Finite Group Databasebeta

← Group #11771097

Character table — Group #11771097

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order122222443344444666666666666661212121212121212121212121212121212121212121212124444224424444444444448888
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
χ511111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1
χ611111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11ii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11ii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1−i−iii11-1-1-1-111−iii−i
χ121111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1−i−iii-1-11111-1-1i−i−ii
χ131111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−i−iiiii−i−iii−i−i-11-11
χ141111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−i−iii−i−iii−i−iii1-11-1
χ151111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1ii−i−i11-1-1-1-111i−i−ii
χ161111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1ii−i−i-1-11111-1-1−iii−i
χ17222222-2-222-2000022222222222222-2-2-2-2-2-2-2-200000000000000002222-2-222-20000000000000000
χ18222222-2-222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-220000000000000000
χ192222-2-22222-200002222-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000222222-2-2-20000000000000000
χ202222-2-22222-200002222-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2-2-22220000000000000000
χ2122-2-2002i−2i2201+i−1−i1−i−1+i22-2-20000-2-2000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i2i2i−2i−2i2-20001−i−1+i1+i−1−i000000000000
χ2222-2-2002i−2i2201+i−1−i1−i−1+i22-2-20000-2-2000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−2i−2i2i2i-22000−1+i1−i−1−i1+i000000000000
χ2322-2-2002i−2i220−1−i1+i−1+i1−i22-2-20000-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2i2i−2i−2i2-2000−1+i1−i−1−i1+i000000000000
χ2422-2-2002i−2i220−1−i1+i−1+i1−i22-2-20000-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−2i−2i2i2i-220001−i−1+i1+i−1−i000000000000
χ2522-2-200−2i2i2201−i−1+i1+i−1−i22-2-20000-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2i2i−2i−2i-22000−1−i1+i−1+i1−i000000000000
χ2622-2-200−2i2i2201−i−1+i1+i−1−i22-2-20000-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−2i−2i2i2i2-20001+i−1−i1−i−1+i000000000000
χ2722-2-200−2i2i220−1+i1−i−1−i1+i22-2-20000-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2i2i−2i−2i-220001+i−1−i1−i−1+i000000000000
χ2822-2-200−2i2i220−1+i1−i−1−i1+i22-2-20000-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−2i−2i2i2i2-2000−1−i1+i−1+i1−i000000000000
χ292-22-22-2002200000-2-222-2-2-2-2-2-222220000000000000000000000002i−2i2i−2i002i−2i000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ302-22-22-2002200000-2-222-2-2-2-2-2-222220000000000000000000000002i−2i2i−2i002i−2i00000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ312-22-22-2002200000-2-222-2-2-2-2-2-22222000000000000000000000000−2i2i−2i2i00−2i2i000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ322-22-22-2002200000-2-222-2-2-2-2-2-22222000000000000000000000000−2i2i−2i2i00−2i2i00000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ332-22-2-22002200000-2-2222222-2-2-2-2-2-20000000000000000000000002i−2i2i−2i00−2i2i000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000
χ342-22-2-22002200000-2-2222222-2-2-2-2-2-20000000000000000000000002i−2i2i−2i00−2i2i00000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000
χ352-22-2-22002200000-2-2222222-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i002i−2i000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000
χ362-22-2-22002200000-2-2222222-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i002i−2i00000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000
χ37444444441-2444441-21-211-2-21-211-2-211-2-21-21-211-2-211-2-211-2-211-2-20000000000000000000000000
χ38444444441-24-4-4-4-41-21-211-2-21-211-2-211-2-21-21-2-1-122-1-122-1-122-1-1220000000000000000000000000
χ3944444444-2144444-21-21-2-211-21-2-211-2-211-21-21-2-211-2-211-2-211-2-2110000000000000000000000000
χ4044444444-214-4-4-4-4-21-21-2-211-21-2-211-2-211-21-2122-1-122-1-122-1-122-1-10000000000000000000000000
χ41444444-4-41-2-400001-21-211-2-21-211-2-2-1-122-12-123-3003-3003-3003-3000000000000000000000000000
χ42444444-4-41-2-400001-21-211-2-21-211-2-2-1-122-12-12-3300-3300-3300-33000000000000000000000000000
χ43444444-4-4-21-40000-21-21-2-211-21-2-21122-1-12-12-1003-3003-3003-3003-30000000000000000000000000
χ44444444-4-4-21-40000-21-21-2-211-21-2-21122-1-12-12-100-3300-3300-3300-330000000000000000000000000
χ454444-4-4441-2-400001-21-2-1-1221-2-1-122-1-1221-21-23i−3i003i−3i00−3i3i00−3i3i000000000000000000000000000
χ464444-4-4441-2-400001-21-2-1-1221-2-1-122-1-1221-21-2−3i3i00−3i3i003i−3i003i−3i000000000000000000000000000
χ474444-4-444-21-40000-21-2122-1-1-2122-1-122-1-1-21-21003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000
χ484444-4-444-21-40000-21-2122-1-1-2122-1-122-1-1-21-2100−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000
χ494444-4-4-4-41-244i4i−4i−4i1-21-2-1-1221-2-1-12211-2-2-12-12ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i0000000000000000000000000
χ504444-4-4-4-41-24−4i−4i4i4i1-21-2-1-1221-2-1-12211-2-2-12-12−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i0000000000000000000000000
χ514444-4-4-4-4-2144i4i−4i−4i-21-2122-1-1-2122-1-1-2-2112-12-1−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i0000000000000000000000000
χ524444-4-4-4-4-214−4i−4i4i4i-21-2122-1-1-2122-1-1-2-2112-12-12i2i−i−i2i2i−i−i−2i−2iii−2i−2iii0000000000000000000000000
χ5344-4-4004i−4i1-202+2i−2−2i2−2i−2+2i1-2-123-300-123-3003i−3i00i−2i−i2i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i0000000000000000000000000
χ5444-4-4004i−4i1-202+2i−2−2i2−2i−2+2i1-2-12-3300-12-3300−3i3i00i−2i−i2i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i0000000000000000000000000
χ5544-4-4004i−4i1-20−2−2i2+2i−2+2i2−2i1-2-123-300-123-3003i−3i00i−2i−i2i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i0000000000000000000000000
χ5644-4-4004i−4i1-20−2−2i2+2i−2+2i2−2i1-2-12-3300-12-3300−3i3i00i−2i−i2i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i0000000000000000000000000
χ5744-4-4004i−4i-2102+2i−2−2i2−2i−2+2i-212-1003-32-1003-3003i−3i−2ii2i−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i0000000000000000000000000
χ5844-4-4004i−4i-2102+2i−2−2i2−2i−2+2i-212-100-332-100-3300−3i3i−2ii2i−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i0000000000000000000000000
χ5944-4-4004i−4i-210−2−2i2+2i−2+2i2−2i-212-1003-32-1003-3003i−3i−2ii2i−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i0000000000000000000000000
χ6044-4-4004i−4i-210−2−2i2+2i−2+2i2−2i-212-100-332-100-3300−3i3i−2ii2i−i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i0000000000000000000000000
χ6144-4-400−4i4i1-202−2i−2+2i2+2i−2−2i1-2-123-300-123-300−3i3i00−i2ii−2i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i0000000000000000000000000
χ6244-4-400−4i4i1-202−2i−2+2i2+2i−2−2i1-2-12-3300-12-33003i−3i00−i2ii−2i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i0000000000000000000000000
χ6344-4-400−4i4i1-20−2+2i2−2i−2−2i2+2i1-2-123-300-123-300−3i3i00−i2ii−2i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i0000000000000000000000000
χ6444-4-400−4i4i1-20−2+2i2−2i−2−2i2+2i1-2-12-3300-12-33003i−3i00−i2ii−2i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i0000000000000000000000000
χ6544-4-400−4i4i-2102−2i−2+2i2+2i−2−2i-212-1003-32-1003-300−3i3i2i−i−2ii−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i0000000000000000000000000
χ6644-4-400−4i4i-2102−2i−2+2i2+2i−2−2i-212-100-332-100-33003i−3i2i−i−2ii−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i0000000000000000000000000
χ6744-4-400−4i4i-210−2+2i2−2i−2−2i2+2i-212-1003-32-1003-300−3i3i2i−i−2ii1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i0000000000000000000000000
χ6844-4-400−4i4i-210−2+2i2−2i−2−2i2+2i-212-100-332-100-33003i−3i2i−i−2ii1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i0000000000000000000000000
χ694-4-4400004400000-4-4-4-400004400000000000000000000000000004-4-44000000000000000000000
χ704-4-4400004400000-4-4-4-40000440000000000000000000000000000-444-4000000000000000000000
χ718-88-88-8002-400000-242-4-2-244-2422-4-40000000000000000000000000000000000000000000000000
χ728-88-88-800-42000004-2-4244-2-24-2-4-4220000000000000000000000000000000000000000000000000
χ738-88-8-88002-400000-242-422-4-4-24-2-2440000000000000000000000000000000000000000000000000
χ748-88-8-8800-42000004-2-42-4-4224-244-2-20000000000000000000000000000000000000000000000000
χ758-8-8800002-400000-24-246-6002-4-66000000000000000000000000000000000000000000000000000
χ768-8-8800002-400000-24-24-66002-46-6000000000000000000000000000000000000000000000000000
χ778-8-880000-42000004-24-2006-6-4200-660000000000000000000000000000000000000000000000000
χ788-8-880000-42000004-24-200-66-42006-60000000000000000000000000000000000000000000000000

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