Finite Group Databasebeta

← Group #11773875

Character table — Group #11773875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112244444444444444444444448888888888888888888888881818181818181818363636367272727272727272
order122222334444446666666666666612121212121212121212121212121212121212121212121222224444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i
χ61111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii
χ71111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ81111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ911111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1
χ1011111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11
χ1111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ1211111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ1311111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111i−i−iii−i−ii
χ1411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111−iii−i−iii−i
χ1511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11-1-11-111-1
χ1611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-111-11-1-11
χ172222-2-222002-20022-2-2-2-2-2-2-2-22222000000002222-2-2-2-20000000022-2-222-2-2000000000000
χ182222-2-222002-20022-2-2-2-2-2-2-2-22222000000002222-2-2-2-200000000-2-222-2-222000000000000
χ192222-2-22200-220022-2-2-2-2-2-2-2-2222200000000-2-2-2-222220000000022-2-2-2-222000000000000
χ202222-2-22200-220022-2-2-2-2-2-2-2-2222200000000-2-2-2-2222200000000-2-22222-2-2000000000000
χ212-22-22-22200002i−2i-2-22222-2-2-2-222-2-200000000000000002i2i2i2i−2i−2i−2i−2i00002i−2i2i−2i2-20000000000
χ222-22-22-22200002i−2i-2-22222-2-2-2-222-2-200000000000000002i2i2i2i−2i−2i−2i−2i0000−2i2i−2i2i-220000000000
χ232-22-22-2220000−2i2i-2-22222-2-2-2-222-2-20000000000000000−2i−2i−2i−2i2i2i2i2i00002i−2i2i−2i-220000000000
χ242-22-22-2220000−2i2i-2-22222-2-2-2-222-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0000−2i2i−2i2i2-20000000000
χ252-22-2-22222-20000-2-2-2-2-2-2222222-2-22222-2-2-2-2000000000000000000002i−2i−2i2i002i−2i00000000
χ262-22-2-22222-20000-2-2-2-2-2-2222222-2-22222-2-2-2-200000000000000000000−2i2i2i−2i00−2i2i00000000
χ272-22-2-2222-220000-2-2-2-2-2-2222222-2-2-2-2-2-22222000000000000000000002i−2i−2i2i00−2i2i00000000
χ282-22-2-2222-220000-2-2-2-2-2-2222222-2-2-2-2-2-2222200000000000000000000−2i2i2i−2i002i−2i00000000
χ294444441-24444441-211-2-211-2-21-21-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ304444441-244-4-4-4-41-211-2-211-2-21-21-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000
χ314444441-2-4-444-4-41-211-2-211-2-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-12200000000000000000000
χ324444441-2-4-4-4-4441-211-2-211-2-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ33444444-21444444-21-2-211-2-211-21-21-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ34444444-2144-4-4-4-4-21-2-211-2-211-21-21-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000
χ35444444-21-4-444-4-4-21-2-211-2-211-21-2122-1-122-1-1-2-211-2-21122-1-122-1-100000000000000000000
χ36444444-21-4-4-4-444-21-2-211-2-211-21-2122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ374444-4-41-2004-4001-2-1-122-1-1221-21-23-3003-30011-2-2-1-1223-3003-30000000000000000000000
χ384444-4-41-2004-4001-2-1-122-1-1221-21-2-3300-330011-2-2-1-122-3300-330000000000000000000000
χ394444-4-41-200-44001-2-1-122-1-1221-21-23-3003-300-1-12211-2-2-3300-330000000000000000000000
χ404444-4-41-200-44001-2-1-122-1-1221-21-2-3300-3300-1-12211-2-23-3003-30000000000000000000000
χ414444-4-4-21004-400-2122-1-122-1-1-21-21003-3003-3-2-21122-1-1003-3003-300000000000000000000
χ424444-4-4-21004-400-2122-1-122-1-1-21-2100-3300-33-2-21122-1-100-3300-3300000000000000000000
χ434444-4-4-2100-4400-2122-1-122-1-1-21-21003-3003-322-1-1-2-21100-3300-3300000000000000000000
χ444444-4-4-2100-4400-2122-1-122-1-1-21-2100-3300-3322-1-1-2-211003-3003-300000000000000000000
χ4544-4-400440000004400000000-4-4-4-4000000000000000000000000004-40000000000000000
χ4644-4-400440000004400000000-4-4-4-400000000000000000000000000-440000000000000000
χ474-44-44-41-200004i−4i-1211-2-2-1-1221-2-123-300-33003i−3i003i−3i00ii−2i−2i−i−i2i2i00000000000000000000
χ484-44-44-41-200004i−4i-1211-2-2-1-1221-2-12-33003-300−3i3i00−3i3i00ii−2i−2i−i−i2i2i00000000000000000000
χ494-44-44-41-20000−4i4i-1211-2-2-1-1221-2-123-300-3300−3i3i00−3i3i00−i−i2i2iii−2i−2i00000000000000000000
χ504-44-44-41-20000−4i4i-1211-2-2-1-1221-2-12-33003-3003i−3i003i−3i00−i−i2i2iii−2i−2i00000000000000000000
χ514-44-44-4-2100004i−4i2-1-2-21122-1-1-212-1003-300-33003i−3i003i−3i−2i−2iii2i2i−i−i00000000000000000000
χ524-44-44-4-2100004i−4i2-1-2-21122-1-1-212-100-33003-300−3i3i00−3i3i−2i−2iii2i2i−i−i00000000000000000000
χ534-44-44-4-210000−4i4i2-1-2-21122-1-1-212-1003-300-3300−3i3i00−3i3i2i2i−i−i−2i−2iii00000000000000000000
χ544-44-44-4-210000−4i4i2-1-2-21122-1-1-212-100-33003-3003i−3i003i−3i2i2i−i−i−2i−2iii00000000000000000000
χ554-44-4-441-24-40000-12-1-12211-2-21-2-1211-2-2-1-1223i−3i00−3i3i003i−3i00−3i3i0000000000000000000000
χ564-44-4-441-24-40000-12-1-12211-2-21-2-1211-2-2-1-122−3i3i003i−3i00−3i3i003i−3i0000000000000000000000
χ574-44-4-441-2-440000-12-1-12211-2-21-2-12-1-12211-2-23i−3i00−3i3i00−3i3i003i−3i0000000000000000000000
χ584-44-4-441-2-440000-12-1-12211-2-21-2-12-1-12211-2-2−3i3i003i−3i003i−3i00−3i3i0000000000000000000000
χ594-44-4-44-214-400002-122-1-1-2-211-212-1-2-21122-1-1003i−3i00−3i3i003i−3i00−3i3i00000000000000000000
χ604-44-4-44-214-400002-122-1-1-2-211-212-1-2-21122-1-100−3i3i003i−3i00−3i3i003i−3i00000000000000000000
χ614-44-4-44-21-4400002-122-1-1-2-211-212-122-1-1-2-211003i−3i00−3i3i00−3i3i003i−3i00000000000000000000
χ624-44-4-44-21-4400002-122-1-1-2-211-212-122-1-1-2-21100−3i3i003i−3i003i−3i00−3i3i00000000000000000000
χ634-4-440044000000-4-400000000-4-4440000000000000000000000004-4000000000000000000
χ644-4-440044000000-4-400000000-4-444000000000000000000000000-44000000000000000000
χ6588-8-8002-40000002-46-6006-600-24-2400000000000000000000000000000000000000000000
χ6688-8-8002-40000002-4-6600-6600-24-2400000000000000000000000000000000000000000000
χ6788-8-800-42000000-42006-6006-64-24-200000000000000000000000000000000000000000000
χ6888-8-800-42000000-4200-6600-664-24-200000000000000000000000000000000000000000000
χ698-8-88002-4000000-246-600-6600-242-400000000000000000000000000000000000000000000
χ708-8-88002-4000000-24-66006-600-242-400000000000000000000000000000000000000000000
χ718-8-8800-420000004-2006-600-664-2-4200000000000000000000000000000000000000000000
χ728-8-8800-420000004-200-66006-64-2-4200000000000000000000000000000000000000000000

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