Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×Dic227⋊C4 |
| Sylow | C227 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397962, #44397965, #44397967, … |
| maximal normal subgroup of | #44397962, #44397965, #44397967, … |
| maximal quotient of | C22×C227⋊#95, C2×C4×Dic227⋊C4, C2×#28408890, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 999);