Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
816 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 269 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. C22×#11924012 | C2 | semidirect |
| 3. #17988586 | C2 | direct (N × H) |
| 4. C2×#14556514 | C2 | semidirect |
| 5. C2×#14556511 | C2 | semidirect |
| 6. C22×C4⋊C4×C73 | C2 | semidirect |
| 9. C2×#11924028 | C4 | semidirect |
| 16. C2×#11924012 | C22 | semidirect |
| 18. #14556514 | C22 | semidirect |
| 19. #14556511 | C22 | semidirect |
| 25. C2×C4⋊C4×C73 | C22 | semidirect |
| 29. #11924028 | C2×C4 | semidirect |
| 32. C2×Dic146 | C2×C4 | semidirect |
| 36. C2×D292 | C2×C4 | semidirect |
| 85. D292 | C22×C4 | semidirect |
| 89. Dic146 | C22×C4 | semidirect |
| 110. C2×C73 | #417 | semidirect |
| 116. C73 | C2×#417 | semidirect |
| 119. C22×C4⋊C4 | D73 | semidirect |
| 139. C2×C4⋊C4 | C2×D73 | semidirect |
| 227. C2 | #17988586 | direct (N × H) |