Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#11924753 |
| derived, Sylow | C149 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
656 conjugacy classes — view the full character table.
| maximal subgroup of | #34059513, #34059524, #34059527, … |
| maximal normal subgroup of | #34059513, #34059524, #34059527, … |
| maximal quotient of | C2×C8×#11924753, C2×#23750466, M16×#11924753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1504);