Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C149 ⋊ #356 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=f,c^2=f,d^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^148,d^c=df827 conjugacy classes — view the full character table.
| maximal subgroup of | #356×D149, C2×#23749423, #34046373, … |
| maximal normal subgroup of | #356×D149, C2×#23749423, #34046373, … |
| maximal quotient of | #34042624, #34042636, #34042696, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 347);