Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C227 ⋊ #500 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
Polycyclic presentation:
2^6,227|a^2=d,b^2=d,c^2=ef,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^c=g^2261604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398967, #44398968, #44398969, … |
| maximal normal subgroup of | #44398967, #44398968, #44398969, … |
| maximal quotient of | #44399893, #44400464, #44400694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 952);