Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C149 ⋊ #350 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^148,c^b=cf,d^b=df1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #350×D149, C2×#23749409, #34046317, … |
| maximal normal subgroup of | #350×D149, C2×#23749409, #34046317, … |
| maximal quotient of | #34042617, #34042633, D4⋊#14558711, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 333);