Finite Group Databasebeta

← Group #11790823

Character table — Group #11790823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222444433446666661212121212121212121212121212121222442244666688881212121224242424242424244444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i1-1ii−i−iii−i−i
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111−ii−ii-1-1-1-1−i−iii−i−iii1-1−i−iii−i−iii
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i1-1−i−iii−i−iii
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii1-1ii−i−iii−i−i
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii-11ii−i−i−i−iii
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1−iii−i-1-111−i−iiiii−i−i-11−i−iiiii−i−i
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii-11−i−iiiii−i−i
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-111−iii−i11-1-1−i−iiiii−i−i-11ii−i−i−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2000000000000000000000000-2200000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000002-200000000
χ212-2-2222-2-222002-2-2-2-222222-2-2-2-2000000002-22-20000000000000000000000000000002i−2i2i−2i
χ222-2-2222-2-222002-2-2-2-222222-2-2-2-2000000002-22-2000000000000000000000000000000−2i2i−2i2i
χ232-2-2222-2-222002-2-2-2-222222-2-2-2-200000000-22-22000000000000000000000000002i−2i2i−2i0000
χ242-2-2222-2-222002-2-2-2-222222-2-2-2-200000000-22-2200000000000000000000000000−2i2i−2i2i0000
χ252-2-22-2-22222002-2-2-2-22-2-2-2-22222000000002-2-22000000000000000000000000002-2-220000
χ262-2-22-2-22222002-2-2-2-22-2-2-2-22222000000002-2-2200000000000000000000000000-222-20000
χ272-2-22-2-22222002-2-2-2-22-2-2-2-2222200000000-222-20000000000000000000000000000002-2-22
χ282-2-22-2-22222002-2-2-2-22-2-2-2-2222200000000-222-2000000000000000000000000000000-222-2
χ29444444441-244111-2-2-211-2-2-2-21111-2-211-2-200000000000022220000-1-1-1-1-1-1-1-10000000000
χ30444444441-244111-2-2-211-2-2-2-21111-2-211-2-2000000000000-2-2-2-20000111111110000000000
χ31444444441-2-4-4111-2-2-211-2-2-2-211-1-122-1-12200000000000022-2-20000-1-1-1-111110000000000
χ32444444441-2-4-4111-2-2-211-2-2-2-211-1-122-1-122000000000000-2-22200001111-1-1-1-10000000000
χ3344444444-2144-2-2-2111-2-21111-2-2-2-211-2-21100002222-1-1-1-10000-1-1-1-1000000000000000000
χ3444444444-2144-2-2-2111-2-21111-2-2-2-211-2-2110000-2-2-2-2111100001111000000000000000000
χ3544444444-21-4-4-2-2-2111-2-21111-2-222-1-122-1-100002-22-2-1-1110000-1-111000000000000000000
χ3644444444-21-4-4-2-2-2111-2-21111-2-222-1-122-1-10000-22-2211-1-1000011-1-1000000000000000000
χ374444-4-4-4-41-24-4111-2-2-2-1-12222-1-111-2-2-1-1220000000000002i−2i2i−2i0000−i−iii−i−iii0000000000
χ384444-4-4-4-41-24-4111-2-2-2-1-12222-1-111-2-2-1-122000000000000−2i2i−2i2i0000ii−i−iii−i−i0000000000
χ394444-4-4-4-41-2-44111-2-2-2-1-12222-1-1-1-12211-2-20000000000002i−2i−2i2i0000−i−iiiii−i−i0000000000
χ404444-4-4-4-41-2-44111-2-2-2-1-12222-1-1-1-12211-2-2000000000000−2i2i2i−2i0000ii−i−i−i−iii0000000000
χ414444-4-4-4-4-214-4-2-2-211122-1-1-1-122-2-21122-1-1000022-2-2-1-1-1-100001111000000000000000000
χ424444-4-4-4-4-214-4-2-2-211122-1-1-1-122-2-21122-1-10000-2-22211110000-1-1-1-1000000000000000000
χ434444-4-4-4-4-21-44-2-2-211122-1-1-1-12222-1-1-2-21100002-2-22-1-111000011-1-1000000000000000000
χ444444-4-4-4-4-21-44-2-2-211122-1-1-1-12222-1-1-2-2110000-222-211-1-10000-1-111000000000000000000
χ4544-4-44i−4i4i−4i1-200-11-12-22i−i2i−2i2i−2ii−i3i−3i003-30000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ4644-4-44i−4i4i−4i1-200-11-12-22i−i2i−2i2i−2ii−i3i−3i003-30000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ4744-4-44i−4i4i−4i1-200-11-12-22i−i2i−2i2i−2ii−i−3i3i00-330000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ4844-4-44i−4i4i−4i1-200-11-12-22i−i2i−2i2i−2ii−i−3i3i00-330000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ4944-4-44i−4i4i−4i4400-44-4-44-44i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5044-4-4−4i4i−4i4i1-200-11-12-22−ii−2i2i−2i2i−ii3i−3i00-330000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ5144-4-4−4i4i−4i4i1-200-11-12-22−ii−2i2i−2i2i−ii3i−3i00-330000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ5244-4-4−4i4i−4i4i1-200-11-12-22−ii−2i2i−2i2i−ii−3i3i003-30000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ5344-4-4−4i4i−4i4i1-200-11-12-22−ii−2i2i−2i2i−ii−3i3i003-30000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ5444-4-4−4i4i−4i4i4400-44-4-44-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000
χ554-44-44i−4i−4i4i4400-4-444-4-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000
χ564-44-44i−4i−4i4i-210022-21-1-1−2i2i−iii−i2i−2i003-3003i−3i00000000−i3i3−i3i300003−33−3000000000000000000
χ574-44-44i−4i−4i4i-210022-21-1-1−2i2i−iii−i2i−2i003-3003i−3i00000000i3−i3i3−i30000−33−33000000000000000000
χ584-44-44i−4i−4i4i-210022-21-1-1−2i2i−iii−i2i−2i00-3300−3i3i00000000−i3i3i3−i300003−3−33000000000000000000
χ594-44-44i−4i−4i4i-210022-21-1-1−2i2i−iii−i2i−2i00-3300−3i3i00000000i3−i3−i3i30000−333−3000000000000000000
χ604-44-4−4i4i4i−4i4400-4-444-4-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000
χ614-44-4−4i4i4i−4i-210022-21-1-12i−2ii−i−ii−2i2i003-300−3i3i00000000−i3i3−i3i30000−33−33000000000000000000
χ624-44-4−4i4i4i−4i-210022-21-1-12i−2ii−i−ii−2i2i003-300−3i3i00000000i3−i3i3−i300003−33−3000000000000000000
χ634-44-4−4i4i4i−4i-210022-21-1-12i−2ii−i−ii−2i2i00-33003i−3i00000000−i3i3i3−i30000−333−3000000000000000000
χ644-44-4−4i4i4i−4i-210022-21-1-12i−2ii−i−ii−2i2i00-33003i−3i00000000i3−i3−i3i300003−3−33000000000000000000
χ6588-8-88i−8i8i−8i-42004-44-22-2−4i4i−2i2i−2i2i−4i4i0000000000000000000000000000000000000000000000
χ6688-8-8−8i8i−8i8i-42004-44-22-24i−4i2i−2i2i−2i4i−4i0000000000000000000000000000000000000000000000
χ678-88-88i−8i−8i8i2-400-2-22-4442i−2i4i−4i−4i4i−2i2i0000000000000000000000000000000000000000000000
χ688-88-8−8i8i8i−8i2-400-2-22-444−2i2i−4i4i4i−4i2i−2i0000000000000000000000000000000000000000000000
χ698-8-8888-8-82-4002-2-244-422-4-444-2-20000000000000000000000000000000000000000000000
χ708-8-8888-8-8-4200-444-2-22-4-422-2-2440000000000000000000000000000000000000000000000
χ718-8-88-8-8882-4002-2-244-4-2-244-4-4220000000000000000000000000000000000000000000000
χ728-8-88-8-888-4200-444-2-2244-2-222-4-40000000000000000000000000000000000000000000000

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