Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D227 |
| Fitting | #106×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D227, #365×D227, C2×#106×D227, … |
| maximal normal subgroup of | #360×D227, #365×D227, C2×#106×D227, … |
| maximal quotient of | #334×D227, #44398488, #44398503, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 578);