Finite Group Databasebeta

← Group #11775858

Character table — Group #11775858

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order12224444233666666121212121212121266661212121288888888444444244466121212121212242424242424242448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
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
χ5111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-1-1-111-1-111-1-1-1-111iiii−i−i−i−i1ii−i−i
χ6111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−i1−i−iii
χ7111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1-1-111-1-111-1-1-1-111−i−i−i−iiiii1−i−iii
χ8111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii1ii−i−i
χ91111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-11-11111-1-1-1-111-1-111-1-111-11-1
χ101111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-11-11-1-1-1-1111111-1-111-1-11-11-11
χ111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-11-11111-1-1-1-1-1-111-1-1111-11-11
χ121111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-1-1-1-11111-1-111-1-11111-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-111-1-11-1-1111-1-111-1-1ii−i−i−i−iii1i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-111-1-1-111-1-1-111-1-111ii−i−i−i−iii1−iii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-111-1-11-1-1111-1-111-1-1−i−iiiii−i−i1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-111-1-1-111-1-1-111-1-111−i−iiiii−i−i1i−i−ii
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-2-222222222-2-22222-2-2-2-2-2-222-2-200000000-2-2222200000000000000000000-20000
χ192222-2-222-22222222222-2-2-2-222-2-2-2-2-2-222000000002222-2-200000000000000000000-20000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-22200000000000000000000-20000
χ2122-2-22-200022-2-22-2-220022-2-20000002-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i2i−2i0000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000
χ2222-2-22-200022-2-22-2-220022-2-20000002-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i−2i2i0000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000
χ2322-2-22-200022-2-22-2-220022-2-20000002-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i−2i2i000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000
χ2422-2-22-200022-2-22-2-220022-2-20000002-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i2i−2i000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000
χ2522-2-2-2200022-2-22-2-2200-2-222000000-22001+i−1−i−1−i1+i1−i−1+i−1+i1−i00−2i2i2i−2i0000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000
χ2622-2-2-2200022-2-22-2-2200-2-222000000-22001−i−1+i−1+i1−i1+i−1−i−1−i1+i002i−2i−2i2i0000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000
χ2722-2-2-2200022-2-22-2-2200-2-222000000-2200−1+i1−i1−i−1+i−1−i1+i1+i−1−i002i−2i−2i2i000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000
χ2822-2-2-2200022-2-22-2-2200-2-222000000-2200−1−i1+i1+i−1−i−1+i1−i1−i−1+i00−2i2i2i−2i000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000
χ294444444441-2111-2-2-211-2-2-2-21111-2-211-2-222222222000000000000000000-1-1-1-1-1-1-1-100000
χ304444444441-2111-2-2-211-2-2-2-21111-2-211-2-2-2-2-2-2-2-2-2-20000000000000000001111111100000
χ31444444444-21-2-2-2111-2-21111-2-2-2-211-2-211000000000000002222-1-1-1-1-1-1-1-10000000000000
χ32444444444-21-2-2-2111-2-21111-2-2-2-211-2-21100000000000000-2-2-2-2111111110000000000000
χ33444444-4-4-41-2111-2-2-2-1-1-2-2-2-2-1-1-1-12211222i2i2i2i−2i−2i−2i−2i000000000000000000−i−i−i−iiiii00000
χ34444444-4-4-41-2111-2-2-2-1-1-2-2-2-2-1-1-1-1221122−2i−2i−2i−2i2i2i2i2i000000000000000000iiii−i−i−i−i00000
χ35444444-4-4-4-21-2-2-21112211112222-1-1-2-2-1-10000000000000022-2-2-1-11111-1-10000000000000
χ36444444-4-4-4-21-2-2-21112211112222-1-1-2-2-1-100000000000000-2-22211-1-1-1-1110000000000000
χ374444-4-444-41-2111-2-2-211222211-1-122-1-1-2-222-2-222-2-2000000000000000000-1-111-1-11100000
χ384444-4-444-41-2111-2-2-211222211-1-122-1-1-2-2-2-222-2-22200000000000000000011-1-111-1-100000
χ394444-4-444-4-21-2-2-2111-2-2-1-1-1-1-2-222-1-12211000000000000002-22-2-1-1-1-111110000000000000
χ404444-4-444-4-21-2-2-2111-2-2-1-1-1-1-2-222-1-1221100000000000000-22-221111-1-1-1-10000000000000
χ414444-4-4-4-441-2111-2-2-2-1-12222-1-111-2-2-1-1222i2i−2i−2i−2i−2i2i2i000000000000000000−i−iiiii−i−i00000
χ424444-4-4-4-441-2111-2-2-2-1-12222-1-111-2-2-1-122−2i−2i2i2i2i2i−2i−2i000000000000000000ii−i−i−i−iii00000
χ434444-4-4-4-44-21-2-2-211122-1-1-1-122-2-21122-1-1000000000000002-2-22-1-111-1-1110000000000000
χ444444-4-4-4-44-21-2-2-211122-1-1-1-122-2-21122-1-100000000000000-222-211-1-111-1-10000000000000
χ4544-4-44-40001-2-1-1122-233-2-222-3-33-3001-1002-22-22-22-2000000000000000000-11-11-11-1100000
χ4644-4-44-40001-2-1-1122-233-2-222-3-33-3001-100-22-22-22-220000000000000000001-11-11-11-100000
χ4744-4-44-40001-2-1-1122-2-3-3-2-22233-33001-1002i−2i2i−2i−2i2i−2i2i000000000000000000−ii−iii−ii−i00000
χ4844-4-44-40001-2-1-1122-2-3-3-2-22233-33001-100−2i2i−2i2i2i−2i2i−2i000000000000000000i−ii−i−ii−ii00000
χ4944-4-4-440001-2-1-1122-23322-2-2-3-3-3300-11002-2-222-2-22000000000000000000-111-1-111-100000
χ5044-4-4-440001-2-1-1122-23322-2-2-3-3-3300-1100-222-2-222-20000000000000000001-1-111-1-1100000
χ5144-4-4-440001-2-1-1122-2-3-322-2-2333-300-11002i−2i−2i2i−2i2i2i−2i000000000000000000−iii−ii−i−ii00000
χ5244-4-4-440001-2-1-1122-2-3-322-2-2333-300-1100−2i2i2i−2i2i−2i−2i2i000000000000000000i−i−ii−iii−i00000
χ534-44-400000444-4-44-4-40000000000000000000000004i−4i00000000000000000000000000000
χ544-44-400000444-4-44-4-4000000000000000000000000−4i4i00000000000000000000000000000
χ554-4-44004i−4i044-44-4-44-44i−4i00004i−4i0000004i−4i000000000000000000000000000000000000000
χ564-4-44004i−4i0-212-22-11-1−2i2i3i−3i3i−3i−2i2i003-300i−i000000000000000000−i3i33−3−i3i33−30000000000000
χ574-4-44004i−4i0-212-22-11-1−2i2i3i−3i3i−3i−2i2i003-300i−i000000000000000000i3−i3−33i3−i3−330000000000000
χ584-4-44004i−4i0-212-22-11-1−2i2i−3i3i−3i3i−2i2i00-3300i−i000000000000000000−i3i33−3i3−i3−330000000000000
χ594-4-44004i−4i0-212-22-11-1−2i2i−3i3i−3i3i−2i2i00-3300i−i000000000000000000i3−i3−33−i3i33−30000000000000
χ604-4-4400−4i4i044-44-4-44-4−4i4i0000−4i4i000000−4i4i000000000000000000000000000000000000000
χ614-4-4400−4i4i0-212-22-11-12i−2i3i−3i3i−3i2i−2i00-3300−ii000000000000000000−i3i3−33i3−i33−30000000000000
χ624-4-4400−4i4i0-212-22-11-12i−2i3i−3i3i−3i2i−2i00-3300−ii000000000000000000i3−i33−3−i3i3−330000000000000
χ634-4-4400−4i4i0-212-22-11-12i−2i−3i3i−3i3i2i−2i003-300−ii000000000000000000−i3i3−33−i3i3−330000000000000
χ644-4-4400−4i4i0-212-22-11-12i−2i−3i3i−3i3i2i−2i003-300−ii000000000000000000i3−i33−3i3−i33−30000000000000
χ6588-8-88-8000-4244-4-2-220022-2-2000000-4400000000000000000000000000000000000000000
χ6688-8-8-88000-4244-4-2-2200-2-2220000004-400000000000000000000000000000000000000000
χ678-88-8000002-42-2-2-4446i−6i0000−6i6i00000000000000000000000000000000000000000000000
χ688-88-8000002-42-2-2-444−6i6i00006i−6i00000000000000000000000000000000000000000000000
χ698-88-800000-42-4442-2-2006i−6i−6i6i0000000000000000000000000000000000000000000000000
χ708-88-800000-42-4442-2-200−6i6i6i−6i0000000000000000000000000000000000000000000000000
χ718-8-88008i−8i02-4-22-24-442i−2i00002i−2i000000−4i4i000000000000000000000000000000000000000
χ728-8-8800−8i8i02-4-22-24-44−2i2i0000−2i2i0000004i−4i000000000000000000000000000000000000000

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