Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | H(5,𝔽2)×C149 ⋊ C2 |
| Sylow | C149 ⋊ B(4,𝔽2) |
198 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|b^a=bd,c^a=ce,g^a=g^148,e^b=ef,d^c=df1274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34046673, #34046674, #34046678, … |
| maximal normal subgroup of | #34046673, #34046674, #34046678, … |
| maximal quotient of | #34043609, #34043614, #34043620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 736);