200-2-22000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00−2i2i2i−2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000
χ294444444441-211111-2-2-2-2-2-211-21111-2-2-2-22222222200000000000000-1-1-1-1-1-1-1-1000000000
χ304444444441-211111-2-2-2-2-2-211-21111-2-2-2-2-2-2-2-2-2-2-2-20000000000000011111111000000000
χ31444444444-21-2-2-2-2-2111111-2-21-2-2-2-21111000000000000002222-1-1-1-100000000-1-1-1-100000
χ32444444444-21-2-2-2-2-2111111-2-21-2-2-2-2111100000000000000-2-2-2-2111100000000111100000
χ33444444-4-4-41-2111-1-1-2-2-2-2-2-2-1-1-211-1-122222i2i2i2i−2i−2i−2i−2i00000000000000−i−i−i−iiiii000000000
χ34444444-4-4-41-2111-1-1-2-2-2-2-2-2-1-1-211-1-12222−2i−2i−2i−2i2i2i2i2i00000000000000iiii−i−i−i−i000000000
χ35444444-4-4-4-21-2-2-222111111221-2-222-1-1-1-10000000000000022-2-2-1-1-1-100000000111100000
χ36444444-4-4-4-21-2-2-222111111221-2-222-1-1-1-100000000000000-2-222111100000000-1-1-1-100000
χ374444-4-444-41-211111-2-2222211-2-1-1-1-1-2-22222-2-222-2-200000000000000-1-111-1-111000000000
χ384444-4-444-41-211111-2-2222211-2-1-1-1-1-2-222-2-222-2-2220000000000000011-1-111-1-1000000000
χ394444-4-444-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-1000000000000002-22-2-1-11100000000-1-11100000
χ404444-4-444-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-100000000000000-22-2211-1-10000000011-1-100000
χ414444-4-4-4-441-2111-1-1-2-22222-1-1-2-1-11122-2-22i2i−2i−2i−2i−2i2i2i00000000000000−i−iiiii−i−i000000000
χ424444-4-4-4-441-2111-1-1-2-22222-1-1-2-1-11122-2-2−2i−2i2i2i2i2i−2i−2i00000000000000ii−i−i−i−iii000000000
χ434444-4-4-4-44-21-2-2-22211-1-1-1-122122-2-2-1-111000000000000002-2-22-1-1110000000011-1-100000
χ444444-4-4-4-44-21-2-2-22211-1-1-1-122122-2-2-1-11100000000000000-222-211-1-100000000-1-11100000
χ4544-4-44-40001-21-1-133-22-2-222-3-321-13-300002-22-22-22-200000000000000-11-11-11-11000000000
χ4644-4-44-40001-21-1-133-22-2-222-3-321-13-30000-22-22-22-22000000000000001-11-11-11-1000000000
χ4744-4-44-40001-21-1-1-3-3-22-2-2223321-1-3300002i−2i2i−2i−2i2i−2i2i00000000000000−ii−iii−ii−i000000000
χ4844-4-44-40001-21-1-1-3-3-22-2-2223321-1-330000−2i2i−2i2i2i−2i2i−2i00000000000000i−ii−i−ii−ii000000000
χ4944-4-4-440001-21-1-133-2222-2-2-3-32-11-3300002-2-222-2-2200000000000000-111-1-111-1000000000
χ5044-4-4-440001-21-1-133-2222-2-2-3-32-11-330000-222-2-222-2000000000000001-1-111-1-11000000000
χ5144-4-4-440001-21-1-1-3-3-2222-2-2332-113-300002i−2i−2i2i−2i2i2i−2i00000000000000−iii−ii−i−ii000000000
χ5244-4-4-440001-21-1-1-3-3-2222-2-2332-113-30000−2i2i2i−2i2i−2i−2i2i00000000000000i−i−ii−iii−i000000000
χ534-44-4004-4044-44-44-4-4-400004-4400004-400000000000000000000000000000000000000000
χ544-44-4004-40-212-22-22-1-13-33-3-22100001-13-3000000000000000000−i3i3−i3i300000000−i3i3−i3i300000
χ554-44-4004-40-212-22-22-1-13-33-3-22100001-13-3000000000000000000i3−i3i3−i300000000i3−i3i3−i300000
χ564-44-4004-40-212-22-22-1-1-33-33-22100001-1-33000000000000000000−i3i3i3−i300000000−i3i3i3−i300000
χ574-44-4004-40-212-22-22-1-1-33-33-22100001-1-33000000000000000000i3−i3−i3i300000000i3−i3−i3i300000
χ584-44-400-44044-44-4-44-4-40000-4440000-4400000000000000000000000000000000000000000
χ594-44-400-440-212-222-2-1-13-33-32-210000-11-33000000000000000000−i3i3−i3i300000000i3−i3i3−i300000
χ604-44-400-440-212-222-2-1-13-33-32-210000-11-33000000000000000000i3−i3i3−i300000000−i3i3−i3i300000
χ614-44-400-440-212-222-2-1-1-33-332-210000-113-3000000000000000000−i3i3i3−i300000000i3−i3−i3i300000
χ624-44-400-440-212-222-2-1-1-33-332-210000-113-3000000000000000000i3−i3−i3i300000000−i3i3i3−i300000
χ634-4-440000044-4-4400-44000000-400000000000000004-400000000000000000000000000000
χ644-4-440000044-4-4400-44000000-40000000000000000-4400000000000000000000000000000
χ6588-8-88-8000-42-444002-222-2-200-2-44000000000000000000000000000000000000000000000
χ6688-8-8-88000-42-444002-2-2-22200-24-4000000000000000000000000000000000000000000000
χ678-88-8008-802-4-22-22-24400002-2-40000-4400000000000000000000000000000000000000000
χ688-88-800-8802-4-22-2-22440000-22-400004-400000000000000000000000000000000000000000
χ698-8-88000002-4-2-226-64-40000-66400000000000000000000000000000000000000000000000
χ708-8-88000002-4-2-22-664-400006-6400000000000000000000000000000000000000000000000
χ718-8-8800000-4244-400-226-6-6600-200000000000000000000000000000000000000000000000
χ728-8-8800000-4244-400-22-666-600-200000000000000000000000000000000000000000000000

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