Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
182 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 56 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #17989622 | C2 | semidirect |
| 2. #17989615 | C2 | semidirect |
| 3. #17989450 | C2 | semidirect |
| 4. #17989435 | C2 | semidirect |
| 5. D4⋊#10596833 | C2 | semidirect |
| 6. #17989429 | C2 | semidirect |
| 54. D292 | M16 | semidirect |
| 61. #10596833 | D8 | semidirect |
| 84. C73 | #1581 | semidirect |