Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D227 |
| Fitting | #101×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3632 |
1265 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #355×D227, #356×D227, #44401420, … |
| maximal normal subgroup of | #355×D227, #356×D227, #44401420, … |
| maximal quotient of | #324×D227, #44398056, #44398062, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 527);