Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C227 ⋊ #424 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^226,c^b=cf2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400010, #44400011, #44400021, … |
| maximal normal subgroup of | #44400010, #44400011, #44400021, … |
| maximal quotient of | #44398505, #44398509, #44398514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 576);