Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
620 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#14556518 | C2 | semidirect |
| 3. C2×#14556517 | C2 | semidirect |
| 4. #17988586 | C2 | semidirect |
| 5. C2×#14556507 | C2 | semidirect |
| 6. #17988488 | C2 | semidirect |
| 7. #417×C73 | C2 | semidirect |
| 11. #14556637 | C4 | semidirect |
| 19. C2×#11924012 | C22 | semidirect |
| 21. C2×C4×Dic73 | C22 | semidirect |
| 28. C2×M16×C73 | C22 | semidirect |
| 29. C2×C4⋊C4×C73 | C22 | semidirect |
| 95. Q8×C73 | C22⋊C4 | semidirect |
| 99. D4×C73 | C22⋊C4 | semidirect |
| 124. D292 | C22⋊C4 | semidirect |
| 129. Dic146 | C22⋊C4 | semidirect |
| 166. C73 | #1792 | semidirect |
| 171. #417 | D73 | semidirect |
| 187. C2×M16 | C2×D73 | semidirect |
| 188. C2×C4⋊C4 | C2×D73 | semidirect |
| 263. Q8 | #11924005 | semidirect |
| 277. D4 | #11924005 | semidirect |