Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C227 ⋊ #448 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,g^b=g^2261601 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398686, #44398687, #44398697, … |
| maximal normal subgroup of | #44398686, #44398687, #44398697, … |
| maximal quotient of | #44398656, #44398673, #44398724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 687);