Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic908 |
| Sylow | C227 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
3644 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397697, #44397699, #44397703, … |
| maximal normal subgroup of | #44397697, #44397699, #44397703, … |
| maximal quotient of | C8×Dic908, #44398586, #44398632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 645);