Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556588 | C2 | semidirect |
| 2. #17988963 | C2 | semidirect |
| 3. #17988935 | C2 | semidirect |
| 4. #17988782 | C2 | semidirect |
| 5. #17988720 | C2 | semidirect |
| 6. #17988640 | C2 | semidirect |
| 7. #532×C73 | C2 | semidirect |
| 11. C2×#11924013 | C22 | semidirect |
| 16. C4⋊#10596831 | C22 | semidirect |
| 17. #14556511 | C22 | semidirect |
| 19. C4×#10596831 | C22 | semidirect |
| 21. C4⋊Q8×C73 | C22 | semidirect |
| 22. #127×C73 | C22 | semidirect |
| 27. C4×D4×C73 | C22 | semidirect |
| 74. C2×C4×C73 | D8 | semidirect |
| 113. C73 | #3205 | semidirect |
| 114. #532 | D73 | semidirect |
| 126. C4⋊Q8 | C2×D73 | semidirect |
| 131. #127 | C2×D73 | semidirect |
| 136. C4×D4 | C2×D73 | semidirect |
| 193. C2×C4 | #11924013 | semidirect |