Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊#10596842 |
| unambiguous semidirect product | #64408⋊(C22⋊C8) |
| Fitting | C22×C4×C73 ⋊ C8 |
| Sylow | C73 ⋊ C4×C22⋊C8 |
436 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
224 conjugacy classes — view the full character table.
| maximal subgroup of | #34032729, #34032730, #34032735, … |
| maximal normal subgroup of | #34032729, #34032730, #34032735, … |
| maximal quotient of | C8×C22⋊#10596842, #34033256, #34033258, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21645);