Finite Group Databasebeta

← Group #11787105

Character table — Group #11787105

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112224444448888888899161616161616161616161616181818363636363636363636363636363672727272
order1222223346644666666446612121212121212121212444248888888888884488
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1111111111111-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1i−i
χ41111111111111111111-1-1111111111111-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1−ii
χ511111111111-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1
χ611111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-111
χ711111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii11−ii
χ811111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i11i−i
χ911111-111-1111-111111111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1111-1-1-1
χ1011111-111-1111-111111111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-111-1-11-111
χ1111111-111-1111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111ii−i−iii−i−iii−i−i-11−ii
χ1211111-111-1111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111−i−iii−i−iii−i−iii-11i−i
χ1311111-111-111-1111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1111
χ1411111-111-111-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-11111-11-1-1
χ1511111-111-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-111ii−i−i−i−i−i−iiiii1-1i−i
χ1611111-111-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-111−i−iiiiiii−i−i−i−i1-1−ii
χ17222-2-2222-2220022-2-2-2-22222-2-200000000-2-22-220000000000000000
χ18222-2-2222-2220022-2-2-2-2-2-222-2-20000000022-22-20000000000000000
χ19222-2-2-2222220022-2-2-2-222-2-22200000000-2-222-20000000000000000
χ20222-2-2-2222220022-2-2-2-2-2-2-2-2220000000022-2-220000000000000000
χ2122-22-202202200-2-222-2-2220000000000002-2-2002-200002-200000000
χ2222-22-202202200-2-222-2-2220000000000002-2-200-220000-2200000000
χ2322-22-202202200-2-222-2-2-2-2000000000000-222002i−2i0000−2i2i00000000
χ2422-22-202202200-2-222-2-2-2-2000000000000-22200−2i2i00002i−2i00000000
χ2522-2-2202202200-2-2-2-22222000000000000-22-200002-200002-2000000
χ2622-2-2202202200-2-2-2-22222000000000000-22-20000-220000-22000000
χ2722-2-2202202200-2-2-2-222-2-20000000000002-2200002i−2i0000−2i2i000000
χ2822-2-2202202200-2-2-2-222-2-20000000000002-220000−2i2i00002i−2i000000
χ294444441-241-2441-21-21-2001-21-211-2-211-2-2000000000000000000000
χ304444441-241-2-4-41-21-21-2001-21-2-1-122-1-122000000000000000000000
χ31444444-214-2144-21-21-2100-21-21-2-211-2-211000000000000000000000
χ32444444-214-21-4-4-21-21-2100-21-2122-1-122-1-1000000000000000000000
χ3344444-41-2-41-24-41-21-21-200-12-1211-2-2-1-122000000000000000000000
χ3444444-41-2-41-2-441-21-21-200-12-12-1-12211-2-2000000000000000000000
χ3544444-4-21-4-214-4-21-21-21002-12-1-2-21122-1-1000000000000000000000
χ3644444-4-21-4-21-44-21-21-21002-12-122-1-1-2-211000000000000000000000
χ37444-4-441-2-41-2001-2-12-12001-2-123i−3i003i−3i00000000000000000000000
χ38444-4-441-2-41-2001-2-12-12001-2-12−3i3i00−3i3i00000000000000000000000
χ39444-4-44-21-4-2100-212-12-100-212-1003i−3i003i−3i000000000000000000000
χ40444-4-44-21-4-2100-212-12-100-212-100−3i3i00−3i3i000000000000000000000
χ41444-4-4-41-241-2001-2-12-1200-121-23i−3i00−3i3i00000000000000000000000
χ42444-4-4-41-241-2001-2-12-1200-121-2−3i3i003i−3i00000000000000000000000
χ43444-4-4-4-214-2100-212-12-1002-1-21003i−3i00−3i3i000000000000000000000
χ44444-4-4-4-214-2100-212-12-1002-1-2100−3i3i003i−3i000000000000000000000
χ454-40000440-4-4000000004i−4i0000000000000000000002ζ−2ζ00002ζ3−2ζ30000
χ464-40000440-4-4000000004i−4i000000000000000000000−2ζ2ζ0000−2ζ32ζ30000
χ474-40000440-4-400000000−4i4i0000000000000000000002ζ3−2ζ300002ζ−2ζ0000
χ484-40000440-4-400000000−4i4i000000000000000000000−2ζ32ζ30000−2ζ2ζ0000
χ4988-88-802-402-400-242-4-2400000000000000000000000000000000000
χ5088-88-80-420-42004-2-424-200000000000000000000000000000000000
χ5188-8-8802-402-400-24-242-400000000000000000000000000000000000
χ5288-8-880-420-42004-24-2-4200000000000000000000000000000000000
χ5316-1600004-80-480000000000000000000000000000000000000000000
χ5416-160000-8408-40000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.