Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
216 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 49 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. #17989030 | C2 | semidirect |
| 3. C2×#14556536 | C2 | semidirect |
| 4. #17988862 | C2 | semidirect |
| 5. #17988401 | C2 | semidirect |
| 6. #17988395 | C2 | semidirect |
| 7. #350×C73 | C2 | semidirect |
| 14. C2×Dic292 | C22 | semidirect |
| 20. #14556527 | C22 | semidirect |
| 23. M32×C73 | C22 | semidirect |
| 24. C2×C16×C73 | C22 | semidirect |
| 92. C73 | #2194 | semidirect |
| 99. #350 | D73 | semidirect |
| 113. M32 | C2×D73 | semidirect |
| 114. C2×C16 | C2×D73 | semidirect |