Finite Group Databasebeta

← Group #11774683

Character table — Group #11774683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order122222443344444666666666666661212121212121212121212121212121212121212121212124444444422224888888888888
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
χ511111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1
χ611111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1iiii−i−i−i−i−i−iii
χ811111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−i−i−iiiiiii−i−i
χ91111-1-11111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-11-11
χ111111-1-11111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111ii−i−i−i−iiii−i−ii
χ121111-1-11111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111−i−iiiii−i−i−iii−i
χ131111-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-111-1-111-1-1-11-11
χ141111-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-111-1-1111-11-1
χ151111-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11ii−i−i−i−iii−iii−i
χ161111-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11−i−iiiii−i−ii−i−ii
χ17222222-2-222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000222222-2-20000-2000000000000
χ18222222-2-222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22200002000000000000
χ192222-2-2-2-2222000022-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000002222-2-2-2-200002000000000000
χ202222-2-2-2-2222000022-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-222220000-2000000000000
χ2122-2-2002-2220002i−2i-2-20000000022-2-222-2-20000000000002i2i2i2i−2i−2i−2i−2i2i2i−2i−2i002i−2i002-20000000000000
χ2222-2-2002-2220002i−2i-2-20000000022-2-222-2-20000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i00−2i2i00-220000000000000
χ2322-2-2002-222000−2i2i-2-20000000022-2-222-2-2000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i002i−2i00-220000000000000
χ2422-2-2002-222000−2i2i-2-20000000022-2-222-2-2000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i00−2i2i002-20000000000000
χ2522-2-200-222202i−2i00-2-20000000022-2-2-2-22200002i2i2i2i−2i−2i−2i−2i000000002i2i−2i−2i00−2i2i2-2000000000000000
χ2622-2-200-222202i−2i00-2-20000000022-2-2-2-22200002i2i2i2i−2i−2i−2i−2i00000000−2i−2i2i2i002i−2i-22000000000000000
χ2722-2-200-22220−2i2i00-2-20000000022-2-2-2-2220000−2i−2i−2i−2i2i2i2i2i000000002i2i−2i−2i00−2i2i-22000000000000000
χ2822-2-200-22220−2i2i00-2-20000000022-2-2-2-2220000−2i−2i−2i−2i2i2i2i2i00000000−2i−2i2i2i002i−2i2-2000000000000000
χ292-22-22-2002200000222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i00000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ302-22-22-2002200000222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i0000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ312-22-22-2002200000222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i00000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ322-22-22-2002200000222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i0000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ332-22-2-2200220000022-2-2-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i−2i2i00000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ342-22-2-2200220000022-2-2-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i−2i2i0000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ352-22-2-2200220000022-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i2i−2i00000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ362-22-2-2200220000022-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i2i−2i0000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ37444444441-2444441-211-2-211-2-21-21-21-21-211-2-211-2-211-2-211-2-211-2-20000000000000000000000000
χ38444444441-24-4-4-4-41-211-2-211-2-21-21-21-21-211-2-2-1-122-1-122-1-122-1-1220000000000000000000000000
χ3944444444-2144444-21-2-211-2-211-21-21-21-21-2-211-2-211-2-211-2-211-2-2110000000000000000000000000
χ4044444444-214-4-4-4-4-21-2-211-2-211-21-21-21-21-2-21122-1-122-1-122-1-122-1-10000000000000000000000000
χ41444444-4-41-2-400001-211-2-211-2-21-21-2-12-12-1-1223-3003-3003-3003-3000000000000000000000000000
χ42444444-4-41-2-400001-211-2-211-2-21-21-2-12-12-1-122-3300-3300-3300-33000000000000000000000000000
χ43444444-4-4-21-40000-21-2-211-2-211-21-212-12-122-1-1003-3003-3003-3003-30000000000000000000000000
χ44444444-4-4-21-40000-21-2-211-2-211-21-212-12-122-1-100-3300-3300-3300-330000000000000000000000000
χ454444-4-4441-2-444-4-41-2-1-122-1-1221-21-21-21-2-1-12211-2-211-2-2-1-122-1-1220000000000000000000000000
χ464444-4-4441-2-4-4-4441-2-1-122-1-1221-21-21-21-2-1-122-1-122-1-12211-2-211-2-20000000000000000000000000
χ474444-4-444-21-444-4-4-2122-1-122-1-1-21-21-21-2122-1-1-2-211-2-21122-1-122-1-10000000000000000000000000
χ484444-4-444-21-4-4-444-2122-1-122-1-1-21-21-21-2122-1-122-1-122-1-1-2-211-2-2110000000000000000000000000
χ494444-4-4-4-41-2400001-2-1-122-1-1221-21-2-12-1211-2-23-3003-300-3300-33000000000000000000000000000
χ504444-4-4-4-41-2400001-2-1-122-1-1221-21-2-12-1211-2-2-3300-33003-3003-3000000000000000000000000000
χ514444-4-4-4-4-2140000-2122-1-122-1-1-21-212-12-1-2-211003-3003-300-3300-330000000000000000000000000
χ524444-4-4-4-4-2140000-2122-1-122-1-1-21-212-12-1-2-21100-3300-33003-3003-30000000000000000000000000
χ5344-4-4004-41-20004i−4i-123-3003-3001-2-121-2-123-3003i−3i00−3i3i00ii−2i−2i−i−i2i2i0000000000000000000000000
χ5444-4-4004-41-20004i−4i-12-3300-33001-2-121-2-12-3300−3i3i003i−3i00ii−2i−2i−i−i2i2i0000000000000000000000000
χ5544-4-4004-41-2000−4i4i-123-3003-3001-2-121-2-123-300−3i3i003i−3i00−i−i2i2iii−2i−2i0000000000000000000000000
χ5644-4-4004-41-2000−4i4i-12-3300-33001-2-121-2-12-33003i−3i00−3i3i00−i−i2i2iii−2i−2i0000000000000000000000000
χ5744-4-4004-4-210004i−4i2-1003-3003-3-212-1-212-1003-3003i−3i00−3i3i−2i−2iii2i2i−i−i0000000000000000000000000
χ5844-4-4004-4-210004i−4i2-100-3300-33-212-1-212-100-3300−3i3i003i−3i−2i−2iii2i2i−i−i0000000000000000000000000
χ5944-4-4004-4-21000−4i4i2-1003-3003-3-212-1-212-1003-300−3i3i003i−3i2i2i−i−i−2i−2iii0000000000000000000000000
χ6044-4-4004-4-21000−4i4i2-100-3300-33-212-1-212-100-33003i−3i00−3i3i2i2i−i−i−2i−2iii0000000000000000000000000
χ6144-4-400-441-204i−4i00-123-3003-3001-2-12-121-2-3300ii−2i−2i−i−i2i2i3i−3i00−3i3i000000000000000000000000000
χ6244-4-400-441-204i−4i00-12-3300-33001-2-12-121-23-300ii−2i−2i−i−i2i2i−3i3i003i−3i000000000000000000000000000
χ6344-4-400-441-20−4i4i00-123-3003-3001-2-12-121-2-3300−i−i2i2iii−2i−2i−3i3i003i−3i000000000000000000000000000
χ6444-4-400-441-20−4i4i00-12-3300-33001-2-12-121-23-300−i−i2i2iii−2i−2i3i−3i00−3i3i000000000000000000000000000
χ6544-4-400-44-2104i−4i002-1003-3003-3-212-12-1-2100-33−2i−2iii2i2i−i−i003i−3i00−3i3i0000000000000000000000000
χ6644-4-400-44-2104i−4i002-100-3300-33-212-12-1-21003-3−2i−2iii2i2i−i−i00−3i3i003i−3i0000000000000000000000000
χ6744-4-400-44-210−4i4i002-1003-3003-3-212-12-1-2100-332i2i−i−i−2i−2iii00−3i3i003i−3i0000000000000000000000000
χ6844-4-400-44-210−4i4i002-100-3300-33-212-12-1-21003-32i2i−i−i−2i−2iii003i−3i00−3i3i0000000000000000000000000
χ694-4-4400004400000-4-400000000-4-4440000000000000000000000004-4-44000000000000000000000
χ704-4-4400004400000-4-400000000-4-444000000000000000000000000-444-4000000000000000000000
χ718-88-88-8002-4000002-422-4-4-2-244-24-240000000000000000000000000000000000000000000000000
χ728-88-88-800-4200000-42-4-42244-2-24-24-20000000000000000000000000000000000000000000000000
χ738-88-8-88002-4000002-4-2-24422-4-4-24-240000000000000000000000000000000000000000000000000
χ748-88-8-8800-4200000-4244-2-2-4-4224-24-20000000000000000000000000000000000000000000000000
χ758-8-8800002-400000-246-600-6600-242-40000000000000000000000000000000000000000000000000
χ768-8-8800002-400000-24-66006-600-242-40000000000000000000000000000000000000000000000000
χ778-8-880000-42000004-2006-600-664-2-420000000000000000000000000000000000000000000000000
χ788-8-880000-42000004-200-66006-64-2-420000000000000000000000000000000000000000000000000

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