Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
174 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 2. D8×Dic73 | C2 | semidirect |
| 3. #17988669 | C2 | semidirect |
| 4. #17988412 | C2 | semidirect |
| 5. #17988389 | C2 | semidirect |
| 6. C16×Dic73 | C2 | semidirect |
| 7. #357×C73 | C2 | semidirect |
| 11. #14556532 | C4 | semidirect |
| 24. D584 | C2×C4 | semidirect |
| 30. #11924003 | C2×C4 | semidirect |
| 33. D8×C73 | C2×C4 | semidirect |
| 65. Dic73 | D16 | semidirect |
| 72. C73 | C4×D16 | semidirect |
| 78. #357 | D73 | semidirect |
| 99. D8 | C4×D73 | semidirect |