Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C227 ⋊ #477 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
Polycyclic presentation:
2^6,227|a^2=df,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^226,e^c=ef,g^c=g^2262279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398856, #44398857, #44398862, … |
| maximal normal subgroup of | #44398856, #44398857, #44398862, … |
| maximal quotient of | #44399740, #44399991, #44400327, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 845);