Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D227 |
| Fitting | C2×Q16×C227 ⋊ C2 |
| Sylow | C227 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D227, #44401452, #362×D227, … |
| maximal normal subgroup of | #358×D227, #44401452, #362×D227, … |
| maximal quotient of | C2×#103×D227, C2×#107×D227, C4×Q16×D227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1324);