Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C149 ⋊ #347 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,c^b=cf,g^b=g^1481502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #347×D149, C2×#23749402, #34046294, … |
| maximal normal subgroup of | #347×D149, C2×#23749402, #34046294, … |
| maximal quotient of | #34042611, #34042613, #34042770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 326);