Finite Group Databasebeta

← Group #11785315

Character table — Group #11785315

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order12224444334444466666612121212121212121212121212121212121212121212121212121212121212124444224422444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-111111111-1-1-1-1
χ611111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111iiii−i−i−i−i−i−iii
χ811111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111−i−i−i−iiiiiii−i−i
χ9111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-111-1-11-11-1
χ10111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-111-11-11
χ11111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111ii−i−i−i−iiii−i−ii
χ12111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111−i−iiiii−i−i−iii−i
χ13111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11111-1-111-1-1-11-11
χ14111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111-1-111-1-1111-11-1
χ15111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1−i−iiiii−i−ii−i−ii
χ172222-2-22222-2000022222222222222-2-2-2-2-2-2-2-200000000000000002222-2-22200-200000000000000
χ182222-2-22222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-200200000000000000
χ192222-2-2-2-22220000222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-200200000000000000
χ202222-2-2-2-22220000222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2222200-200000000000000
χ2122-2-22-200220002i−2i-2-222-2-20000000022-2-20000000000002i2i2i2i−2i−2i−2i−2i22-2-2-22000002i−2i000000000000
χ2222-2-22-200220002i−2i-2-222-2-20000000022-2-20000000000002i2i2i2i−2i−2i−2i−2i-2-2222-200000−2i2i000000000000
χ2322-2-22-20022000−2i2i-2-222-2-20000000022-2-2000000000000−2i−2i−2i−2i2i2i2i2i22-2-2-2200000−2i2i000000000000
χ2422-2-22-20022000−2i2i-2-222-2-20000000022-2-2000000000000−2i−2i−2i−2i2i2i2i2i-2-2222-2000002i−2i000000000000
χ2522-2-2-22002202-200-2-222-2-200000000-2-22200002222-2-2-2-20000000022-2-22-2002-2000000000000000
χ2622-2-2-22002202-200-2-222-2-200000000-2-22200002222-2-2-2-200000000-2-222-2200-22000000000000000
χ2722-2-2-2200220-2200-2-222-2-200000000-2-2220000-2-2-2-222220000000022-2-22-200-22000000000000000
χ2822-2-2-2200220-2200-2-222-2-200000000-2-2220000-2-2-2-2222200000000-2-222-22002-2000000000000000
χ292-2-22002-2220000022-2-2-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i002i−2i000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ302-2-22002-2220000022-2-2-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i002i−2i00000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ312-2-22002-2220000022-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i00−2i2i000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ322-2-22002-2220000022-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i00−2i2i00000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ332-2-2200-22220000022-2-2-2-2-2-2-2-222220000000000000000000000002i−2i2i−2i00−2i2i000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ342-2-2200-22220000022-2-2-2-2-2-2-2-222220000000000000000000000002i−2i2i−2i00−2i2i00000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ352-2-2200-22220000022-2-2-2-2-2-2-2-22222000000000000000000000000−2i2i−2i2i002i−2i000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ362-2-2200-22220000022-2-2-2-2-2-2-2-22222000000000000000000000000−2i2i−2i2i002i−2i00000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ37444444441-2444441-21-21-211-2-211-2-21-21-211-2-211-2-211-2-211-2-211-2-20000000000000000000000000
χ38444444441-24-4-4-4-41-21-21-211-2-211-2-21-21-211-2-2-1-122-1-122-1-122-1-1220000000000000000000000000
χ3944444444-2144444-21-21-21-2-211-2-211-21-21-2-211-2-211-2-211-2-211-2-2110000000000000000000000000
χ4044444444-214-4-4-4-4-21-21-21-2-211-2-211-21-21-2-21122-1-122-1-122-1-122-1-10000000000000000000000000
χ41444444-4-41-2-444-4-41-21-21-2-1-122-1-1221-21-2-1-12211-2-211-2-2-1-122-1-1220000000000000000000000000
χ42444444-4-41-2-4-4-4441-21-21-2-1-122-1-1221-21-2-1-122-1-122-1-12211-2-211-2-20000000000000000000000000
χ43444444-4-4-21-444-4-4-21-21-2122-1-122-1-1-21-2122-1-1-2-211-2-21122-1-122-1-10000000000000000000000000
χ44444444-4-4-21-4-4-444-21-21-2122-1-122-1-1-21-2122-1-122-1-122-1-1-2-211-2-2110000000000000000000000000
χ454444-4-4441-2-400001-21-21-211-2-211-2-2-12-12-1-1223-3003-3003-3003-3000000000000000000000000000
χ464444-4-4441-2-400001-21-21-211-2-211-2-2-12-12-1-122-3300-3300-3300-33000000000000000000000000000
χ474444-4-444-21-40000-21-21-21-2-211-2-2112-12-122-1-1003-3003-3003-3003-30000000000000000000000000
χ484444-4-444-21-40000-21-21-21-2-211-2-2112-12-122-1-100-3300-3300-3300-330000000000000000000000000
χ494444-4-4-4-41-2400001-21-21-2-1-122-1-122-12-1211-2-23-3003-300-3300-33000000000000000000000000000
χ504444-4-4-4-41-2400001-21-21-2-1-122-1-122-12-1211-2-2-3300-33003-3003-3000000000000000000000000000
χ514444-4-4-4-4-2140000-21-21-2122-1-122-1-12-12-1-2-211003-3003-300-3300-330000000000000000000000000
χ524444-4-4-4-4-2140000-21-21-2122-1-122-1-12-12-1-2-21100-3300-33003-3003-30000000000000000000000000
χ5344-4-44-4001-20004i−4i-121-2-123i−3i003i−3i001-2-123i−3i003-300-3300ii−2i−2i−i−i2i2i0000000000000000000000000
χ5444-4-44-4001-20004i−4i-121-2-12−3i3i00−3i3i001-2-12−3i3i00-33003-300ii−2i−2i−i−i2i2i0000000000000000000000000
χ5544-4-44-4001-2000−4i4i-121-2-123i−3i003i−3i001-2-123i−3i00-33003-300−i−i2i2iii−2i−2i0000000000000000000000000
χ5644-4-44-4001-2000−4i4i-121-2-12−3i3i00−3i3i001-2-12−3i3i003-300-3300−i−i2i2iii−2i−2i0000000000000000000000000
χ5744-4-44-400-210004i−4i2-1-212-1003i−3i003i−3i-212-1003i−3i003-300-33−2i−2iii2i2i−i−i0000000000000000000000000
χ5844-4-44-400-210004i−4i2-1-212-100−3i3i00−3i3i-212-100−3i3i00-33003-3−2i−2iii2i2i−i−i0000000000000000000000000
χ5944-4-44-400-21000−4i4i2-1-212-1003i−3i003i−3i-212-1003i−3i00-33003-32i2i−i−i−2i−2iii0000000000000000000000000
χ6044-4-44-400-21000−4i4i2-1-212-100−3i3i00−3i3i-212-100−3i3i003-300-332i2i−i−i−2i−2iii0000000000000000000000000
χ6144-4-4-44001-204-400-121-2-123i−3i003i−3i00-121-2−3i3i0011-2-2-1-1223i−3i00−3i3i000000000000000000000000000
χ6244-4-4-44001-204-400-121-2-12−3i3i00−3i3i00-121-23i−3i0011-2-2-1-122−3i3i003i−3i000000000000000000000000000
χ6344-4-4-44001-20-4400-121-2-123i−3i003i−3i00-121-2−3i3i00-1-12211-2-2−3i3i003i−3i000000000000000000000000000
χ6444-4-4-44001-20-4400-121-2-12−3i3i00−3i3i00-121-23i−3i00-1-12211-2-23i−3i00−3i3i000000000000000000000000000
χ6544-4-4-4400-2104-4002-1-212-1003i−3i003i−3i2-1-2100−3i3i-2-21122-1-1003i−3i00−3i3i0000000000000000000000000
χ6644-4-4-4400-2104-4002-1-212-100−3i3i00−3i3i2-1-21003i−3i-2-21122-1-100−3i3i003i−3i0000000000000000000000000
χ6744-4-4-4400-210-44002-1-212-1003i−3i003i−3i2-1-2100−3i3i22-1-1-2-21100−3i3i003i−3i0000000000000000000000000
χ6844-4-4-4400-210-44002-1-212-100−3i3i00−3i3i2-1-21003i−3i22-1-1-2-211003i−3i00−3i3i0000000000000000000000000
χ694-44-400004400000-4-4-4-444000000000000000000000000000000004i−4i−4i4i000000000000000000000
χ704-44-400004400000-4-4-4-44400000000000000000000000000000000−4i4i4i−4i000000000000000000000
χ718-88-800002-400000-24-242-46i−6i00−6i6i000000000000000000000000000000000000000000000000000
χ728-88-800002-400000-24-242-4−6i6i006i−6i000000000000000000000000000000000000000000000000000
χ738-88-80000-42000004-24-2-42006i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ748-88-80000-42000004-24-2-4200−6i6i006i−6i0000000000000000000000000000000000000000000000000
χ758-8-88008-82-4000002-4-24-2422-4-4-2-2440000000000000000000000000000000000000000000000000
χ768-8-88008-8-4200000-424-24-2-4-42244-2-20000000000000000000000000000000000000000000000000
χ778-8-8800-882-4000002-4-24-24-2-24422-4-40000000000000000000000000000000000000000000000000
χ788-8-8800-88-4200000-424-24-244-2-2-4-4220000000000000000000000000000000000000000000000000

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