Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#16813869 |
| Fitting | C22×D4×C227 ⋊ C2 |
| Sylow | C227 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400079, #44400080, #44400082, … |
| maximal normal subgroup of | #44400079, #44400080, #44400082, … |
| maximal quotient of | C22×#20300208, C22×#20300209, C22×#20300221, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1318);