Finite Group Databasebeta

← Group #11785923

Character table — Group #11785923

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112224444444444444444444444888888888888888888888888181818183636363636367272727272727272
order1222222334444666666666666666666666612121212121212121212121212121212444422444488888888
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
χ911111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-11-11-11-1
χ1011111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-11-11-11
χ1111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111i−ii−i−ii−ii
χ1211111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−ii−iii−ii−i
χ1311111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-111-1-11
χ1411111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-111-1-111-1
χ1511111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1i−i−ii−iii−i
χ1611111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1−iii−ii−i−ii
χ17222-2-20022002i−2i2200000000-2-2-2-222-2-20000000000002i2i2i2i−2i−2i−2i−2i22-2-200002i−2i00000000
χ18222-2-20022002i−2i2200000000-2-2-2-222-2-20000000000002i2i2i2i−2i−2i−2i−2i-2-2220000−2i2i00000000
χ19222-2-2002200−2i2i2200000000-2-2-2-222-2-2000000000000−2i−2i−2i−2i2i2i2i2i22-2-20000−2i2i00000000
χ20222-2-2002200−2i2i2200000000-2-2-2-222-2-2000000000000−2i−2i−2i−2i2i2i2i2i-2-22200002i−2i00000000
χ2122-22-200222i−2i002200000000-2-2-2-2-2-22200002i2i2i2i−2i−2i−2i−2i000000002-22-2002i−2i0000000000
χ2222-22-200222i−2i002200000000-2-2-2-2-2-22200002i2i2i2i−2i−2i−2i−2i00000000-22-2200−2i2i0000000000
χ2322-22-20022−2i2i002200000000-2-2-2-2-2-2220000−2i−2i−2i−2i2i2i2i2i000000002-22-200−2i2i0000000000
χ2422-22-20022−2i2i002200000000-2-2-2-2-2-2220000−2i−2i−2i−2i2i2i2i2i00000000-22-22002i−2i0000000000
χ2522-2-222-222000022222222222222-2-2-2-2-2-2-2-200000000000000002-2-222-2000000000000
χ2622-2-222-222000022222222222222-2-2-2-2-2-2-2-20000000000000000-222-2-22000000000000
χ2722-2-22-2222000022-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000002-2-22-22000000000000
χ2822-2-22-2222000022-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-222-22-2000000000000
χ2944444441-244441-21111-2-2-2-211-2-21-21-211-2-211-2-211-2-211-2-211-2-2000000000000000000
χ3044444441-2-4-4-4-41-21111-2-2-2-211-2-21-21-211-2-2-1-122-1-122-1-122-1-122000000000000000000
χ314444444-214444-21-2-2-2-21111-2-211-21-21-2-211-2-211-2-211-2-211-2-211000000000000000000
χ324444444-21-4-4-4-4-21-2-2-2-21111-2-211-21-21-2-21122-1-122-1-122-1-122-1-1000000000000000000
χ3344444-4-41-244-4-41-2-1-1-1-1222211-2-21-21-2-1-12211-2-211-2-2-1-122-1-122000000000000000000
χ3444444-4-41-2-4-4441-2-1-1-1-1222211-2-21-21-2-1-122-1-122-1-12211-2-211-2-2000000000000000000
χ3544444-4-4-2144-4-4-212222-1-1-1-1-2-211-21-2122-1-1-2-211-2-21122-1-122-1-1000000000000000000
χ3644444-4-4-21-4-444-212222-1-1-1-1-2-211-21-2122-1-122-1-122-1-1-2-211-2-211000000000000000000
χ37444-4-4001-2004i−4i1-233-3-30000-1-1221-2-123-3003i−3i003i−3i00ii−2i−2i−i−i2i2i000000000000000000
χ38444-4-4001-2004i−4i1-2-3-3330000-1-1221-2-12-3300−3i3i00−3i3i00ii−2i−2i−i−i2i2i000000000000000000
χ39444-4-4001-200−4i4i1-233-3-30000-1-1221-2-123-300−3i3i00−3i3i00−i−i2i2iii−2i−2i000000000000000000
χ40444-4-4001-200−4i4i1-2-3-3330000-1-1221-2-12-33003i−3i003i−3i00−i−i2i2iii−2i−2i000000000000000000
χ41444-4-400-21004i−4i-21000033-3-322-1-1-212-1003-3003i−3i003i−3i−2i−2iii2i2i−i−i000000000000000000
χ42444-4-400-21004i−4i-210000-3-33322-1-1-212-100-3300−3i3i00−3i3i−2i−2iii2i2i−i−i000000000000000000
χ43444-4-400-2100−4i4i-21000033-3-322-1-1-212-1003-300−3i3i00−3i3i2i2i−i−i−2i−2iii000000000000000000
χ44444-4-400-2100−4i4i-210000-3-33322-1-1-212-100-33003i−3i003i−3i2i2i−i−i−2i−2iii000000000000000000
χ4544-44-4001-24i−4i001-233-3-30000-1-122-121-2-3300ii−2i−2i−i−i2i2i3i−3i003i−3i00000000000000000000
χ4644-44-4001-24i−4i001-2-3-3330000-1-122-121-23-300ii−2i−2i−i−i2i2i−3i3i00−3i3i00000000000000000000
χ4744-44-4001-2−4i4i001-233-3-30000-1-122-121-2-3300−i−i2i2iii−2i−2i−3i3i00−3i3i00000000000000000000
χ4844-44-4001-2−4i4i001-2-3-3330000-1-122-121-23-300−i−i2i2iii−2i−2i3i−3i003i−3i00000000000000000000
χ4944-44-400-214i−4i00-21000033-3-322-1-12-1-2100-33−2i−2iii2i2i−i−i003i−3i003i−3i000000000000000000
χ5044-44-400-214i−4i00-210000-3-33322-1-12-1-21003-3−2i−2iii2i2i−i−i00−3i3i00−3i3i000000000000000000
χ5144-44-400-21−4i4i00-21000033-3-322-1-12-1-2100-332i2i−i−i−2i−2iii00−3i3i00−3i3i000000000000000000
χ5244-44-400-21−4i4i00-210000-3-33322-1-12-1-21003-32i2i−i−i−2i−2iii003i−3i003i−3i000000000000000000
χ5344-4-444-41-200001-21111-2-2-2-211-2-2-12-12-1-1223-300-33003-300-3300000000000000000000
χ5444-4-444-41-200001-21111-2-2-2-211-2-2-12-12-1-122-33003-300-33003-300000000000000000000
χ5544-4-444-4-210000-21-2-2-2-21111-2-2112-12-122-1-1003-300-33003-300-33000000000000000000
χ5644-4-444-4-210000-21-2-2-2-21111-2-2112-12-122-1-100-33003-300-33003-3000000000000000000
χ5744-4-44-441-200001-2-1-1-1-1222211-2-2-12-1211-2-23-300-3300-33003-300000000000000000000
χ5844-4-44-441-200001-2-1-1-1-1222211-2-2-12-1211-2-2-33003-3003-300-3300000000000000000000
χ5944-4-44-44-210000-212222-1-1-1-1-2-2112-12-1-2-211003-300-3300-33003-3000000000000000000
χ6044-4-44-44-210000-212222-1-1-1-1-2-2112-12-1-2-21100-33003-3003-300-33000000000000000000
χ618-8000002-40000-24−2i32i3−2i32i300−4i34i36-600000000000000000000000000000000000000000000
χ628-8000002-40000-24−2i32i32i3−2i3−4i34i300-6600000000000000000000000000000000000000000000
χ638-8000002-40000-242i3−2i3−2i32i34i3−4i300-6600000000000000000000000000000000000000000000
χ648-8000002-40000-242i3−2i32i3−2i3004i3−4i36-600000000000000000000000000000000000000000000
χ658-800000880000-8-8000000000000000000000000000000000000000000000000000000
χ668-800000-4200004-200−4i34i3−2i32i32i3−2i3006-6000000000000000000000000000000000000000000
χ678-800000-4200004-2004i3−4i32i3−2i3−2i32i3006-6000000000000000000000000000000000000000000
χ688-800000-4200004-2−4i34i3002i3−2i32i3−2i300-66000000000000000000000000000000000000000000
χ698-800000-4200004-24i3−4i300−2i32i3−2i32i300-66000000000000000000000000000000000000000000

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