Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
302 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 68 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. #17989598 | C2 | semidirect |
| 4. #17989533 | C2 | semidirect |
| 5. #17989466 | C2 | semidirect |
| 6. #17989458 | C2 | semidirect |
| 25. #14556519 | C4 | semidirect |
| 26. #14556518 | C4 | semidirect |
| 27. #14556517 | C4 | semidirect |
| 28. #104×C73 | C4 | semidirect |
| 58. #11924012 | C2×C4 | semidirect |
| 62. C4×Dic73 | C2×C4 | semidirect |
| 64. M16×C73 | C2×C4 | semidirect |
| 65. C42×C73 | C2×C4 | semidirect |
| 75. Q8×C73 | C4⋊C4 | semidirect |
| 77. D4×C73 | C4⋊C4 | semidirect |
| 88. D292 | C4⋊C4 | semidirect |
| 99. Dic146 | C4⋊C4 | semidirect |
| 132. C73 | #1859 | semidirect |
| 158. #104 | #64408 | semidirect |
| 180. M16 | C2×#64408 | semidirect |
| 197. C42 | C2×#64408 | semidirect |
| 202. Q8 | C4⋊#64408 | semidirect |
| 209. D4 | C4⋊#64408 | semidirect |