Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
216 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×D1168 | C2 | semidirect |
| 2. C2×#14556532 | C2 | semidirect |
| 3. #17988962 | C2 | semidirect |
| 4. C16×Dic73 | C2 | semidirect |
| 5. C2×D16×C73 | C2 | semidirect |
| 23. #11924003 | D4 | semidirect |
| 28. C16×C73 | D4 | semidirect |
| 48. Dic73 | D16 | semidirect |
| 54. C73 | #2246 | semidirect |
| 57. C2×D16 | D73 | semidirect |
| 82. C16 | C22⋊D73 | semidirect |