Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×Dic227 |
| Sylow | C227 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×Dic227, #44399546, #44399752, … |
| maximal normal subgroup of | #104×Dic227, #44399546, #44399752, … |
| maximal quotient of | #117×Dic227, C4×D4×Dic227, C4×Q8×Dic227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1020);