Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D227 |
| Fitting | #97×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D227, #330×D227, #44398319, … |
| maximal normal subgroup of | #329×D227, #330×D227, #44398319, … |
| maximal quotient of | #322×D227, #44398020, #44398022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 496);