Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C8×C227 ⋊ C2 |
| Sylow | C227 ⋊ #480 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^226,e^c=ef,g^c=g^2262279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398721, #44398722, #44398733, … |
| maximal normal subgroup of | #44398721, #44398722, #44398733, … |
| maximal quotient of | #44399821, #44399924, #44400049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 863);