Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×C4×C149 ⋊ C4 |
| Sylow | C149 ⋊ #381 |
218 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=f,c^2=d,b^a=bd,c^a=ce,g^a=g^105,g^f=g^148620 conjugacy classes — view the full character table.
| maximal subgroup of | #34059539, #34059540, #34059595, … |
| maximal normal subgroup of | #34059539, #34059540, #34059595, … |
| maximal quotient of | #34059865, #34059867, #34059875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1492);