Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011979 |
| unambiguous semidirect product | D149⋊#106 |
| Fitting | C2×C8×C149 ⋊ C4 |
| Sylow | C149 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34059756, #34059757, #34059762, … |
| maximal normal subgroup of | #34059756, #34059757, #34059762, … |
| maximal quotient of | C2×#23750486, D149⋊#334, C2×#23750487, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1557);