Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊#10597010 |
| Fitting | C22×C4×C149 ⋊ C4 |
| Sylow | C149 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059532, #34059533, #34059538, … |
| maximal normal subgroup of | #34059532, #34059533, #34059538, … |
| maximal quotient of | C4×(C2×#10597010)⋊C4, #34059865, #34059867, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1486);