Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C8×C149 ⋊ C2 |
| Sylow | C149 ⋊ #331 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,c^2=f,d^2=ef,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^1481499 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #331×D149, C2×#23749368, #34043338, … |
| maximal normal subgroup of | #331×D149, C2×#23749368, #34043338, … |
| maximal quotient of | #34042511, #34042575, #34042727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 292);