Finite Group Databasebeta

← Group #11775265

Character table — Group #11775265

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888888888888888888888181818181818363636363636363636727272727272
order122244443346666661212121212121212246666666612121212121212121212121212121212224444444444444448888
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
χ51111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11-11-11-1
χ101111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1111-1-11-11
χ111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11ii−i−i−i−iii-11i−i−ii
χ121111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11−i−iiiii−i−i-11−iii−i
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-111-1-111-1-1-11-11-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-111-1-111-111-11-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11ii−i−i−i−iii1-1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11−i−iiiii−i−i1-1i−i−ii
χ17222222-2-222-2222222222222220000000000-2-2-2-2-2-2-2-20000000022-2-2-2-2200000000000000
χ18222222-2-222-2222222222222220000000000-2-2-2-2-2-2-2-200000000-2-22222-200000000000000
χ192222-2-22222-2222222-2-2-2-2-2-2-2-20000000000-2-2-2-22222000000002222-2-2-200000000000000
χ202222-2-22222-2222222-2-2-2-2-2-2-2-20000000000-2-2-2-2222200000000-2-2-2-222200000000000000
χ2122-2-22-200220-2-2-2-2222222-2-2-2-200000000000000000000000000002i−2i2i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ2222-2-22-200220-2-2-2-2222222-2-2-2-200000000000000000000000000002i−2i2i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ2322-2-22-200220-2-2-2-2222222-2-2-2-20000000000000000000000000000−2i2i−2i2i01−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ2422-2-22-200220-2-2-2-2222222-2-2-2-20000000000000000000000000000−2i2i−2i2i0−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ2522-2-2-2200220-2-2-2-222-2-2-2-2222200000000000000000000000000002i−2i−2i2i01−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ2622-2-2-2200220-2-2-2-222-2-2-2-2222200000000000000000000000000002i−2i−2i2i0−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ2722-2-2-2200220-2-2-2-222-2-2-2-222220000000000000000000000000000−2i2i2i−2i01+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ2822-2-2-2200220-2-2-2-222-2-2-2-222220000000000000000000000000000−2i2i2i−2i0−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ29444444441-2411-2-21-211-2-211-2-2441111-2-2-2-211-2-211-2-21111-2-2-2-2000000000000000000000
χ30444444441-2411-2-21-211-2-211-2-2-4-4-1-1-1-1222211-2-211-2-2-1-1-1-12222000000000000000000000
χ3144444444-214-2-211-21-2-211-2-21144-2-2-2-21111-2-211-2-211-2-2-2-21111000000000000000000000
χ3244444444-214-2-211-21-2-211-2-211-4-42222-1-1-1-1-2-211-2-2112222-1-1-1-1000000000000000000000
χ33444444-4-41-2-411-2-21-211-2-211-2-20033-3-30000-1-122-1-12233-3-30000000000000000000000000
χ34444444-4-41-2-411-2-21-211-2-211-2-200-3-3330000-1-122-1-122-3-3330000000000000000000000000
χ35444444-4-4-21-4-2-211-21-2-211-2-21100000033-3-322-1-122-1-1000033-3-3000000000000000000000
χ36444444-4-4-21-4-2-211-21-2-211-2-211000000-3-33322-1-122-1-10000-3-333000000000000000000000
χ374444-4-4441-2-411-2-21-2-1-122-1-1220033-3-30000-1-12211-2-2-3-3330000000000000000000000000
χ384444-4-4441-2-411-2-21-2-1-122-1-12200-3-3330000-1-12211-2-233-3-30000000000000000000000000
χ394444-4-444-21-4-2-211-2122-1-122-1-100000033-3-322-1-1-2-2110000-3-333000000000000000000000
χ404444-4-444-21-4-2-211-2122-1-122-1-1000000-3-33322-1-1-2-211000033-3-3000000000000000000000
χ414444-4-4-4-41-2411-2-21-2-1-122-1-1224-41111-2-2-2-211-2-2-1-122-1-1-1-12222000000000000000000000
χ424444-4-4-4-41-2411-2-21-2-1-122-1-122-44-1-1-1-1222211-2-2-1-1221111-2-2-2-2000000000000000000000
χ434444-4-4-4-4-214-2-211-2122-1-122-1-14-4-2-2-2-21111-2-21122-1-12222-1-1-1-1000000000000000000000
χ444444-4-4-4-4-214-2-211-2122-1-122-1-1-442222-1-1-1-1-2-21122-1-1-2-2-2-21111000000000000000000000
χ454-44-400004404-44-4-4-400000000000000000000000000000000004-40000000000000000000
χ464-44-400004404-44-4-4-40000000000000000000000000000000000-440000000000000000000
χ474-4-44004i−4i1-20-112-2-123i−3i003i−3i0000−i3i3−i3i300−2i32i33-300i−i2i−2i3−33−323−2300000000000000000000000
χ484-4-44004i−4i1-20-112-2-123i−3i003i−3i0000i3−i3i3−i3002i3−2i33-300i−i2i−2i−33−33−232300000000000000000000000
χ494-4-44004i−4i1-20-112-2-12−3i3i00−3i3i0000−i3i3i3−i3−2i32i300-3300i−i2i−2i−333−30023−23000000000000000000000
χ504-4-44004i−4i1-20-112-2-12−3i3i00−3i3i0000i3−i3−i3i32i3−2i300-3300i−i2i−2i3−3−3300−2323000000000000000000000
χ514-4-44004i−4i440-44-44-4-400000000000000000000004i−4i−4i4i00000000000000000000000000000
χ524-4-44004i−4i-2102-2-112-1003i−3i003i−3i0000−2i32i3−i3i3i3−i3003-3−2i2i−ii23−2300−333−3000000000000000000000
χ534-4-44004i−4i-2102-2-112-1003i−3i003i−3i00002i3−2i3i3−i3−i3i3003-3−2i2i−ii−2323003−3−33000000000000000000000
χ544-4-44004i−4i-2102-2-112-100−3i3i00−3i3i00−2i32i300i3−i3i3−i300-33−2i2i−ii0023−23−33−33000000000000000000000
χ554-4-44004i−4i-2102-2-112-100−3i3i00−3i3i002i3−2i300−i3i3−i3i300-33−2i2i−ii00−23233−33−3000000000000000000000
χ564-4-4400−4i4i1-20-112-2-123i−3i003i−3i0000−i3i3i3−i3−2i32i300-3300−ii−2i2i3−3−3300−2323000000000000000000000
χ574-4-4400−4i4i1-20-112-2-123i−3i003i−3i0000i3−i3−i3i32i3−2i300-3300−ii−2i2i−333−30023−23000000000000000000000
χ584-4-4400−4i4i1-20-112-2-12−3i3i00−3i3i0000−i3i3−i3i300−2i32i33-300−ii−2i2i−33−33−232300000000000000000000000
χ594-4-4400−4i4i1-20-112-2-12−3i3i00−3i3i0000i3−i3i3−i3002i3−2i33-300−ii−2i2i3−33−323−2300000000000000000000000
χ604-4-4400−4i4i440-44-44-4-40000000000000000000000−4i4i4i−4i00000000000000000000000000000
χ614-4-4400−4i4i-2102-2-112-1003i−3i003i−3i00−2i32i300i3−i3i3−i300-332i−2ii−i00−23233−33−3000000000000000000000
χ624-4-4400−4i4i-2102-2-112-1003i−3i003i−3i002i3−2i300−i3i3−i3i300-332i−2ii−i0023−23−33−33000000000000000000000
χ634-4-4400−4i4i-2102-2-112-100−3i3i00−3i3i0000−2i32i3−i3i3i3−i3003-32i−2ii−i−2323003−3−33000000000000000000000
χ644-4-4400−4i4i-2102-2-112-100−3i3i00−3i3i00002i3−2i3i3−i3−i3i3003-32i−2ii−i23−2300−333−3000000000000000000000
χ6588-8-88-8002-40-2-2442-422-4-4-2-24400000000000000000000000000000000000000000000000
χ6688-8-88-800-42044-2-2-42-4-42244-2-200000000000000000000000000000000000000000000000
χ6788-8-8-88002-40-2-2442-4-2-24422-4-400000000000000000000000000000000000000000000000
χ6888-8-8-8800-42044-2-2-4244-2-2-4-42200000000000000000000000000000000000000000000000
χ698-88-800002-402-2-44-246i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ708-88-800002-402-2-44-24−6i6i006i−6i0000000000000000000000000000000000000000000000000
χ718-88-80000-420-442-24-2006i−6i00−6i6i00000000000000000000000000000000000000000000000
χ728-88-80000-420-442-24-200−6i6i006i−6i00000000000000000000000000000000000000000000000

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