Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011971 |
| Sylow | C149 ⋊ C2×#100 |
186 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 52 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
614 conjugacy classes — view the full character table.
| maximal subgroup of | #34059775, #34059776, C4×#18011971, … |
| maximal normal subgroup of | #34059775, #34059776, C4×#18011971, … |
| maximal quotient of | C2×#23750468, C2×#23750469, #34059930, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1531);