Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#16813868 |
| Sylow | C227 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397570, #44397571, #44397583, … |
| maximal normal subgroup of | #44397570, #44397571, #44397583, … |
| maximal quotient of | C8×#16813868, #44398023, #44398031, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 502);