Finite Group Databasebeta

← Group #11785941

Character table — Group #11785941

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112224444444444444444444444888888888888888888888888181818183636363636367272727272727272
order1222233444444666666121212121212121266661212121212121212121212121212121212121212444444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-11-11-11-1
χ101111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-11-11-11
χ111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111i−ii−i−ii−ii
χ121111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−ii−iii−ii−i
χ131111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-111-1-11
χ141111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-111-1-111-1
χ151111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1i−i−ii−iii−i
χ161111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1−iii−ii−i−ii
χ17222-2-22200002i−2i22-2-2-2-20000000022-2-20000000000002i2i2i2i−2i−2i−2i−2i22-2-200002i−2i00000000
χ18222-2-22200002i−2i22-2-2-2-20000000022-2-20000000000002i2i2i2i−2i−2i−2i−2i-2-2220000−2i2i00000000
χ19222-2-2220000−2i2i22-2-2-2-20000000022-2-2000000000000−2i−2i−2i−2i2i2i2i2i22-2-20000−2i2i00000000
χ20222-2-2220000−2i2i22-2-2-2-20000000022-2-2000000000000−2i−2i−2i−2i2i2i2i2i-2-22200002i−2i00000000
χ2122-22-222002i−2i0022-2-2-2-200000000-2-22200002i2i2i2i−2i−2i−2i−2i000000002-22-2002i−2i0000000000
χ2222-22-222002i−2i0022-2-2-2-200000000-2-22200002i2i2i2i−2i−2i−2i−2i00000000-22-2200−2i2i0000000000
χ2322-22-22200−2i2i0022-2-2-2-200000000-2-2220000−2i−2i−2i−2i2i2i2i2i000000002-22-200−2i2i0000000000
χ2422-22-22200−2i2i0022-2-2-2-200000000-2-2220000−2i−2i−2i−2i2i2i2i2i00000000-22-22002i−2i0000000000
χ2522-2-22222-2000022222222222222-2-2-2-2-2-2-2-200000000000000002-2-222-2000000000000
χ2622-2-22222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000-222-2-22000000000000
χ2722-2-2222-220000222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002-2-22-22000000000000
χ2822-2-2222-220000222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-222-22-2000000000000
χ29444441-24444441-211-2-21111-2-2-2-21-21-211-2-211-2-211-2-211-2-211-2-2000000000000000000
χ30444441-244-4-4-4-41-211-2-21111-2-2-2-21-21-211-2-2-1-122-1-122-1-122-1-122000000000000000000
χ31444441-2-4-444-4-41-211-2-2-1-1-1-122221-21-2-1-12211-2-211-2-2-1-122-1-122000000000000000000
χ32444441-2-4-4-4-4441-211-2-2-1-1-1-122221-21-2-1-122-1-122-1-12211-2-211-2-2000000000000000000
χ3344444-21444444-21-2-211-2-2-2-21111-21-21-2-211-2-211-2-211-2-211-2-211000000000000000000
χ3444444-2144-4-4-4-4-21-2-211-2-2-2-21111-21-21-2-21122-1-122-1-122-1-122-1-1000000000000000000
χ3544444-21-4-444-4-4-21-2-2112222-1-1-1-1-21-2122-1-1-2-211-2-21122-1-122-1-1000000000000000000
χ3644444-21-4-4-4-444-21-2-2112222-1-1-1-1-21-2122-1-122-1-122-1-1-2-211-2-211000000000000000000
χ37444-4-41-200004i−4i1-2-1-12233-3-300001-2-123-3003i−3i003i−3i00ii−2i−2i−i−i2i2i000000000000000000
χ38444-4-41-200004i−4i1-2-1-122-3-33300001-2-12-3300−3i3i00−3i3i00ii−2i−2i−i−i2i2i000000000000000000
χ39444-4-41-20000−4i4i1-2-1-12233-3-300001-2-123-300−3i3i00−3i3i00−i−i2i2iii−2i−2i000000000000000000
χ40444-4-41-20000−4i4i1-2-1-122-3-33300001-2-12-33003i−3i003i−3i00−i−i2i2iii−2i−2i000000000000000000
χ41444-4-4-2100004i−4i-2122-1-1000033-3-3-212-1003-3003i−3i003i−3i−2i−2iii2i2i−i−i000000000000000000
χ42444-4-4-2100004i−4i-2122-1-10000-3-333-212-100-3300−3i3i00−3i3i−2i−2iii2i2i−i−i000000000000000000
χ43444-4-4-210000−4i4i-2122-1-1000033-3-3-212-1003-300−3i3i00−3i3i2i2i−i−i−2i−2iii000000000000000000
χ44444-4-4-210000−4i4i-2122-1-10000-3-333-212-100-33003i−3i003i−3i2i2i−i−i−2i−2iii000000000000000000
χ4544-44-41-2004i−4i001-2-1-12233-3-30000-121-2-3300ii−2i−2i−i−i2i2i3i−3i003i−3i00000000000000000000
χ4644-44-41-2004i−4i001-2-1-122-3-3330000-121-23-300ii−2i−2i−i−i2i2i−3i3i00−3i3i00000000000000000000
χ4744-44-41-200−4i4i001-2-1-12233-3-30000-121-2-3300−i−i2i2iii−2i−2i−3i3i00−3i3i00000000000000000000
χ4844-44-41-200−4i4i001-2-1-122-3-3330000-121-23-300−i−i2i2iii−2i−2i3i−3i003i−3i00000000000000000000
χ4944-44-4-21004i−4i00-2122-1-1000033-3-32-1-2100-33−2i−2iii2i2i−i−i003i−3i003i−3i000000000000000000
χ5044-44-4-21004i−4i00-2122-1-10000-3-3332-1-21003-3−2i−2iii2i2i−i−i00−3i3i00−3i3i000000000000000000
χ5144-44-4-2100−4i4i00-2122-1-1000033-3-32-1-2100-332i2i−i−i−2i−2iii00−3i3i00−3i3i000000000000000000
χ5244-44-4-2100−4i4i00-2122-1-10000-3-3332-1-21003-32i2i−i−i−2i−2iii003i−3i003i−3i000000000000000000
χ5344-4-441-24-400001-211-2-21111-2-2-2-2-12-12-1-1223-300-33003-300-3300000000000000000000
χ5444-4-441-24-400001-211-2-21111-2-2-2-2-12-12-1-122-33003-300-33003-300000000000000000000
χ5544-4-441-2-4400001-211-2-2-1-1-1-12222-12-1211-2-23-300-3300-33003-300000000000000000000
χ5644-4-441-2-4400001-211-2-2-1-1-1-12222-12-1211-2-2-33003-3003-300-3300000000000000000000
χ5744-4-44-214-40000-21-2-211-2-2-2-211112-12-122-1-1003-300-33003-300-33000000000000000000
χ5844-4-44-214-40000-21-2-211-2-2-2-211112-12-122-1-100-33003-300-33003-3000000000000000000
χ5944-4-44-21-440000-21-2-2112222-1-1-1-12-12-1-2-211003-300-3300-33003-3000000000000000000
χ6044-4-44-21-440000-21-2-2112222-1-1-1-12-12-1-2-21100-33003-3003-300-33000000000000000000
χ618-80002-4000000-246-60023−2323−230043−43000000000000000000000000000000000000000000
χ628-80002-4000000-246-600−2323−232300−4343000000000000000000000000000000000000000000
χ638-80002-4000000-24-660023−23−232343−4300000000000000000000000000000000000000000000
χ648-80002-4000000-24-6600−232323−23−434300000000000000000000000000000000000000000000
χ658-800088000000-8-8000000000000000000000000000000000000000000000000000000
χ668-8000-420000004-2006-60043−4323−23−2323000000000000000000000000000000000000000000
χ678-8000-420000004-2006-600−4343−232323−23000000000000000000000000000000000000000000
χ688-8000-420000004-200-6643−4300−2323−2323000000000000000000000000000000000000000000
χ698-8000-420000004-200-66−43430023−2323−23000000000000000000000000000000000000000000

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