Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D16×D227 |
| Fitting | D16×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3632 |
1265 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D32×D227, SD64×D227, #44402045, … |
| maximal normal subgroup of | D32×D227, SD64×D227, #44402045, … |
| maximal quotient of | #357×D227, #366×D227, #44401578, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 968);