Finite Group Databasebeta

← Group #11785489

Character table — Group #11785489

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112244444444444444444444448888888888888888888888881818181818181818363636367272727272727272
order1244242334666666888812121212121212126666121212122424242424242424242424242424242422448888248844444444
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
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ61111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ71111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii
χ81111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i
χ9111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1
χ10111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11
χ11111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ12111111-111-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ13111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-111-1-11
χ14111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1-111-1
χ15111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1i−i−ii−iii−i
χ16111111-111-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1−iii−ii−i−ii
χ172222-2-20220-2-2-2-222002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i2-22-20000002i−2i00000000
χ182222-2-20220-2-2-2-222002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i-22-22000000−2i2i00000000
χ192222-2-20220-2-2-2-22200−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2-22-2000000−2i2i00000000
χ202222-2-20220-2-2-2-22200−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-22-220000002i−2i00000000
χ2122-2-22-2222-22222220000-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-20000-220000000000
χ2222-2-22-2222-22222220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-22200002-20000000000
χ2322-2-22-2-22222222220000-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-200002-20000000000
χ2422-2-22-2-22222222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2220000-220000000000
χ2522-2-2-220220-2-2-2-2222-200-2-2-2-22222000000002222-2-2-2-2000000002-2-2222-2-2000000000000
χ2622-2-2-220220-2-2-2-2222-200-2-2-2-22222000000002222-2-2-2-200000000-222-2-2-222000000000000
χ2722-2-2-220220-2-2-2-222-2200-2-2-2-2222200000000-2-2-2-22222000000002-2-22-2-222000000000000
χ2822-2-2-220220-2-2-2-222-2200-2-2-2-2222200000000-2-2-2-2222200000000-222-222-2-2000000000000
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
χ374444-4-401-20-1-1221-2004i−4i11-2-2-1-1223-3003-3003i−3i003i−3i00ii−2i−2i−i−i2i2i00000000000000000000
χ384444-4-401-20-1-1221-2004i−4i11-2-2-1-122-3300-3300−3i3i00−3i3i00ii−2i−2i−i−i2i2i00000000000000000000
χ394444-4-401-20-1-1221-200−4i4i11-2-2-1-1223-3003-300−3i3i00−3i3i00−i−i2i2iii−2i−2i00000000000000000000
χ404444-4-401-20-1-1221-200−4i4i11-2-2-1-122-3300-33003i−3i003i−3i00−i−i2i2iii−2i−2i00000000000000000000
χ414444-4-40-21022-1-1-21004i−4i-2-21122-1-1003-3003-3003i−3i003i−3i−2i−2iii2i2i−i−i00000000000000000000
χ424444-4-40-21022-1-1-21004i−4i-2-21122-1-100-3300-3300−3i3i00−3i3i−2i−2iii2i2i−i−i00000000000000000000
χ434444-4-40-21022-1-1-2100−4i4i-2-21122-1-1003-3003-300−3i3i00−3i3i2i2i−i−i−2i−2iii00000000000000000000
χ444444-4-40-21022-1-1-2100−4i4i-2-21122-1-100-3300-33003i−3i003i−3i2i2i−i−i−2i−2iii00000000000000000000
χ4544-4-44-441-2-411-2-21-20000-1-122-1-12211-2-2-1-1223i−3i00−3i3i003i−3i003i−3i0000000000000000000000
χ4644-4-44-441-2-411-2-21-20000-1-122-1-12211-2-2-1-122−3i3i003i−3i00−3i3i00−3i3i0000000000000000000000
χ4744-4-44-44-21-4-2-211-21000022-1-122-1-1-2-21122-1-1003i−3i00−3i3i003i−3i003i−3i00000000000000000000
χ4844-4-44-44-21-4-2-211-21000022-1-122-1-1-2-21122-1-100−3i3i003i−3i00−3i3i00−3i3i00000000000000000000
χ4944-4-44-4-41-2411-2-21-20000-1-122-1-122-1-12211-2-23i−3i00−3i3i00−3i3i00−3i3i0000000000000000000000
χ5044-4-44-4-41-2411-2-21-20000-1-122-1-122-1-12211-2-2−3i3i003i−3i003i−3i003i−3i0000000000000000000000
χ5144-4-44-4-4-214-2-211-21000022-1-122-1-122-1-1-2-211003i−3i00−3i3i00−3i3i00−3i3i00000000000000000000
χ5244-4-44-4-4-214-2-211-21000022-1-122-1-122-1-1-2-21100−3i3i003i−3i003i−3i003i−3i00000000000000000000
χ5344-4-4-4401-20-1-1221-24-400-1-12211-2-23-300-330011-2-2-1-1223-300-330000000000000000000000
χ5444-4-4-4401-20-1-1221-24-400-1-12211-2-2-33003-30011-2-2-1-122-33003-30000000000000000000000
χ5544-4-4-4401-20-1-1221-2-4400-1-12211-2-23-300-3300-1-12211-2-2-33003-30000000000000000000000
χ5644-4-4-4401-20-1-1221-2-4400-1-12211-2-2-33003-300-1-12211-2-23-300-330000000000000000000000
χ5744-4-4-440-21022-1-1-214-40022-1-1-2-211003-300-33-2-21122-1-1003-300-3300000000000000000000
χ5844-4-4-440-21022-1-1-214-40022-1-1-2-21100-33003-3-2-21122-1-100-33003-300000000000000000000
χ5944-4-4-440-21022-1-1-21-440022-1-1-2-211003-300-3322-1-1-2-21100-33003-300000000000000000000
χ6044-4-4-440-21022-1-1-21-440022-1-1-2-21100-33003-322-1-1-2-211003-300-3300000000000000000000
χ614-44i−4i0004400000-4-400004i−4i4i−4i000000000000000000000000000000002i2−2i222−22000000000000
χ624-44i−4i0004400000-4-400004i−4i4i−4i00000000000000000000000000000000−2i22i2−2222000000000000
χ634-4−4i4i0004400000-4-40000−4i4i−4i4i000000000000000000000000000000002i2−2i2−2222000000000000
χ644-4−4i4i0004400000-4-40000−4i4i−4i4i00000000000000000000000000000000−2i22i222−22000000000000
χ658-88i−8i0002-406-600-2400002i−2i−4i4i6i−6i0000000000000000000000000000000000000000000000
χ668-88i−8i0002-40-6600-2400002i−2i−4i4i−6i6i0000000000000000000000000000000000000000000000
χ678-88i−8i000-420006-64-20000−4i4i2i−2i006i−6i00000000000000000000000000000000000000000000
χ688-88i−8i000-42000-664-20000−4i4i2i−2i00−6i6i00000000000000000000000000000000000000000000
χ698-8−8i8i0002-406-600-240000−2i2i4i−4i−6i6i0000000000000000000000000000000000000000000000
χ708-8−8i8i0002-40-6600-240000−2i2i4i−4i6i−6i0000000000000000000000000000000000000000000000
χ718-8−8i8i000-420006-64-200004i−4i−2i2i00−6i6i00000000000000000000000000000000000000000000
χ728-8−8i8i000-42000-664-200004i−4i−2i2i006i−6i00000000000000000000000000000000000000000000

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