Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20300207 |
| Sylow | C227 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397860, #44397861, C4×#20300207, … |
| maximal normal subgroup of | #44397860, #44397861, C4×#20300207, … |
| maximal quotient of | C2×#28408758, #44398058, #44398064, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 529);