Finite Group Databasebeta

← Group #11776952

Character table — Group #11776952

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444444444888888888888888888888888999918183636363636367272727272727272
order12224433446666668888121212121212121212121212121212122424242424242424242424242424242444444424888888888888
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
χ911111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-11-1-11-1
χ1011111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-11
χ1111111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111i−i−ii−ii−ii
χ1211111111-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−iii−ii−ii−i
χ1311111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-11-1-11
χ1411111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-111-1
χ1511111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1i−i−i−iiii−i
χ1611111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1−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
χ192222-2-222-222222220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-2-22000000000000
χ202222-2-222-222222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2222-2000000000000
χ2122-2-22-2220022-2-2-2-2002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i2i−2i2i−2i2i−2i00002-200000000
χ2222-2-22-2220022-2-2-2-2002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i2i−2i2i−2i2i0000-2200000000
χ2322-2-22-2220022-2-2-2-200−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i−2i2i−2i2i−2i0000-2200000000
χ2422-2-22-2220022-2-2-2-200−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i2i−2i2i−2i2i00002-200000000
χ2522-2-2-22220022-2-2-2-22i−2i00-2-2-2-22222000000002i2i2i2i−2i−2i−2i−2i000000002i−2i2i−2i−2i2i002-20000000000
χ2622-2-2-22220022-2-2-2-22i−2i00-2-2-2-22222000000002i2i2i2i−2i−2i−2i−2i00000000−2i2i−2i2i2i−2i00-220000000000
χ2722-2-2-22220022-2-2-2-2−2i2i00-2-2-2-2222200000000−2i−2i−2i−2i2i2i2i2i000000002i−2i2i−2i−2i2i00-220000000000
χ2822-2-2-22220022-2-2-2-2−2i2i00-2-2-2-2222200000000−2i−2i−2i−2i2i2i2i2i00000000−2i2i−2i2i2i−2i002-20000000000
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
χ374444-4-41-24-41-211-2-20000-1-122-1-12211-2-2-1-1223i−3i003i−3i003i−3i003i−3i0000000000000000000000
χ384444-4-41-24-41-211-2-20000-1-122-1-12211-2-2-1-122−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000
χ394444-4-41-2-441-211-2-20000-1-122-1-122-1-12211-2-23i−3i003i−3i00−3i3i00−3i3i0000000000000000000000
χ404444-4-41-2-441-211-2-20000-1-122-1-122-1-12211-2-2−3i3i00−3i3i003i−3i003i−3i0000000000000000000000
χ414444-4-4-214-4-21-2-211000022-1-122-1-1-2-21122-1-1003i−3i003i−3i003i−3i003i−3i00000000000000000000
χ424444-4-4-214-4-21-2-211000022-1-122-1-1-2-21122-1-100−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000
χ434444-4-4-21-44-21-2-211000022-1-122-1-122-1-1-2-211003i−3i003i−3i00−3i3i00−3i3i00000000000000000000
χ444444-4-4-21-44-21-2-211000022-1-122-1-122-1-1-2-21100−3i3i00−3i3i003i−3i003i−3i00000000000000000000
χ4544-4-44-41-2001-2-1-122004i−4i11-2-2-1-1223i−3i003i−3i003-300-3300ii−2i−2i−i−i2i2i00000000000000000000
χ4644-4-44-41-2001-2-1-122004i−4i11-2-2-1-122−3i3i00−3i3i00-33003-300ii−2i−2i−i−i2i2i00000000000000000000
χ4744-4-44-41-2001-2-1-12200−4i4i11-2-2-1-1223i−3i003i−3i00-33003-300−i−i2i2iii−2i−2i00000000000000000000
χ4844-4-44-41-2001-2-1-12200−4i4i11-2-2-1-122−3i3i00−3i3i003-300-3300−i−i2i2iii−2i−2i00000000000000000000
χ4944-4-44-4-2100-2122-1-1004i−4i-2-21122-1-1003i−3i003i−3i003-300-33−2i−2iii2i2i−i−i00000000000000000000
χ5044-4-44-4-2100-2122-1-1004i−4i-2-21122-1-100−3i3i00−3i3i00-33003-3−2i−2iii2i2i−i−i00000000000000000000
χ5144-4-44-4-2100-2122-1-100−4i4i-2-21122-1-1003i−3i003i−3i00-33003-32i2i−i−i−2i−2iii00000000000000000000
χ5244-4-44-4-2100-2122-1-100−4i4i-2-21122-1-100−3i3i00−3i3i003-300-332i2i−i−i−2i−2iii00000000000000000000
χ5344-4-4-441-2001-2-1-1224i−4i00-1-12211-2-23i−3i00−3i3i00ii−2i−2i−i−i2i2i-33003-30000000000000000000000
χ5444-4-4-441-2001-2-1-1224i−4i00-1-12211-2-2−3i3i003i−3i00ii−2i−2i−i−i2i2i3-300-330000000000000000000000
χ5544-4-4-441-2001-2-1-122−4i4i00-1-12211-2-23i−3i00−3i3i00−i−i2i2iii−2i−2i3-300-330000000000000000000000
χ5644-4-4-441-2001-2-1-122−4i4i00-1-12211-2-2−3i3i003i−3i00−i−i2i2iii−2i−2i-33003-30000000000000000000000
χ5744-4-4-44-2100-2122-1-14i−4i0022-1-1-2-211003i−3i00−3i3i−2i−2iii2i2i−i−i00-33003-300000000000000000000
χ5844-4-4-44-2100-2122-1-14i−4i0022-1-1-2-21100−3i3i003i−3i−2i−2iii2i2i−i−i003-300-3300000000000000000000
χ5944-4-4-44-2100-2122-1-1−4i4i0022-1-1-2-211003i−3i00−3i3i2i2i−i−i−2i−2iii003-300-3300000000000000000000
χ6044-4-4-44-2100-2122-1-1−4i4i0022-1-1-2-21100−3i3i003i−3i2i2i−i−i−2i−2iii00-33003-300000000000000000000
χ614-44-4004400-4-44-44-400000000000000000000000000000000000044-4-40000000000000000
χ624-44-4004400-4-44-44-4000000000000000000000000000000000000-4-4440000000000000000
χ634-4-44004400-4-4-44-440000000000000000000000000000000000004i−4i−4i4i0000000000000000
χ644-4-44004400-4-4-44-44000000000000000000000000000000000000−4i4i4i−4i0000000000000000
χ658-88-8002-400-242-2-4400006i−6i006i−6i0000000000000000000000000000000000000000000000
χ668-88-8002-400-242-2-440000−6i6i00−6i6i0000000000000000000000000000000000000000000000
χ678-88-800-42004-2-442-20000006i−6i006i−6i00000000000000000000000000000000000000000000
χ688-88-800-42004-2-442-2000000−6i6i00−6i6i00000000000000000000000000000000000000000000
χ698-8-88002-400-24-224-400006i−6i00−6i6i0000000000000000000000000000000000000000000000
χ708-8-88002-400-24-224-40000−6i6i006i−6i0000000000000000000000000000000000000000000000
χ718-8-8800-42004-24-4-220000006i−6i00−6i6i00000000000000000000000000000000000000000000
χ728-8-8800-42004-24-4-22000000−6i6i006i−6i00000000000000000000000000000000000000000000

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