Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556621 | C2 | semidirect |
| 2. C2×#14556616 | C2 | semidirect |
| 3. C2×#14556579 | C2 | semidirect |
| 4. #17988979 | C2 | semidirect |
| 5. #17988974 | C2 | semidirect |
| 6. #17988969 | C2 | semidirect |
| 7. C4×#11924012 | C2 | semidirect |
| 8. #532×C73 | C2 | semidirect |
| 13. C2×#11924018 | C22 | semidirect |
| 14. C2×#11924016 | C22 | semidirect |
| 22. #14556502 | C22 | semidirect |
| 23. C4×#10596831 | C22 | semidirect |
| 25. C4⋊Q8×C73 | C22 | semidirect |
| 26. #127×C73 | C22 | semidirect |
| 27. #124×C73 | C22 | semidirect |
| 43. #11924012 | D4 | semidirect |
| 107. C73 | #3153 | semidirect |
| 110. #532 | D73 | semidirect |
| 126. C4⋊Q8 | C2×D73 | semidirect |
| 127. #127 | C2×D73 | semidirect |
| 131. #124 | C2×D73 | semidirect |