Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#20300208 |
| Fitting | C2×C4⋊C4×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44399548, C4×#20300208, #44399558, … |
| maximal normal subgroup of | #44399548, C4×#20300208, #44399558, … |
| maximal quotient of | C2×#28408759, #44398132, #44398158, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 535);