Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C149 ⋊ C4 |
| Sylow | C149 ⋊ #365 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^105,d^b=df,g^d=g^148608 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#23750549, D149⋊#365, #34061038, … |
| maximal normal subgroup of | C2×#23750549, D149⋊#365, #34061038, … |
| maximal quotient of | #34059715, #34059717, #34059756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1473);