Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C8×C227 ⋊ C2 |
| Sylow | C227 ⋊ #493 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^2263638 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397770, #44397779, #44397781, … |
| maximal normal subgroup of | #44397770, #44397779, #44397781, … |
| maximal quotient of | #44399326, #44399340, #44399349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 926);