Finite Group Databasebeta

← Group #11775178

Character table — Group #11775178

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888888888888888888888181818181818363636363636363636727272727272
order12224444334666666121212121212121244121212121212121212121212121212121212121212121212224444444444444448888
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
χ51111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11-11-11-1
χ101111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1111-1-11-11
χ111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11ii−i−i−i−iii-11i−i−ii
χ121111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11−i−iiiii−i−i-11−iii−i
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-111-1-111-1-1-11-11-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-111-111-11-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11ii−i−i−i−iii1-1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11−i−iiiii−i−i1-1i−i−ii
χ17222222-2-222-22222222222222200-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2200000000000000
χ18222222-2-222-22222222222222200-2-2-2-2-2-2-2-20000000000000000-2-22222-200000000000000
χ192222-2-22222-2222222-2-2-2-2-2-2-2-200-2-2-2-2222200000000000000002222-2-2-200000000000000
χ202222-2-22222-2222222-2-2-2-2-2-2-2-200-2-2-2-222220000000000000000-2-2-2-222200000000000000
χ212-22-22i−2i00220-2-222-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000002-22i−2i01+i−1−i1−i−1+i1−i−1+i1+i−1−i000000
χ222-22-22i−2i00220-2-222-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000002-22i−2i0−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000
χ232-22-22i−2i00220-2-222-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000-22−2i2i01−i−1+i−1−i1+i1+i−1−i−1+i1−i000000
χ242-22-22i−2i00220-2-222-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000-22−2i2i0−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000
χ252-22-2−2i2i00220-2-222-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002-2−2i2i01−i−1+i1+i−1−i1+i−1−i1−i−1+i000000
χ262-22-2−2i2i00220-2-222-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002-2−2i2i0−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000
χ272-22-2−2i2i00220-2-222-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000-222i−2i01+i−1−i−1+i1−i1−i−1+i−1−i1+i000000
χ282-22-2−2i2i00220-2-222-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000-222i−2i0−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000
χ29444444441-241-21-21-211-2-211-2-24411-2-211-2-21111-2-2-2-21111-2-2-2-2000000000000000000000
χ30444444441-241-21-21-211-2-211-2-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-12222000000000000000000000
χ3144444444-214-21-21-21-2-211-2-21144-2-211-2-211-2-2-2-21111-2-2-2-21111000000000000000000000
χ3244444444-214-21-21-21-2-211-2-211-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000
χ33444444-4-41-2-41-21-21-211-2-211-2-200-1-122-1-12233-3-3000033-3-30000000000000000000000000
χ34444444-4-41-2-41-21-21-211-2-211-2-200-1-122-1-122-3-3330000-3-3330000000000000000000000000
χ35444444-4-4-21-4-21-21-21-2-211-2-2110022-1-122-1-1000033-3-3000033-3-3000000000000000000000
χ36444444-4-4-21-4-21-21-21-2-211-2-2110022-1-122-1-10000-3-3330000-3-333000000000000000000000
χ374444-4-4441-2-41-21-21-2-1-122-1-12200-1-12211-2-233-3-30000-3-3330000000000000000000000000
χ384444-4-4441-2-41-21-21-2-1-122-1-12200-1-12211-2-2-3-333000033-3-30000000000000000000000000
χ394444-4-444-21-4-21-21-2122-1-122-1-10022-1-1-2-211000033-3-30000-3-333000000000000000000000
χ404444-4-444-21-4-21-21-2122-1-122-1-10022-1-1-2-2110000-3-333000033-3-3000000000000000000000
χ414444-4-4-4-41-241-21-21-2-1-122-1-1224-411-2-2-1-1221111-2-2-2-2-1-1-1-12222000000000000000000000
χ424444-4-4-4-41-241-21-21-2-1-122-1-122-4411-2-2-1-122-1-1-1-122221111-2-2-2-2000000000000000000000
χ434444-4-4-4-4-214-21-21-2122-1-122-1-14-4-2-21122-1-1-2-2-2-211112222-1-1-1-1000000000000000000000
χ444444-4-4-4-4-214-21-21-2122-1-122-1-1-44-2-21122-1-12222-1-1-1-1-2-2-2-21111000000000000000000000
χ4544-4-4000044044-4-4-4-400000000000000000000000000000000004-40000000000000000000
χ4644-4-4000044044-4-4-4-40000000000000000000000000000000000-440000000000000000000
χ474-4-44004i−4i1-20-12-121-23i−3i003i−3i00003-300i−i2i−2i3−33−30023−23−i3i3−i3i3−2i32i300000000000000000000000
χ484-4-44004i−4i1-20-12-121-23i−3i003i−3i00003-300i−i2i−2i−33−3300−2323i3−i3i3−i32i3−2i300000000000000000000000
χ494-4-44004i−4i1-20-12-121-2−3i3i00−3i3i0000-3300i−i2i−2i3−3−3323−2300i3−i3−i3i300−2i32i3000000000000000000000
χ504-4-44004i−4i1-20-12-121-2−3i3i00−3i3i0000-3300i−i2i−2i−333−3−232300−i3i3i3−i3002i3−2i3000000000000000000000
χ514-4-44004i−4i440-4-4-4-444000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ524-4-44004i−4i-2102-12-1-21003i−3i003i−3i00003-3−2i2i−ii0023−233−3−33−2i32i300i3−i3−i3i3000000000000000000000
χ534-4-44004i−4i-2102-12-1-21003i−3i003i−3i00003-3−2i2i−ii00−2323−333−32i3−2i300−i3i3i3−i3000000000000000000000
χ544-4-44004i−4i-2102-12-1-2100−3i3i00−3i3i0000-33−2i2i−ii23−2300−33−3300−2i32i3i3−i3i3−i3000000000000000000000
χ554-4-44004i−4i-2102-12-1-2100−3i3i00−3i3i0000-33−2i2i−ii−2323003−33−3002i3−2i3−i3i3−i3i3000000000000000000000
χ564-4-4400−4i4i1-20-12-121-23i−3i003i−3i0000-3300−ii−2i2i3−3−3323−2300−i3i3i3−i3002i3−2i3000000000000000000000
χ574-4-4400−4i4i1-20-12-121-23i−3i003i−3i0000-3300−ii−2i2i−333−3−232300i3−i3−i3i300−2i32i3000000000000000000000
χ584-4-4400−4i4i1-20-12-121-2−3i3i00−3i3i00003-300−ii−2i2i3−33−30023−23i3−i3i3−i32i3−2i300000000000000000000000
χ594-4-4400−4i4i1-20-12-121-2−3i3i00−3i3i00003-300−ii−2i2i−33−3300−2323−i3i3−i3i3−2i32i300000000000000000000000
χ604-4-4400−4i4i440-4-4-4-44400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ614-4-4400−4i4i-2102-12-1-21003i−3i003i−3i0000-332i−2ii−i23−2300−33−33002i3−2i3−i3i3−i3i3000000000000000000000
χ624-4-4400−4i4i-2102-12-1-21003i−3i003i−3i0000-332i−2ii−i−2323003−33−300−2i32i3i3−i3i3−i3000000000000000000000
χ634-4-4400−4i4i-2102-12-1-2100−3i3i00−3i3i00003-32i−2ii−i0023−233−3−332i3−2i300−i3i3i3−i3000000000000000000000
χ644-4-4400−4i4i-2102-12-1-2100−3i3i00−3i3i00003-32i−2ii−i00−2323−333−3−2i32i300i3−i3−i3i3000000000000000000000
χ6588-8-800002-402-4-24-246-600-660000000000000000000000000000000000000000000000000
χ6688-8-800002-402-4-24-24-66006-60000000000000000000000000000000000000000000000000
χ6788-8-80000-420-424-24-2006-600-6600000000000000000000000000000000000000000000000
χ6888-8-80000-420-424-24-200-66006-600000000000000000000000000000000000000000000000
χ698-88-88i−8i002-40-242-4-242i2i−4i−4i−2i−2i4i4i00000000000000000000000000000000000000000000000
χ708-88-88i−8i00-4204-2-424-2−4i−4i2i2i4i4i−2i−2i00000000000000000000000000000000000000000000000
χ718-88-8−8i8i002-40-242-4-24−2i−2i4i4i2i2i−4i−4i00000000000000000000000000000000000000000000000
χ728-88-8−8i8i00-4204-2-424-24i4i−2i−2i−4i−4i2i2i00000000000000000000000000000000000000000000000

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