Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #101×C227 ⋊ C2 |
| Sylow | C227 ⋊ #355 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3632 |
Polycyclic presentation:
2^6,227|a^2=d,c^2=f,d^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^226,d^c=df1256 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #355×D227, C2×#28408828, #44401417, … |
| maximal normal subgroup of | #355×D227, C2×#28408828, #44401417, … |
| maximal quotient of | #44397665, #44397677, #44397736, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 345);