Finite Group Databasebeta

← Group #11786734

Character table — Group #11786734

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122244444444444488888888888889916161616161616161818183636363636363636363636367272727272
order12244233444661212121266812121212121212121212226612122424242424424444444444444888
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−ii−i-1i−i
χ4111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii−ii-1−ii
χ5111111111-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-111111111-1-1-1-1-1
χ6111111111-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-111
χ7111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−ii1−ii
χ8111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111−i−i−i−iiiiii−i1i−i
χ911111-111-11111111111-1111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1-1
χ1011111-111-11111111111-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-111
χ1111111-111-11111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iiii−i1−ii
χ1211111-111-11111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i−ii1i−i
χ1311111-111-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1111
χ1411111-111-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-111111-1-1
χ1511111-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111ii−i−i−i−iii−ii-1i−i
χ1611111-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111−i−iiiii−i−ii−i-1−ii
χ17222-2-202200022-2-2-2-2220-2-20000000022000000002-2-200002-2002-20000000
χ18222-2-202200022-2-2-2-2220-2-20000000022000000002-2-20000-2200-220000000
χ19222-2-202200022-2-2-2-2220-2-200000000-2-200000000-22200002i−2i00−2i2i0000000
χ20222-2-202200022-2-2-2-2220-2-200000000-2-200000000-2220000−2i2i002i−2i0000000
χ2122-22-2222-20022-2-2-2-2-2-2022000000002222-2-20000-2-222-2000000000000000
χ2222-22-2222-20022-2-2-2-2-2-202200000000-2-222-2-2000022-2-22000000000000000
χ2322-22-2-22220022-2-2-2-2-2-20220000000022-2-2220000-2-22-22000000000000000
χ2422-22-2-22220022-2-2-2-2-2-202200000000-2-2-2-222000022-22-2000000000000000
χ2522-2-22022000222222-2-20-2-2000000002200000000-22-20000002-2002-200000
χ2622-2-22022000222222-2-20-2-2000000002200000000-22-2000000-2200-2200000
χ2722-2-22022000222222-2-20-2-200000000-2-2000000002-220000002i−2i00−2i2i00000
χ2822-2-22022000222222-2-20-2-200000000-2-2000000002-22000000−2i2i002i−2i00000
χ294444441-24441-211-2-21-241-21111-2-2-2-2001-21-211-2-200000000000000000000
χ304444441-24-4-41-211-2-21-2-41-2-1-1-1-12222001-21-2-1-12200000000000000000000
χ31444444-21444-21-2-211-214-21-2-2-2-2111100-21-21-2-21100000000000000000000
χ32444444-214-4-4-21-2-211-21-4-212222-1-1-1-100-21-2122-1-100000000000000000000
χ3344444-41-2-4441-211-2-21-2-41-21111-2-2-2-200-12-12-1-12200000000000000000000
χ3444444-41-2-4-4-41-211-2-21-241-2-1-1-1-1222200-12-1211-2-200000000000000000000
χ3544444-4-21-444-21-2-211-21-4-21-2-2-2-21111002-12-122-1-100000000000000000000
χ3644444-4-21-4-4-4-21-2-211-214-212222-1-1-1-1002-12-1-2-21100000000000000000000
χ3744-44-441-2-4001-2-1-122-1201-23i3i−3i−3i0000001-2-123i−3i0000000000000000000000
χ3844-44-441-2-4001-2-1-122-1201-2−3i−3i3i3i0000001-2-12−3i3i0000000000000000000000
χ3944-44-44-21-400-2122-1-12-10-2100003i3i−3i−3i00-212-1003i−3i00000000000000000000
χ4044-44-44-21-400-2122-1-12-10-210000−3i−3i3i3i00-212-100−3i3i00000000000000000000
χ4144-44-4-41-24001-2-1-122-1201-23i3i−3i−3i000000-121-2−3i3i0000000000000000000000
χ4244-44-4-41-24001-2-1-122-1201-2−3i−3i3i3i000000-121-23i−3i0000000000000000000000
χ4344-44-4-4-21400-2122-1-12-10-2100003i3i−3i−3i002-1-2100−3i3i00000000000000000000
χ4444-44-4-4-21400-2122-1-12-10-210000−3i−3i3i3i002-1-21003i−3i00000000000000000000
χ454-400004402i−2i-4-40000000002i−2i2i−2i2i−2i2i−2i4-400000000000002i−2i0000000000000
χ464-400004402i−2i-4-40000000002i−2i2i−2i2i−2i2i−2i-440000000000000−2i2i0000000000000
χ474-40000440−2i2i-4-4000000000−2i2i−2i2i−2i2i−2i2i4-40000000000000−2i2i0000000000000
χ484-40000440−2i2i-4-4000000000−2i2i−2i2i−2i2i−2i2i-4400000000000002i−2i0000000000000
χ49888-8-802-40002-4-2-2442-40-2400000000000000000000000000000000000000
χ50888-8-80-42000-4244-2-2-4204-200000000000000000000000000000000000000
χ5188-8-8802-40002-422-4-4-240-2400000000000000000000000000000000000000
χ5288-8-880-42000-42-4-4224-204-200000000000000000000000000000000000000
χ538-800002-404i−4i-246i−6i00000003+i−3−i−3+i3−i−2i2i−2i2i000000000000000000000000000000
χ548-800002-404i−4i-24−6i6i0000000−3+i3−i3+i−3−i−2i2i−2i2i000000000000000000000000000000
χ558-800002-40−4i4i-246i−6i0000000−3−i3+i3−i−3+i2i−2i2i−2i000000000000000000000000000000
χ568-800002-40−4i4i-24−6i6i00000003−i−3+i−3−i3+i2i−2i2i−2i000000000000000000000000000000
χ578-80000-4204i−4i4-2006i−6i00000−2i2i−2i2i3+i−3−i−3+i3−i000000000000000000000000000000
χ588-80000-4204i−4i4-200−6i6i00000−2i2i−2i2i−3+i3−i3+i−3−i000000000000000000000000000000
χ598-80000-420−4i4i4-2006i−6i000002i−2i2i−2i−3−i3+i3−i−3+i000000000000000000000000000000
χ608-80000-420−4i4i4-200−6i6i000002i−2i2i−2i3−i−3+i−3−i3+i000000000000000000000000000000

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