Finite Group Databasebeta

← Group #11771034

Character table — Group #11771034

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888888888888888888888181818181818363636363636363636727272727272
order1222444423366666612121212121212126666881212121224242424242424242424242424242424224444288888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-111-1-111-1-1i−ii−ii−i
χ10111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-111-1-111i−i−ii−ii
χ11111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111ii−i−i−i−iii−ii-111-1
χ12111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111−i−iiiii−i−i−ii1-1-11
χ13111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-111-1-111-1-1−ii−ii−ii
χ14111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-111-1-111−iii−ii−i
χ15111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111ii−i−i−i−iiii−i1-1-11
χ16111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111−i−iiiii−i−ii−i-111-1
χ172222-2-222-22222222222222222-2-2-2-200-2-2-2-2000000000000000022-2-222-200000000000000
χ182222-2-222-22222222222222222-2-2-2-200-2-2-2-20000000000000000-2-222-2-2200000000000000
χ192222-2-2-2-2222222222-2-2-2-2-2-2-2-2222200-2-2-2-2000000000000000022-2-2-2-2200000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2222200-2-2-2-20000000000000000-2-22222-200000000000000
χ2122-2-2002i−2i02222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000002-2002i−2i02−2−i2i22−2−i2i2000000
χ2222-2-2002i−2i02222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000002-2002i−2i0−22i2−i2−22i2−i2000000
χ2322-2-2002i−2i02222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000-2200−2i2i0−i2i2−22i2−i22−2000000
χ2422-2-2002i−2i02222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000-2200−2i2i0i2−i22−2−i2i2−22000000
χ2522-2-200−2i2i02222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000002-200−2i2i02−2i2−i22−2i2−i2000000
χ2622-2-200−2i2i02222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000002-200−2i2i0−22−i2i2−22−i2i2000000
χ2722-2-200−2i2i02222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-22002i−2i0−i2i22−2i2−i2−22000000
χ2822-2-200−2i2i02222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-22002i−2i0i2−i2−22−i2i22−2000000
χ294444444441-21-21-21-211-2-211-2-211-2-24411-2-21111-2-2-2-21111-2-2-2-2000000000000000000000
χ304444444441-21-21-21-211-2-211-2-211-2-2-4-411-2-2-1-1-1-12222-1-1-1-12222000000000000000000000
χ31444444444-21-21-21-21-2-211-2-211-2-21144-2-211-2-2-2-21111-2-2-2-21111000000000000000000000
χ32444444444-21-21-21-21-2-211-2-211-2-211-4-4-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000
χ33444444-4-4-41-21-21-21-2-1-122-1-122-1-1224i−4i11-2-2iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i000000000000000000000
χ34444444-4-4-41-21-21-21-2-1-122-1-122-1-122−4i4i11-2-2−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i000000000000000000000
χ35444444-4-4-4-21-21-21-2122-1-122-1-122-1-14i−4i-2-211−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000
χ36444444-4-4-4-21-21-21-2122-1-122-1-122-1-1−4i4i-2-2112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000
χ374444-4-444-41-21-21-21-211-2-211-2-2-1-12200-1-12233-3-3000033-3-30000000000000000000000000
χ384444-4-444-41-21-21-21-211-2-211-2-2-1-12200-1-122-3-3330000-3-3330000000000000000000000000
χ394444-4-444-4-21-21-21-21-2-211-2-21122-1-10022-1-1000033-3-3000033-3-3000000000000000000000
χ404444-4-444-4-21-21-21-21-2-211-2-21122-1-10022-1-10000-3-3330000-3-333000000000000000000000
χ414444-4-4-4-441-21-21-21-2-1-122-1-12211-2-200-1-1223i3i−3i−3i0000−3i−3i3i3i0000000000000000000000000
χ424444-4-4-4-441-21-21-21-2-1-122-1-12211-2-200-1-122−3i−3i3i3i00003i3i−3i−3i0000000000000000000000000
χ434444-4-4-4-44-21-21-21-2122-1-122-1-1-2-2110022-1-100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000
χ444444-4-4-4-44-21-21-21-2122-1-122-1-1-2-2110022-1-10000−3i−3i3i3i00003i3i−3i−3i000000000000000000000
χ454-44-44i−4i0001-2-121-2-123i−3i003i−3i003-30000i−i2i−2iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ236−6i6−i6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ136−6i6−i6000000000000000000000
χ464-44-44i−4i0001-2-121-2-123i−3i003i−3i003-30000i−i2i−2i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−66−i6i6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−66−i6i6000000000000000000000
χ474-44-44i−4i0001-2-121-2-12−3i3i00−3i3i00-330000i−i2i−2i−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−i6i66−6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i6−i6−66000000000000000000000
χ484-44-44i−4i0001-2-121-2-12−3i3i00−3i3i00-330000i−i2i−2iζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13i6−i6−66−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i6i66−6000000000000000000000
χ494-44-44i−4i00044-4-444-4-4000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ504-44-44i−4i000-212-1-212-1003i−3i003i−3i003-300−2i2i−ii6−6−i6i6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ136−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000
χ514-44-44i−4i000-212-1-212-1003i−3i003i−3i003-300−2i2i−ii−66i6−i6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000
χ524-44-44i−4i000-212-1-212-100−3i3i00−3i3i00-3300−2i2i−iii6−i66−6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000
χ534-44-44i−4i000-212-1-212-100−3i3i00−3i3i00-3300−2i2i−ii−i6i6−66ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000
χ544-44-4−4i4i0001-2-121-2-123i−3i003i−3i00-330000−ii−2i2iζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i6−i66−6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−i6i6−66000000000000000000000
χ554-44-4−4i4i0001-2-121-2-123i−3i003i−3i00-330000−ii−2i2i−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i6i6−66ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13i6−i66−6000000000000000000000
χ564-44-4−4i4i0001-2-121-2-12−3i3i00−3i3i003-30000−ii−2i2i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ136−6−i6i6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ236−6−i6i6000000000000000000000
χ574-44-4−4i4i0001-2-121-2-12−3i3i00−3i3i003-30000−ii−2i2iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−66i6−i6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−66i6−i6000000000000000000000
χ584-44-4−4i4i00044-4-444-4-400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ594-44-4−4i4i000-212-1-212-1003i−3i003i−3i00-33002i−2ii−ii6−i6−66−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000
χ604-44-4−4i4i000-212-1-212-1003i−3i003i−3i00-33002i−2ii−i−i6i66−6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000
χ614-44-4−4i4i000-212-1-212-100−3i3i00−3i3i003-3002i−2ii−i6−6i6−i6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000
χ624-44-4−4i4i000-212-1-212-100−3i3i00−3i3i003-3002i−2ii−i−66−i6i6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000
χ634-4-440000044-4-4-4-4440000000000000000000000000000000000004-400000000000000000
χ644-4-440000044-4-4-4-444000000000000000000000000000000000000-4400000000000000000
χ6588-8-8008i−8i02-42-4-24-242i2i−4i−4i−2i−2i4i4i00000000000000000000000000000000000000000000000
χ6688-8-8008i−8i0-42-424-24-2−4i−4i2i2i4i4i−2i−2i00000000000000000000000000000000000000000000000
χ6788-8-800−8i8i02-42-4-24-24−2i−2i4i4i2i2i−4i−4i00000000000000000000000000000000000000000000000
χ6888-8-800−8i8i0-42-424-24-24i4i−2i−2i−4i−4i2i2i00000000000000000000000000000000000000000000000
χ698-8-88000002-4-24-242-46-600-660000000000000000000000000000000000000000000000000
χ708-8-88000002-4-24-242-4-66006-60000000000000000000000000000000000000000000000000
χ718-8-8800000-424-24-2-42006-600-6600000000000000000000000000000000000000000000000
χ728-8-8800000-424-24-2-4200-66006-600000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.