Finite Group Databasebeta

← Group #11771253

Character table — Group #11771253

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1111444888888888888888818181818181836727272727272727272727272
order12222443666666612121212121212122244442444488888888
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111
χ511111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1ii−i−iii−i−i
χ611111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1−i−iii−i−iii
χ711111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111ii−i−i−i−iii
χ811111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111−i−iiiii−i−i
χ91111-11-1111-1-1-1-111111-1-1-1-1-1-111-1-11i−ii−i1-11-1i−ii−i
χ101111-11-1111-1-1-1-111111-1-1-1-1-1-111-1-11i−ii−i-11-11−ii−ii
χ111111-11-1111-1-1-1-111111-1-1-1-1-1-111-1-11−ii−ii1-11-1−ii−ii
χ121111-11-1111-1-1-1-111111-1-1-1-1-1-111-1-11−ii−ii-11-11i−ii−i
χ131111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111i−i−iii−i−ii-111-1
χ141111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111i−i−ii−iii−i1-1-11
χ151111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111−iii−ii−i−ii1-1-11
χ161111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111−iii−i−iii−i-111-1
χ1722222222222222222222222-2-2-2-2-2-2-2000000000000
χ1822222-2-222222222-2-2-2-2-2-2-2-2-2-22222-2000000000000
χ192222-22-2222-2-2-2-222222-2-2-2-222-2-222-2000000000000
χ202222-2-22222-2-2-2-22-2-2-2-222222222-2-2-2000000000000
χ2144-4-400044-40000-40000000000004i−4i0000000000000
χ2244-4-400044-40000-4000000000000−4i4i0000000000000
χ234-44-40004-440000-400000000004i−4i000000000000000
χ244-44-40004-440000-40000000000−4i4i000000000000000
χ254-4-440004-4-400004000000004-400000000000000000
χ264-4-440004-4-40000400000000-4400000000000000000
χ278888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000
χ2888888-8-8-1-1-1-1-1-1-1-1111111110000000000000000000
χ298888-88-8-1-1-11111-1-1-1-1-111110000000000000000000
χ308888-8-88-1-1-11111-11111-1-1-1-10000000000000000000
χ3188-8-8000-1-1133-3-313i3i−3i−3i3i3i−3i−3i0000000000000000000
χ3288-8-8000-1-1133-3-31−3i−3i3i3i−3i−3i3i3i0000000000000000000
χ3388-8-8000-1-11-3-33313i3i−3i−3i−3i−3i3i3i0000000000000000000
χ3488-8-8000-1-11-3-3331−3i−3i3i3i3i3i−3i−3i0000000000000000000
χ358-88-8000-11-13-33-313i−3i3i−3i3i−3i3i−3i0000000000000000000
χ368-88-8000-11-13-33-31−3i3i−3i3i−3i3i−3i3i0000000000000000000
χ378-88-8000-11-1-33-3313i−3i3i−3i−3i3i−3i3i0000000000000000000
χ388-88-8000-11-1-33-331−3i3i−3i3i3i−3i3i−3i0000000000000000000
χ398-8-88000-1113-3-33-13-3-333-3-330000000000000000000
χ408-8-88000-1113-3-33-1-333-3-333-30000000000000000000
χ418-8-88000-111-333-3-13-3-33-333-30000000000000000000
χ428-8-88000-111-333-3-1-333-33-3-330000000000000000000

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