Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011980 |
| unambiguous semidirect product | D149⋊#107 |
| Fitting | C2×C8×C149 ⋊ C4 |
| Sylow | C149 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34059748, #34059749, #34059766, … |
| maximal normal subgroup of | #34059748, #34059749, #34059766, … |
| maximal quotient of | C2×#23750488, D149⋊#335, C2×#23750489, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1558);