Finite Group DatabasebetaFinite Group Databasebeta| order | 28548 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#23748907 |
| derived, Hall | C13×C61 ⋊ C32×C4 |
| Hall | C3×#14558651 ⋊ C4 |
| Hall | C13×Dic61 ⋊ C32 |
| Hall | Dic61 ⋊ C3×C13⋊C3 |
| Sylow | C61 ⋊ C3×C4×C13⋊C3 |
| Sylow | C13 ⋊ C3×Dic61⋊C3 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9516 |
864 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28548, 113);