Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×C22⋊Dic227 |
| Sylow | C227 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397956, #44397957, #44397971, … |
| maximal normal subgroup of | #44397956, #44397957, #44397971, … |
| maximal quotient of | C22×C227⋊#95, C2×C4×C22⋊Dic227, C2×#28408888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 997);