Finite Group Databasebeta

← Group #11786160

Character table — Group #11786160

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112244444444444444444444448888888888888888888888881818181818181818363636367272727272727272
order12442433446666668888121212121212121212121212121212122424242424242424242424242424242422444444888844448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1
χ61111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11
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−i−iii−i−ii
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−iii−i−iii−i
χ911111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-11-11
χ1011111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-111-11-1
χ1111111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111i−i−ii−iii−i
χ1211111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−iii−ii−i−ii
χ1311111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1
χ1411111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11111
χ1511111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1ii−i−i−i−iii
χ1611111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1−i−iiiii−i−i
χ172222-2-2220022-2-2-2-2002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i2-200002-2002i−2i00000000
χ182222-2-2220022-2-2-2-2002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i-220000-2200−2i2i00000000
χ192222-2-2220022-2-2-2-200−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2-200002-200−2i2i00000000
χ202222-2-2220022-2-2-2-200−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-220000-22002i−2i00000000
χ2122-2-22-222002222222i−2i00-2-2-2-2-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000220000-2-22i−2i0000000000
χ2222-2-22-222002222222i−2i00-2-2-2-2-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000-2-2000022−2i2i0000000000
χ2322-2-22-22200222222−2i2i00-2-2-2-2-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000220000-2-2−2i2i0000000000
χ2422-2-22-22200222222−2i2i00-2-2-2-2-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000-2-20000222i−2i0000000000
χ2522-2-2-22222i−2i22-2-2-2-20000-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000000000002-22i2i−2i−2i-22000000000000
χ2622-2-2-22222i−2i22-2-2-2-20000-2-2-2-222222i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i−2i2i2i2-2000000000000
χ2722-2-2-2222−2i2i22-2-2-2-20000-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000000000002-2−2i−2i2i2i-22000000000000
χ2822-2-2-2222−2i2i22-2-2-2-20000-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000-222i2i−2i−2i2-2000000000000
χ294444441-2441-211-2-2444411-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000
χ304444441-2441-211-2-2-4-4-4-411-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000
χ314444441-2-4-41-211-2-244-4-411-2-211-2-2-1-122-1-12211-2-211-2-2-1-122-1-12200000000000000000000
χ324444441-2-4-41-211-2-2-4-44411-2-211-2-2-1-122-1-122-1-122-1-12211-2-211-2-200000000000000000000
χ33444444-2144-21-2-2114444-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000
χ34444444-2144-21-2-211-4-4-4-4-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000
χ35444444-21-4-4-21-2-21144-4-4-2-211-2-21122-1-122-1-1-2-211-2-21122-1-122-1-100000000000000000000
χ36444444-21-4-4-21-2-211-4-444-2-211-2-21122-1-122-1-122-1-122-1-1-2-211-2-21100000000000000000000
χ374444-4-41-2001-2-1-122004i−4i11-2-2-1-1223i−3i003i−3i003-3003-300ii−2i−2i−i−i2i2i00000000000000000000
χ384444-4-41-2001-2-1-122004i−4i11-2-2-1-122−3i3i00−3i3i00-3300-3300ii−2i−2i−i−i2i2i00000000000000000000
χ394444-4-41-2001-2-1-12200−4i4i11-2-2-1-1223i−3i003i−3i00-3300-3300−i−i2i2iii−2i−2i00000000000000000000
χ404444-4-41-2001-2-1-12200−4i4i11-2-2-1-122−3i3i00−3i3i003-3003-300−i−i2i2iii−2i−2i00000000000000000000
χ414444-4-4-2100-2122-1-1004i−4i-2-21122-1-1003i−3i003i−3i003-3003-3−2i−2iii2i2i−i−i00000000000000000000
χ424444-4-4-2100-2122-1-1004i−4i-2-21122-1-100−3i3i00−3i3i00-3300-33−2i−2iii2i2i−i−i00000000000000000000
χ434444-4-4-2100-2122-1-100−4i4i-2-21122-1-1003i−3i003i−3i00-3300-332i2i−i−i−2i−2iii00000000000000000000
χ444444-4-4-2100-2122-1-100−4i4i-2-21122-1-100−3i3i00−3i3i003-3003-32i2i−i−i−2i−2iii00000000000000000000
χ4544-4-44-41-2001-211-2-24i−4i00-1-122-1-1223-300-3300ii−2i−2i−i−i2i2i3i−3i003i−3i0000000000000000000000
χ4644-4-44-41-2001-211-2-24i−4i00-1-122-1-122-33003-300ii−2i−2i−i−i2i2i−3i3i00−3i3i0000000000000000000000
χ4744-4-44-41-2001-211-2-2−4i4i00-1-122-1-1223-300-3300−i−i2i2iii−2i−2i−3i3i00−3i3i0000000000000000000000
χ4844-4-44-41-2001-211-2-2−4i4i00-1-122-1-122-33003-300−i−i2i2iii−2i−2i3i−3i003i−3i0000000000000000000000
χ4944-4-44-4-2100-21-2-2114i−4i0022-1-122-1-1003-300-33−2i−2iii2i2i−i−i003i−3i003i−3i00000000000000000000
χ5044-4-44-4-2100-21-2-2114i−4i0022-1-122-1-100-33003-3−2i−2iii2i2i−i−i00−3i3i00−3i3i00000000000000000000
χ5144-4-44-4-2100-21-2-211−4i4i0022-1-122-1-1003-300-332i2i−i−i−2i−2iii00−3i3i00−3i3i00000000000000000000
χ5244-4-44-4-2100-21-2-211−4i4i0022-1-122-1-100-33003-32i2i−i−i−2i−2iii003i−3i003i−3i00000000000000000000
χ5344-4-4-441-24i−4i1-2-1-1220000-1-12211-2-2ii−2i−2i−i−i2i2i3i−3i00−3i3i00-33003-30000000000000000000000
χ5444-4-4-441-24i−4i1-2-1-1220000-1-12211-2-2ii−2i−2i−i−i2i2i−3i3i003i−3i003-300-330000000000000000000000
χ5544-4-4-441-2−4i4i1-2-1-1220000-1-12211-2-2−i−i2i2iii−2i−2i3i−3i00−3i3i003-300-330000000000000000000000
χ5644-4-4-441-2−4i4i1-2-1-1220000-1-12211-2-2−i−i2i2iii−2i−2i−3i3i003i−3i00-33003-30000000000000000000000
χ5744-4-4-44-214i−4i-2122-1-1000022-1-1-2-211−2i−2iii2i2i−i−i003i−3i00−3i3i00-33003-300000000000000000000
χ5844-4-4-44-214i−4i-2122-1-1000022-1-1-2-211−2i−2iii2i2i−i−i00−3i3i003i−3i003-300-3300000000000000000000
χ5944-4-4-44-21−4i4i-2122-1-1000022-1-1-2-2112i2i−i−i−2i−2iii003i−3i00−3i3i003-300-3300000000000000000000
χ6044-4-4-44-21−4i4i-2122-1-1000022-1-1-2-2112i2i−i−i−2i−2iii00−3i3i003i−3i00-33003-300000000000000000000
χ614-44i−4i004400-4-4000000004i−4i4i−4i0000000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000
χ624-44i−4i004400-4-4000000004i−4i4i−4i000000000000000000000000000000−2−2i2+2i−2+2i2−2i00000000000000
χ634-4−4i4i004400-4-400000000−4i4i−4i4i0000000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000
χ644-4−4i4i004400-4-400000000−4i4i−4i4i000000000000000000000000000000−2+2i2−2i−2−2i2+2i00000000000000
χ658-88i−8i002-400-246-60000002i−2i−4i4i6i−6i0000000000000000000000000000000000000000000000
χ668-88i−8i002-400-24-660000002i−2i−4i4i−6i6i0000000000000000000000000000000000000000000000
χ678-88i−8i00-42004-2006-60000−4i4i2i−2i006i−6i00000000000000000000000000000000000000000000
χ688-88i−8i00-42004-200-660000−4i4i2i−2i00−6i6i00000000000000000000000000000000000000000000
χ698-8−8i8i002-400-246-6000000−2i2i4i−4i−6i6i0000000000000000000000000000000000000000000000
χ708-8−8i8i002-400-24-66000000−2i2i4i−4i6i−6i0000000000000000000000000000000000000000000000
χ718-8−8i8i00-42004-2006-600004i−4i−2i2i00−6i6i00000000000000000000000000000000000000000000
χ728-8−8i8i00-42004-200-6600004i−4i−2i2i006i−6i00000000000000000000000000000000000000000000

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