Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
362 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 80 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×#14556659 | C2 | semidirect |
| 4. #17989538 | C2 | semidirect |
| 5. #17989460 | C2 | semidirect |
| 6. #17989452 | C2 | semidirect |
| 23. #14556513 | C4 | semidirect |
| 24. #14556512 | C4 | semidirect |
| 25. #14556511 | C4 | semidirect |
| 26. #102×C73 | C4 | semidirect |
| 54. C2×#10596831 | C2×C4 | semidirect |
| 57. C4⋊Dic73 | C2×C4 | semidirect |
| 60. C2×C8×C73 | C2×C4 | semidirect |
| 61. C4⋊C4×C73 | C2×C4 | semidirect |
| 85. D4×C73 | C4⋊C4 | semidirect |
| 93. D292 | C4⋊C4 | semidirect |
| 140. C73 | #1864 | semidirect |
| 165. #102 | #64408 | semidirect |
| 190. C2×C8 | C2×#64408 | semidirect |
| 198. C4⋊C4 | C2×#64408 | semidirect |
| 216. D4 | C4⋊#64408 | semidirect |