Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C227⋊#95 |
| unambiguous semidirect product | (C2×C227)⋊#95 |
| Sylow | C227 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397576, #44397612, #44397614, … |
| maximal normal subgroup of | #44397576, #44397612, #44397614, … |
| maximal quotient of | C4×C227⋊#95, #44397956, #44397957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 393);