Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#20300228 |
| Sylow | C227 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397813, #44397814, #44397815, … |
| maximal normal subgroup of | #44397813, #44397814, #44397815, … |
| maximal quotient of | C2×#28408808, C4×#20300228, C2×C22⋊(C227⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 964);