Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
404 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 88 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×#14556654 | C2 | semidirect |
| 4. #17989460 | C2 | semidirect |
| 16. #14556571 | C4 | semidirect |
| 17. #14556570 | C4 | semidirect |
| 20. #14556567 | C4 | semidirect |
| 24. C22⋊Q8×C73 | C4 | semidirect |
| 37. C2×Dic146 | C2×C4 | semidirect |
| 50. C4⋊Dic73 | C2×C4 | semidirect |
| 57. C2×Q8×C73 | C2×C4 | semidirect |
| 60. C4⋊C4×C73 | C2×C4 | semidirect |
| 101. C22×C73 | #103 | semidirect |
| 109. C2×D73 | #103 | semidirect |
| 135. C73 | #1872 | semidirect |
| 150. C22⋊Q8 | #64408 | semidirect |
| 165. C2×Q8 | C2×#64408 | semidirect |
| 192. C4⋊C4 | C2×#64408 | semidirect |
| 249. C22 | #14556654 | semidirect |