Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #101×C149 ⋊ C2 |
| Sylow | C149 ⋊ #413 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,e^b=ef,g^b=g^148,g^c=g^148836 conjugacy classes — view the full character table.
| maximal subgroup of | #34046373, #34046375, #34046381, … |
| maximal normal subgroup of | #34046373, #34046375, #34046381, … |
| maximal quotient of | #34043004, #34043008, #34043024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 532);