Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#20300198 |
| Sylow | C227 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397813, #44397817, #97×Dic227, … |
| maximal normal subgroup of | #44397813, #44397817, #97×Dic227, … |
| maximal quotient of | C2×#28408753, C2×#28408754, #44398023, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 497);