Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C22×C4×C149 ⋊ C4 |
| Sylow | C149 ⋊ #352 |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^105,d^b=de,d^c=df,g^d=g^148605 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#23750527, D149⋊#352, #34060942, … |
| maximal normal subgroup of | C2×#23750527, D149⋊#352, #34060942, … |
| maximal quotient of | #34059617, #34059636, #34059671, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1451);