Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C227 ⋊ #458 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3632 |
Polycyclic presentation:
2^6,227|a^2=f,b^a=bd,c^a=ce,g^a=g^226,e^b=ef,d^c=df1937 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44401722, #44401723, #44401728, … |
| maximal normal subgroup of | #44401722, #44401723, #44401728, … |
| maximal quotient of | #44398720, #44398725, #44398731, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 739);