Finite Group Databasebeta

← Group #11785129

Character table — Group #11785129

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order1222444433466666612121212121212121212121212121212222244442244446666888812121212242424242424242448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1
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
χ511111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-11111-1-1-1-1-111-1-1
χ611111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1-111
χ711111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-111
χ811111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1111111-1-1-1-11111-111-1-1
χ91111-111-111-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-111-111-1-1i−ii−i11-1-1ii−i−iii−i−i-1i−ii−i
χ101111-111-111-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-111-111-1-1−ii−ii11-1-1−i−iii−i−iii-1−ii−ii
χ111111-111-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-111-1-1-111i−ii−i-1-111ii−i−iii−i−i-1−ii−ii
χ121111-111-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-111-1-1-111−ii−ii-1-111−i−iii−i−iii-1i−ii−i
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1i−i−ii-1-111ii−i−i−i−iii1i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1−iii−i-1-111−i−iiiii−i−i1−iii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111i−i−ii11-1-1ii−i−i−i−iii1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111−iii−i11-1-1−i−iiiii−i−i1i−i−ii
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ1822222-2-2222-222222222-2-2-2-22222-2-2-2-2-2-200000000-2-2-222-20000000000000000000020000
χ192222-222-222-2222222-2-22222-2-2-2-222-2-2-2-200000000-2-22-2-220000000000000000000020000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2222200000000000000000000-20000
χ2122-2-2200-22202-2-22-2-2220000-2-22-200000000002i−2i2i−2i2-2-2002000000002i−2i2i−2i0000000000000
χ2222-2-2200-22202-2-22-2-2220000-2-22-20000000000−2i2i−2i2i2-2-200200000000−2i2i−2i2i0000000000000
χ2322-2-2200-22202-2-22-2-2220000-2-22-20000002-22-20000-22200-22-22-2000000000000000000000
χ2422-2-2200-22202-2-22-2-2220000-2-22-2000000-22-220000-22200-2-22-22000000000000000000000
χ2522-2-2-20022202-2-22-2-2-2-2000022-2200000000002i−2i−2i2i2-2200-2000000002i−2i−2i2i0000000000000
χ2622-2-2-20022202-2-22-2-2-2-2000022-220000000000−2i2i2i−2i2-2200-200000000−2i2i2i−2i0000000000000
χ2722-2-2-20022202-2-22-2-2-2-2000022-220000002-2-220000-22-20022-2-22000000000000000000000
χ2822-2-2-20022202-2-22-2-2-2-2000022-22000000-222-20000-22-2002-222-2000000000000000000000
χ29444444441-24111-2-2-211-2-2-2-211-2-21111-2-200000000000000000022220000-1-1-1-1-1-1-1-100000
χ30444444441-24111-2-2-211-2-2-2-211-2-21111-2-2000000000000000000-2-2-2-200001111111100000
χ3144444444-214-2-2-2111-2-21111-2-211-2-2-2-21122222222000000-1-1-1-10000-1-1-1-10000000000000
χ3244444444-214-2-2-2111-2-21111-2-211-2-2-2-211-2-2-2-2-2-2-2-20000001111000011110000000000000
χ3344444-4-441-2-4111-2-2-211222211-2-2-1-1-1-12200000000000000000022-2-20000-1-1-1-1111100000
χ3444444-4-441-2-4111-2-2-211222211-2-2-1-1-1-122000000000000000000-2-22200001111-1-1-1-100000
χ3544444-4-44-21-4-2-2-2111-2-2-1-1-1-1-2-2112222-1-12222-2-2-2-2000000-1-1-1-1000011110000000000000
χ3644444-4-44-21-4-2-2-2111-2-2-1-1-1-1-2-2112222-1-1-2-2-2-2222200000011110000-1-1-1-10000000000000
χ374444-444-41-2-4111-2-2-2-1-1-2-2-2-2-1-12211-1-1220000000000000000002i−2i2i−2i0000−i−iii−i−iii00000
χ384444-444-41-2-4111-2-2-2-1-1-2-2-2-2-1-12211-1-122000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000
χ394444-444-4-21-4-2-2-211122111122-1-1-2-222-1-122-2-222-2-2000000-1-1110000-1-1110000000000000
χ404444-444-4-21-4-2-2-211122111122-1-1-2-222-1-1-2-222-2-22200000011-1-1000011-1-10000000000000
χ414444-4-4-4-41-24111-2-2-2-1-12222-1-122-1-111-2-20000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000
χ424444-4-4-4-41-24111-2-2-2-1-12222-1-122-1-111-2-2000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000
χ434444-4-4-4-4-214-2-2-211122-1-1-1-122-1-122-2-21122-2-2-2-222000000-1-111000011-1-10000000000000
χ444444-4-4-4-4-214-2-2-211122-1-1-1-122-1-122-2-211-2-22222-2-200000011-1-10000-1-1110000000000000
χ4544-4-4400-4-210-2221-1-1-2-23i3i−3i−3i221-100003i−3i2-22-22i−2i2i−2i000000-11-110000−ii−ii0000000000000
χ4644-4-4400-4-210-2221-1-1-2-23i3i−3i−3i221-100003i−3i-22-22−2i2i−2i2i0000001-11-10000i−ii−i0000000000000
χ4744-4-4400-4-210-2221-1-1-2-2−3i−3i3i3i221-10000−3i3i2-22-2−2i2i−2i2i000000-11-110000i−ii−i0000000000000
χ4844-4-4400-4-210-2221-1-1-2-2−3i−3i3i3i221-10000−3i3i-22-222i−2i2i−2i0000001-11-10000−ii−ii0000000000000
χ4944-4-4-4004-210-2221-1-1223i3i−3i−3i-2-2-110000−3i3i2-2-222i−2i−2i2i000000-111-10000−iii−i0000000000000
χ5044-4-4-4004-210-2221-1-1223i3i−3i−3i-2-2-110000−3i3i-222-2−2i2i2i−2i0000001-1-110000i−i−ii0000000000000
χ5144-4-4-4004-210-2221-1-122−3i−3i3i3i-2-2-1100003i−3i2-2-22−2i2i2i−2i000000-111-10000i−i−ii0000000000000
χ5244-4-4-4004-210-2221-1-122−3i−3i3i3i-2-2-1100003i−3i-222-22i−2i−2i2i0000001-1-110000−iii−i0000000000000
χ534-44-40000440-44-4-44-40000000000000000000000000004i−4i00000000000000000000000000
χ544-44-40000440-44-4-44-4000000000000000000000000000−4i4i00000000000000000000000000
χ554-4-4404-401-20-1-1122-23i−3i2-22-23i−3i001-13i−3i0000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000
χ564-4-4404-401-20-1-1122-23i−3i2-22-23i−3i001-13i−3i0000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000
χ574-4-4404-401-20-1-1122-2−3i3i2-22-2−3i3i001-1−3i3i0000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000
χ584-4-4404-401-20-1-1122-2−3i3i2-22-2−3i3i001-1−3i3i0000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000
χ594-4-4404-40440-4-44-4-4400-44-4400004-40000000000000000000000000000000000000000000
χ604-4-440-4401-20-1-1122-23i−3i-22-223i−3i00-11−3i3i0000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000
χ614-4-440-4401-20-1-1122-23i−3i-22-223i−3i00-11−3i3i0000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000
χ624-4-440-4401-20-1-1122-2−3i3i-22-22−3i3i00-113i−3i0000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000
χ634-4-440-4401-20-1-1122-2−3i3i-22-22−3i3i00-113i−3i0000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000
χ644-4-440-440440-4-44-4-44004-44-40000-440000000000000000000000000000000000000000000
χ6588-8-8800-82-402-2-2-444220000-2-2-44000000000000000000000000000000000000000000000
χ6688-8-8-80082-402-2-2-444-2-20000224-4000000000000000000000000000000000000000000000
χ678-88-800002-40-22-24-446i−6i0000−6i6i00000000000000000000000000000000000000000000000
χ688-88-800002-40-22-24-44−6i6i00006i−6i00000000000000000000000000000000000000000000000
χ698-88-80000-4204-44-22-2006i−6i−6i6i0000000000000000000000000000000000000000000000000
χ708-88-80000-4204-44-22-200−6i6i6i−6i0000000000000000000000000000000000000000000000000
χ718-8-8808-80-42044-4-2-2200-22-220000-440000000000000000000000000000000000000000000
χ728-8-880-880-42044-4-2-22002-22-200004-40000000000000000000000000000000000000000000

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