Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16813873 |
| Fitting | C22×C8×C227 ⋊ C2 |
| Sylow | C227 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
3644 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400067, #44400069, #44400088, … |
| maximal normal subgroup of | #44400067, #44400069, #44400088, … |
| maximal quotient of | C22×#20300210, C22×#20300213, C22×#20300220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1323);