Finite Group Databasebeta

← Group #13180503

Character table — Group #13180503

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222444446688888888121212121212161818242424242424242424242424242424363636363636363636364848545454547272727272108
order12346336612443366121212122444661224666121212121212121212121212244466688121212228812121224248
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111111111-1-111-1-111111-111-11-1-1-1-11-1-111-1-1-111-1-1-1
χ311111111111111111111-1-111-1-1111-1-1-1-111111111-1-1-11-1-11111-1-111111-1-11-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1111
χ51111111111-1-111111111111111111111111-1-111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-1-111-1
χ61111111111-1-11111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111-1-1-1-11
χ71111111111-1-111111111-1-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-11-1-1-1-1111-1-111-111-1-11
χ81111111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ9111-111111-11-11111-1-1-1-11-11-111-1-11111-11-11-11-11-1-1-1-111-1-1-1111-111-11-111-11-11-1-1
χ10111-111111-11-11111-1-1-1-11-1-1111-1-11111-1-111-1-111-1-1-1-1-11-11-1-1-1-111-111-1-1-111-1-111
χ11111-111111-11-11111-1-1-1-1-111-1-1-1-1-11-1-1-111-11-11-11-11111-11-1-111-1111-11-1-1-1-1-11-111
χ12111-111111-11-11111-1-1-1-1-11-11-1-1-1-11-1-1-11-111-1-111-1111-1-111-1-1-11-11-111-1111-111-1-1
χ13111-111111-1-111111-1-1-1-11-11-111-1-11111-11-1-111-1-11-1-1-1-1-111-1-1-11-111-1-11-1-11-111-11
χ14111-111111-1-111111-1-1-1-11-1-1111-1-11111-1-11-11-11-11-1-1-11-11-1-111-111-11-1111-1-11-11-1
χ15111-111111-1-111111-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-11111-11-11-1-1-1-1111-1-111111-1-11-1
χ16111-111111-1-111111-1-1-1-1-11-11-1-1-1-11-1-1-11-11-11-11-1111111-1-1-1111-11-11-11-1-1-11-11-11
χ17222222222222222222220000002-2-20000002200220000000-20000-200-2-200000000
χ182222222222-2-2222222220000002-2-2000000-2-200-2-20000000-20000-2002200000000
χ19222-222222-22-22222-2-2-2-2000000-22-20000002-2002-2000000020000-200-2200000000
χ20222-222222-2-222222-2-2-2-2000000-22-2000000-2200-22000000020000-2002-200000000
χ2122-12-12222-100-1-1-1-122-1-1222222-122-1-1-1-1-1-10022002-1-10000-10022-1-1-10000000-1-10
χ2222-12-12222-100-1-1-1-122-1-122-2-222-122-1-1-1-11100-2-2002-1-10000-100-2-2-1110000000110
χ2322-12-12222-100-1-1-1-122-1-1-2-222-2-2-1221111-1-1002200-2110000-100-2-2-1-1-10000000110
χ2422-12-12222-100-1-1-1-122-1-1-2-2-2-2-2-2-12211111100-2-200-2110000-10022-1110000000-1-10
χ2522-1-2-12222100-1-1-1-1-2-2112-22-2221-22-1-1-11-11002-200-21100001002-2-1-110000000-110
χ2622-1-2-12222100-1-1-1-1-2-2112-2-22221-22-1-1-111-100-2200-2110000100-22-11-100000001-10
χ2722-1-2-12222100-1-1-1-1-2-211-222-2-2-21-22111-1-11002-2002-1-10000100-22-1-1100000001-10
χ2822-1-2-12222100-1-1-1-1-2-211-22-22-2-21-22111-11-100-22002-1-100001002-2-11-10000000-110
χ29444441-2-21444-211-2-21112200-1-1-2002-1-1200-2-20011-1-1-102200000000000000-1-1000
χ30444441-2-21444-211-2-2111-2-20011-200-211-200-2-200111110-2-20000000000000011000
χ31444441-2-214-4-4-211-2-21112200-1-1-2002-1-12002200-1-1-1-1-10-2-20000000000000011000
χ32444441-2-214-4-4-211-2-2111-2-20011-200-211-2002200-1-111102200000000000000-1-1000
χ3344444-211-24441-2-211-2-2-200220010000002211-1-1-2-200020020-1-1000-1-10000-100000
χ3444444-211-24441-2-211-2-2-200-2-2001000000-2-21111-2-2000-200-2011000110000100000
χ3544444-211-24-4-41-2-211-2-2-2002200100000022-1-1-1-122000-200-2011000-1-10000100000
χ3644444-211-24-4-41-2-211-2-2-200-2-2001000000-2-2-1-1112200020020-1-1000110000-100000
χ37444-441-2-21-44-4-211-22-1-1-12-200-1-12002-1-1-200-22001-111102-200000000000000-11000
χ38444-441-2-21-44-4-211-22-1-1-1-220011200-211200-22001-1-1-1-10-22000000000000001-1000
χ39444-441-2-21-4-44-211-22-1-1-12-200-1-12002-1-1-2002-200-111110-22000000000000001-1000
χ40444-441-2-21-4-44-211-22-1-1-1-220011200-2112002-200-11-1-1-102-200000000000000-11000
χ41444-44-211-2-44-41-2-21-1222002-200-10000002-21-1-11-22000200-20-1-1000-110000100000
χ42444-44-211-2-44-41-2-21-122200-2200-1000000-221-11-1-22000-20020110001-10000-100000
χ43444-44-211-2-4-441-2-21-1222002-200-10000002-2-11-112-2000-2002011000-110000-100000
χ44444-44-211-2-4-441-2-21-122200-2200-1000000-22-111-12-2000200-20-1-10001-10000100000
χ4544-24-24444-200-2-2-2-244-2-2000000-2-4-40000000000000000000200002000000000000
χ4644-2-4-24444200-2-2-2-2-4-42200000024-40000000000000000000-200002000000000000
χ474-440-444-4-400044-4-400000000000000000000000000000000000000000022−22000000
χ484-440-444-4-400044-4-4000000000000000000000000000000000000000000−2222000000
χ4988-48-42-4-42-4002-1-12-42-1-14400-2-2200-211-200000000-2110000000000000000000000
χ5088-48-42-4-42-4002-1-12-42-1-1-4-400222002-1-12000000002-1-10000000000000000000000
χ5188-48-4-422-4-400-122-12-422004400-1000000-2-200-2-2000000000000000110000000000
χ5288-48-4-422-4-400-122-12-42200-4-400-1000000220022000000000000000-1-10000000000
χ5388-4-8-42-4-424002-1-124-2114-400-2-2-200-2112000000002-1-10000000000000000000000
χ5488-4-8-42-4-424002-1-124-211-440022-2002-1-1-200000000-2110000000000000000000000
χ5588-4-8-4-422-4400-122-1-24-2-2004-4001000000-2200-220000000000000001-10000000000
χ5688-4-8-4-422-4400-122-1-24-2-200-440010000002-2002-2000000000000000-110000000000
χ578-880-82-44-2000-42-2400000000−2i32i30000−2i32i30000000000000000000000000000000000
χ588-880-82-44-2000-42-24000000002i3−2i300002i3−2i30000000000000000000000000000000000
χ598-880-8-42-240002-44-2000000000000000000000000000000000−2i32i3000000000000000
χ608-880-8-42-240002-44-20000000000000000000000000000000002i3−2i3000000000000000
χ618-8-4042-44-20002-11-20033−330000−2i32i30000i3−i300000000003i−3i0000000000000000000000
χ628-8-4042-44-20002-11-20033−3300002i3−2i30000−i3i30000000000−3i3i0000000000000000000000
χ638-8-4042-44-20002-11-200−33330000−2i32i30000i3−i30000000000−3i3i0000000000000000000000
χ648-8-4042-44-20002-11-200−333300002i3−2i30000−i3i300000000003i−3i0000000000000000000000
χ658-8-40488-8-8000-4-44400000000000000000000000000000000000000000000000000
χ6616-16-808-84-48000-24-4200000000000000000000000000000000000000000000000000

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