Finite Group DatabasebetaFinite Group Databasebeta| order | 5616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C32 · Schur multiplier (H2) = C23×C3 |
| direct product | C3×#67×D13⋊C3 |
| Fitting | C22×C32×C13 ⋊ C22×C3 |
| Hall | C32×C13⋊C3 ⋊ C2×D4 |
| Sylow | C13 ⋊ C2×C32×#67 |
904 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | D13⋊C3×#3811, C3×#67×AGL(1,𝔽13), #72242015 |
| maximal normal subgroup of | D13⋊C3×#3811, C3×#67×AGL(1,𝔽13), #72242015 |
Past the SmallGroups library coverage — no SmallGroups id.