Finite Group Databasebeta

← Group #11776950

Character table — Group #11776950

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444444444888888888888888888888888999918183636363636367272727272727272
order1222442334666666888812121212121212126666121212122424242424242424242424242424242444444444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−iiii−i−i−i
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−iiii
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-1
χ61111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111
χ71111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−i−iii
χ81111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iiii−i−i
χ9111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-1-11-1
χ10111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-11
χ11111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111i−i−ii−ii−ii
χ12111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−iii−ii−ii−i
χ13111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-11-1-11
χ14111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-111-1
χ15111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1i−i−i−iiii−i
χ16111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1−iiii−i−i−ii
χ172222-2-2222-22222220000-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-22-2000000000000
χ182222-2-2222-22222220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-2-2-222-22000000000000
χ192222-2-2-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-2-22000000000000
χ202222-2-2-22222222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2222-2000000000000
χ2122-2-22-20220-2-2-2-222002-2-2-2-2-2222200000000000000002222-2-2-2-22i−2i2i−2i2i−2i00002i−2i00000000
χ2222-2-22-20220-2-2-2-222002-2-2-2-2-2222200000000000000002222-2-2-2-2−2i2i−2i2i−2i2i0000−2i2i00000000
χ2322-2-22-20220-2-2-2-22200-22-2-2-2-222220000000000000000-2-2-2-222222i−2i2i−2i2i−2i0000−2i2i00000000
χ2422-2-22-20220-2-2-2-22200-22-2-2-2-222220000000000000000-2-2-2-22222−2i2i−2i2i−2i2i00002i−2i00000000
χ2522-2-2-220220-2-2-2-2222i−2i002222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i000000002i−2i2i−2i−2i2i002-20000000000
χ2622-2-2-220220-2-2-2-2222i−2i002222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000−2i2i−2i2i2i−2i00-220000000000
χ2722-2-2-220220-2-2-2-222−2i2i002222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i000000002i−2i2i−2i−2i2i00-220000000000
χ2822-2-2-220220-2-2-2-222−2i2i002222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000−2i2i−2i2i2i−2i002-20000000000
χ2944444441-2411-2-21-2444411-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ3044444441-2411-2-21-2-4-4-4-411-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000
χ314444444-214-2-211-214444-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ324444444-214-2-211-21-4-4-4-4-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000
χ33444444-41-2-411-2-21-244-4-411-2-211-2-2-1-122-1-12211-2-211-2-2-1-122-1-12200000000000000000000
χ34444444-41-2-411-2-21-2-4-44411-2-211-2-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ35444444-4-21-4-2-211-2144-4-4-2-211-2-21122-1-122-1-1-2-211-2-21122-1-122-1-100000000000000000000
χ36444444-4-21-4-2-211-21-4-444-2-211-2-21122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ374444-4-441-2-411-2-21-20000-1-122-1-12211-2-2-1-1223i−3i003i−3i003i−3i003i−3i0000000000000000000000
χ384444-4-441-2-411-2-21-20000-1-122-1-12211-2-2-1-122−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000
χ394444-4-44-21-4-2-211-21000022-1-122-1-1-2-21122-1-1003i−3i003i−3i003i−3i003i−3i00000000000000000000
χ404444-4-44-21-4-2-211-21000022-1-122-1-1-2-21122-1-100−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000
χ414444-4-4-41-2411-2-21-20000-1-122-1-122-1-12211-2-23i−3i003i−3i00−3i3i00−3i3i0000000000000000000000
χ424444-4-4-41-2411-2-21-20000-1-122-1-122-1-12211-2-2−3i3i00−3i3i003i−3i003i−3i0000000000000000000000
χ434444-4-4-4-214-2-211-21000022-1-122-1-122-1-1-2-211003i−3i003i−3i00−3i3i00−3i3i00000000000000000000
χ444444-4-4-4-214-2-211-21000022-1-122-1-122-1-1-2-21100−3i3i00−3i3i003i−3i003i−3i00000000000000000000
χ4544-4-44-401-20-1-1221-2004-4-1-12211-2-23-3003-3003-300-330011-2-2-1-12200000000000000000000
χ4644-4-44-401-20-1-1221-2004-4-1-12211-2-2-3300-3300-33003-30011-2-2-1-12200000000000000000000
χ4744-4-44-401-20-1-1221-200-44-1-12211-2-23-3003-300-33003-300-1-12211-2-200000000000000000000
χ4844-4-44-401-20-1-1221-200-44-1-12211-2-2-3300-33003-300-3300-1-12211-2-200000000000000000000
χ4944-4-44-40-21022-1-1-21004-422-1-1-2-211003-3003-3003-300-33-2-21122-1-100000000000000000000
χ5044-4-44-40-21022-1-1-21004-422-1-1-2-21100-3300-3300-33003-3-2-21122-1-100000000000000000000
χ5144-4-44-40-21022-1-1-2100-4422-1-1-2-211003-3003-300-33003-322-1-1-2-21100000000000000000000
χ5244-4-44-40-21022-1-1-2100-4422-1-1-2-21100-3300-33003-300-3322-1-1-2-21100000000000000000000
χ5344-4-4-4401-20-1-1221-24i−4i0011-2-2-1-1223-300-3300ii−2i−2i−i−i2i2i3i−3i00−3i3i0000000000000000000000
χ5444-4-4-4401-20-1-1221-24i−4i0011-2-2-1-122-33003-300ii−2i−2i−i−i2i2i−3i3i003i−3i0000000000000000000000
χ5544-4-4-4401-20-1-1221-2−4i4i0011-2-2-1-1223-300-3300−i−i2i2iii−2i−2i−3i3i003i−3i0000000000000000000000
χ5644-4-4-4401-20-1-1221-2−4i4i0011-2-2-1-122-33003-300−i−i2i2iii−2i−2i3i−3i00−3i3i0000000000000000000000
χ5744-4-4-440-21022-1-1-214i−4i00-2-21122-1-1003-300-33−2i−2iii2i2i−i−i003i−3i00−3i3i00000000000000000000
χ5844-4-4-440-21022-1-1-214i−4i00-2-21122-1-100-33003-3−2i−2iii2i2i−i−i00−3i3i003i−3i00000000000000000000
χ5944-4-4-440-21022-1-1-21−4i4i00-2-21122-1-1003-300-332i2i−i−i−2i−2iii00−3i3i003i−3i00000000000000000000
χ6044-4-4-440-21022-1-1-21−4i4i00-2-21122-1-100-33003-32i2i−i−i−2i−2iii003i−3i00−3i3i00000000000000000000
χ614-44-40004404-44-4-4-400000000000000000000000000000000000044-4-40000000000000000
χ624-44-40004404-44-4-4-4000000000000000000000000000000000000-4-4440000000000000000
χ634-4-44000440-44-44-4-40000000000000000000000000000000000004i−4i−4i4i0000000000000000
χ644-4-44000440-44-44-4-4000000000000000000000000000000000000−4i4i4i−4i0000000000000000
χ658-88-80002-402-2-44-2400006i−6i006i−6i0000000000000000000000000000000000000000000000
χ668-88-80002-402-2-44-240000−6i6i00−6i6i0000000000000000000000000000000000000000000000
χ678-88-8000-420-442-24-20000006i−6i006i−6i00000000000000000000000000000000000000000000
χ688-88-8000-420-442-24-2000000−6i6i00−6i6i00000000000000000000000000000000000000000000
χ698-8-880002-40-224-4-2400006i−6i00−6i6i0000000000000000000000000000000000000000000000
χ708-8-880002-40-224-4-240000−6i6i006i−6i0000000000000000000000000000000000000000000000
χ718-8-88000-4204-4-224-20000006i−6i00−6i6i00000000000000000000000000000000000000000000
χ728-8-88000-4204-4-224-2000000−6i6i006i−6i00000000000000000000000000000000000000000000

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