Finite Group Databasebeta

← Group #11774554

Character table — Group #11774554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order122244442233444666666121212121212121266666666121212121212121212121212121212124444224422444888888888888
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
χ511111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-111111111-1-1-1-1
χ611111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111iiii−i−i−i−i−i−iii
χ811111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111−i−i−i−iiiiiii−i−i
χ9111111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-111-1-11-11-1
χ10111111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-111-11-11
χ11111111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1ii−i−i−i−iiii−i−ii
χ12111111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1−i−iiiii−i−i−iii−i
χ13111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-111-1-111-1-1-11-11
χ14111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-111-1-1111-11-1
χ15111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111ii−i−i−i−iii−iii−i
χ16111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111−i−iiiii−i−ii−i−ii
χ172222-2-2220022-2002222222222222200000000-2-2-2-2-2-2-2-200000000222222-2-200-200000000000000
χ182222-2-2220022-2002222222222222200000000-2-2-2-2-2-2-2-200000000-2-2-2-2-2-22200200000000000000
χ192222-2-2-2-20022200222222-2-2-2-2-2-2-2-200000000-2-2-2-22222000000002222-2-2-2-200200000000000000
χ202222-2-2-2-20022200222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000-2-2-2-2222200-200000000000000
χ2122-2-22-200002202i−2i22-2-2-2-2000000000000000022-2-200002i2i2i2i−2i−2i−2i−2i2i−2i2i−2i002i−2i2-2000000000000000
χ2222-2-22-200002202i−2i22-2-2-2-2000000000000000022-2-200002i2i2i2i−2i−2i−2i−2i−2i2i−2i2i00−2i2i-22000000000000000
χ2322-2-22-20000220−2i2i22-2-2-2-2000000000000000022-2-20000−2i−2i−2i−2i2i2i2i2i2i−2i2i−2i002i−2i-22000000000000000
χ2422-2-22-20000220−2i2i22-2-2-2-2000000000000000022-2-20000−2i−2i−2i−2i2i2i2i2i−2i2i−2i2i00−2i2i2-2000000000000000
χ2522-2-2-22002-22200022-2-2-2-2000000002222-2-2-2-2-2-2220000000000002i−2i2i−2i00−2i2i0002i−2i000000000000
χ2622-2-2-22002-22200022-2-2-2-2000000002222-2-2-2-2-2-222000000000000−2i2i−2i2i002i−2i000−2i2i000000000000
χ2722-2-2-2200-222200022-2-2-2-200000000-2-2-2-22222-2-2220000000000002i−2i2i−2i00−2i2i000−2i2i000000000000
χ2822-2-2-2200-222200022-2-2-2-200000000-2-2-2-22222-2-222000000000000−2i2i−2i2i002i−2i0002i−2i000000000000
χ292-2-22002-20022000-2-2-2-2222222-2-2-2-200000000000000000000000022-2-22-20000000i2−i2i2−i2i2−i2i2−i20000
χ302-2-22002-20022000-2-2-2-2222222-2-2-2-200000000000000000000000022-2-22-20000000−i2i2−i2i2−i2i2−i2i20000
χ312-2-22002-20022000-2-2-2-2222222-2-2-2-2000000000000000000000000-2-222-2200000002−22−2−22−220000
χ322-2-22002-20022000-2-2-2-2222222-2-2-2-2000000000000000000000000-2-222-220000000−22−222−22−20000
χ332-2-2200-220022000-2-2-2-222-2-2-2-2222200000000000000000000000022-2-2-220000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-2200-220022000-2-2-2-222-2-2-2-2222200000000000000000000000022-2-2-220000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-2200-220022000-2-2-2-222-2-2-2-22222000000000000000000000000-2-2222-200000002−2−22−222−20000
χ362-2-2200-220022000-2-2-2-222-2-2-2-22222000000000000000000000000-2-2222-20000000−222−22−2−220000
χ3744444444441-24441-21-21-211-2-211-2-211-2-211-2-21-21-211-2-211-2-211-2-20000000000000000000000000
χ384444444444-21444-21-21-21-2-211-2-211-2-211-2-211-21-21-2-211-2-211-2-2110000000000000000000000000
χ3944444444-4-41-24-4-41-21-21-211-2-211-2-2-1-122-1-1221-21-211-2-2-1-122-1-1220000000000000000000000000
χ4044444444-4-4-214-4-4-21-21-21-2-211-2-21122-1-122-1-1-21-21-2-21122-1-122-1-10000000000000000000000000
χ41444444-4-4441-2-4-4-41-21-21-2-1-122-1-12211-2-211-2-21-21-2-1-122-1-122-1-1220000000000000000000000000
χ42444444-4-444-21-4-4-4-21-21-2122-1-122-1-1-2-211-2-211-21-2122-1-122-1-122-1-10000000000000000000000000
χ43444444-4-4-4-41-2-4441-21-21-2-1-122-1-122-1-122-1-1221-21-2-1-12211-2-211-2-20000000000000000000000000
χ44444444-4-4-4-4-21-444-21-21-2122-1-122-1-122-1-122-1-1-21-2122-1-1-2-211-2-2110000000000000000000000000
χ454444-4-444001-2-4001-21-21-211-2-211-2-23-3003-300-12-12-1-1223-3003-3000000000000000000000000000
χ464444-4-444001-2-4001-21-21-211-2-211-2-2-3300-3300-12-12-1-122-3300-33000000000000000000000000000
χ474444-4-44400-21-400-21-21-21-2-211-2-211003-3003-32-12-122-1-1003-3003-30000000000000000000000000
χ484444-4-44400-21-400-21-21-21-2-211-2-21100-3300-332-12-122-1-100-3300-330000000000000000000000000
χ494444-4-4-4-4001-24001-21-21-2-1-122-1-1223-3003-300-12-1211-2-2-3300-33000000000000000000000000000
χ504444-4-4-4-4001-24001-21-21-2-1-122-1-122-3300-3300-12-1211-2-23-3003-3000000000000000000000000000
χ514444-4-4-4-400-21400-21-21-2122-1-122-1-1003-3003-32-12-1-2-21100-3300-330000000000000000000000000
χ524444-4-4-4-400-21400-21-21-2122-1-122-1-100-3300-332-12-1-2-211003-3003-30000000000000000000000000
χ5344-4-44-400001-204i−4i1-2-12-123i−3i003i−3i003-300-33001-2-123i−3i00ii−2i−2i−i−i2i2i0000000000000000000000000
χ5444-4-44-400001-204i−4i1-2-12-12−3i3i00−3i3i00-33003-3001-2-12−3i3i00ii−2i−2i−i−i2i2i0000000000000000000000000
χ5544-4-44-400001-20−4i4i1-2-12-123i−3i003i−3i00-33003-3001-2-123i−3i00−i−i2i2iii−2i−2i0000000000000000000000000
χ5644-4-44-400001-20−4i4i1-2-12-12−3i3i00−3i3i003-300-33001-2-12−3i3i00−i−i2i2iii−2i−2i0000000000000000000000000
χ5744-4-44-40000-2104i−4i-212-12-1003i−3i003i−3i003-300-33-212-1003i−3i−2i−2iii2i2i−i−i0000000000000000000000000
χ5844-4-44-40000-2104i−4i-212-12-100−3i3i00−3i3i00-33003-3-212-100−3i3i−2i−2iii2i2i−i−i0000000000000000000000000
χ5944-4-44-40000-210−4i4i-212-12-1003i−3i003i−3i00-33003-3-212-1003i−3i2i2i−i−i−2i−2iii0000000000000000000000000
χ6044-4-44-40000-210−4i4i-212-12-100−3i3i00−3i3i003-300-33-212-100−3i3i2i2i−i−i−2i−2iii0000000000000000000000000
χ6144-4-4-44004-41-20001-2-12-123i−3i003i−3i0011-2-2-1-122-121-2−3i3i003i−3i00−3i3i000000000000000000000000000
χ6244-4-4-44004-41-20001-2-12-12−3i3i00−3i3i0011-2-2-1-122-121-23i−3i00−3i3i003i−3i000000000000000000000000000
χ6344-4-4-44004-4-21000-212-12-1003i−3i003i−3i-2-21122-1-12-1-2100−3i3i003i−3i00−3i3i0000000000000000000000000
χ6444-4-4-44004-4-21000-212-12-100−3i3i00−3i3i-2-21122-1-12-1-21003i−3i00−3i3i003i−3i0000000000000000000000000
χ6544-4-4-4400-441-20001-2-12-123i−3i003i−3i00-1-12211-2-2-121-2−3i3i00−3i3i003i−3i000000000000000000000000000
χ6644-4-4-4400-441-20001-2-12-12−3i3i00−3i3i00-1-12211-2-2-121-23i−3i003i−3i00−3i3i000000000000000000000000000
χ6744-4-4-4400-44-21000-212-12-1003i−3i003i−3i22-1-1-2-2112-1-2100−3i3i00−3i3i003i−3i0000000000000000000000000
χ6844-4-4-4400-44-21000-212-12-100−3i3i00−3i3i22-1-1-2-2112-1-21003i−3i003i−3i00−3i3i0000000000000000000000000
χ694-44-400000044000-4-444-4-4000000000000000000000000000000004i−4i−4i4i000000000000000000000
χ704-44-400000044000-4-444-4-400000000000000000000000000000000−4i4i4i−4i000000000000000000000
χ718-88-80000002-4000-242-4-246i−6i00−6i6i000000000000000000000000000000000000000000000000000
χ728-88-80000002-4000-242-4-24−6i6i006i−6i000000000000000000000000000000000000000000000000000
χ738-88-8000000-420004-2-424-2006i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ748-88-8000000-420004-2-424-200−6i6i006i−6i0000000000000000000000000000000000000000000000000
χ758-8-88008-8002-4000-24-242-422-4-4-2-2440000000000000000000000000000000000000000000000000
χ768-8-88008-800-420004-24-2-42-4-42244-2-20000000000000000000000000000000000000000000000000
χ778-8-8800-88002-4000-24-242-4-2-24422-4-40000000000000000000000000000000000000000000000000
χ788-8-8800-8800-420004-24-2-4244-2-2-4-4220000000000000000000000000000000000000000000000000

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