Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16813874 |
| Sylow | C227 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400072, #44400073, #44400075, … |
| maximal normal subgroup of | #44400072, #44400073, #44400075, … |
| maximal quotient of | C22×#20300211, C22×#20300212, C22×#20300221, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1325);