Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C227 ⋊ #488 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^b=g^226,g^c=g^2261604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397908, #44397910 |
| maximal normal subgroup of | #44397908, #44397910 |
| maximal quotient of | #44399864, #44400413, #44400420, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 903);