Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4×C8×C227 ⋊ C2 |
| Sylow | C227 ⋊ #436 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,g^a=g^226,c^b=cf,g^b=g^2263644 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397691, #44397693, #44398563, … |
| maximal normal subgroup of | #44397691, #44397693, #44398563, … |
| maximal quotient of | #44398620, #44398626, #44398632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 628);