Finite Group Databasebeta

← Group #11773855

Character table — Group #11773855

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112244444444444444444444448888888888888888888888881818181818181818363636367272727272727272
order1222222233444466666666666666666666661212121212121212121212121212121222224444224488888888
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
χ9111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1
χ10111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11
χ11111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ12111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ13111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111i−i−iii−i−ii
χ14111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111−iii−i−iii−i
χ15111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11-1-11-111-1
χ16111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-111-11-1-11
χ172222-2-200222-20022-2-2-2-2-2-2-2-22222000000002222-2-2-2-20000000022-2-222-2-2000000000000
χ182222-2-200222-20022-2-2-2-2-2-2-2-22222000000002222-2-2-2-200000000-2-222-2-222000000000000
χ192222-2-20022-220022-2-2-2-2-2-2-2-2222200000000-2-2-2-222220000000022-2-2-2-222000000000000
χ202222-2-20022-220022-2-2-2-2-2-2-2-2222200000000-2-2-2-2222200000000-2-22222-2-2000000000000
χ2122-2-22-20022002i−2i222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i00002i−2i2i−2i2-20000000000
χ2222-2-22-20022002i−2i222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0000−2i2i−2i2i-220000000000
χ2322-2-22-2002200−2i2i222222-2-2-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i00002i−2i2i−2i-220000000000
χ2422-2-22-2002200−2i2i222222-2-2-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0000−2i2i−2i2i2-20000000000
χ2522-2-2-222-222000022-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000002i−2i−2i2i002i−2i00000000
χ2622-2-2-222-222000022-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000−2i2i2i−2i00−2i2i00000000
χ2722-2-2-22-2222000022-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000002i−2i−2i2i00−2i2i00000000
χ2822-2-2-22-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000−2i2i2i−2i002i−2i00000000
χ29444444441-244441-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ30444444441-2-4-4-4-41-211-2-211-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000
χ3144444444-214444-21-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ3244444444-21-4-4-4-4-21-2-211-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000
χ33444444-4-41-244-4-41-211-2-211-2-211-2-2-1-122-1-12211-2-211-2-2-1-122-1-12200000000000000000000
χ34444444-4-41-2-4-4441-211-2-211-2-211-2-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ35444444-4-4-2144-4-4-21-2-211-2-211-2-21122-1-122-1-1-2-211-2-21122-1-122-1-100000000000000000000
χ36444444-4-4-21-4-444-21-2-211-2-211-2-21122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ374444-4-4001-24-4001-2-1-122-1-12211-2-23-3003-30011-2-2-1-1223-3003-30000000000000000000000
χ384444-4-4001-24-4001-2-1-122-1-12211-2-2-3300-330011-2-2-1-122-3300-330000000000000000000000
χ394444-4-4001-2-44001-2-1-122-1-12211-2-23-3003-300-1-12211-2-2-3300-330000000000000000000000
χ404444-4-4001-2-44001-2-1-122-1-12211-2-2-3300-3300-1-12211-2-23-3003-30000000000000000000000
χ414444-4-400-214-400-2122-1-122-1-1-2-211003-3003-3-2-21122-1-1003-3003-300000000000000000000
χ424444-4-400-214-400-2122-1-122-1-1-2-21100-3300-33-2-21122-1-100-3300-3300000000000000000000
χ434444-4-400-21-4400-2122-1-122-1-1-2-211003-3003-322-1-1-2-21100-3300-3300000000000000000000
χ444444-4-400-21-4400-2122-1-122-1-1-2-21100-3300-3322-1-1-2-211003-3003-300000000000000000000
χ4544-4-44-4001-2004i−4i1-211-2-2-1-122-1-1223-300-33003i−3i003i−3i00ii−2i−2i−i−i2i2i00000000000000000000
χ4644-4-44-4001-2004i−4i1-211-2-2-1-122-1-122-33003-300−3i3i00−3i3i00ii−2i−2i−i−i2i2i00000000000000000000
χ4744-4-44-4001-200−4i4i1-211-2-2-1-122-1-1223-300-3300−3i3i00−3i3i00−i−i2i2iii−2i−2i00000000000000000000
χ4844-4-44-4001-200−4i4i1-211-2-2-1-122-1-122-33003-3003i−3i003i−3i00−i−i2i2iii−2i−2i00000000000000000000
χ4944-4-44-400-21004i−4i-21-2-21122-1-122-1-1003-300-33003i−3i003i−3i−2i−2iii2i2i−i−i00000000000000000000
χ5044-4-44-400-21004i−4i-21-2-21122-1-122-1-100-33003-300−3i3i00−3i3i−2i−2iii2i2i−i−i00000000000000000000
χ5144-4-44-400-2100−4i4i-21-2-21122-1-122-1-1003-300-3300−3i3i00−3i3i2i2i−i−i−2i−2iii00000000000000000000
χ5244-4-44-400-2100−4i4i-21-2-21122-1-122-1-100-33003-3003i−3i003i−3i2i2i−i−i−2i−2iii00000000000000000000
χ5344-4-4-444-41-200001-2-1-12211-2-2-1-12211-2-2-1-1223i−3i00−3i3i003i−3i00−3i3i0000000000000000000000
χ5444-4-4-444-41-200001-2-1-12211-2-2-1-12211-2-2-1-122−3i3i003i−3i00−3i3i003i−3i0000000000000000000000
χ5544-4-4-444-4-210000-2122-1-1-2-21122-1-1-2-21122-1-1003i−3i00−3i3i003i−3i00−3i3i00000000000000000000
χ5644-4-4-444-4-210000-2122-1-1-2-21122-1-1-2-21122-1-100−3i3i003i−3i00−3i3i003i−3i00000000000000000000
χ5744-4-4-44-441-200001-2-1-12211-2-2-1-122-1-12211-2-23i−3i00−3i3i00−3i3i003i−3i0000000000000000000000
χ5844-4-4-44-441-200001-2-1-12211-2-2-1-122-1-12211-2-2−3i3i003i−3i003i−3i00−3i3i0000000000000000000000
χ5944-4-4-44-44-210000-2122-1-1-2-21122-1-122-1-1-2-211003i−3i00−3i3i00−3i3i003i−3i00000000000000000000
χ6044-4-4-44-44-210000-2122-1-1-2-21122-1-122-1-1-2-21100−3i3i003i−3i003i−3i00−3i3i00000000000000000000
χ614-44-40000440000-4-4000000004-44-4000000000000000000000000004-40000000000000000
χ624-44-40000440000-4-4000000004-44-400000000000000000000000000-440000000000000000
χ634-4-440000440000-4-400000000-44-440000000000000000000000004-4000000000000000000
χ644-4-440000440000-4-400000000-44-44000000000000000000000000-44000000000000000000
χ658-88-800002-40000-246-6006-6002-2-4400000000000000000000000000000000000000000000
χ668-88-800002-40000-24-6600-66002-2-4400000000000000000000000000000000000000000000
χ678-88-80000-4200004-2006-6006-6-442-200000000000000000000000000000000000000000000
χ688-88-80000-4200004-200-6600-66-442-200000000000000000000000000000000000000000000
χ698-8-8800002-40000-246-600-6600-224-400000000000000000000000000000000000000000000
χ708-8-8800002-40000-24-66006-600-224-400000000000000000000000000000000000000000000
χ718-8-880000-4200004-2006-600-664-4-2200000000000000000000000000000000000000000000
χ728-8-880000-4200004-200-66006-64-4-2200000000000000000000000000000000000000000000

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