Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#20300277 |
| Fitting | C22×Q8×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400119, #44400135, #44400137, … |
| maximal normal subgroup of | #44400119, #44400135, #44400137, … |
| maximal quotient of | C2×#28408897, C2×#28408922, C2×#28408933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1067);