Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
388 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 3. C2×#14556645 | C2 | semidirect |
| 4. C4⋊C4×#64408 | C2 | semidirect |
| 5. #17989461 | C2 | semidirect |
| 6. #17989460 | C2 | semidirect |
| 11. D4×#64408 | C4 | semidirect |
| 17. #14556653 | C4 | semidirect |
| 23. #14556513 | C4 | semidirect |
| 24. #14556512 | C4 | semidirect |
| 25. #14556511 | C4 | semidirect |
| 26. #102×C73 | C4 | semidirect |
| 35. #11924036 | C2×C4 | semidirect |
| 40. C4⋊#64408 | C2×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 | C42 | semidirect |
| 93. D292 | C42 | semidirect |
| 140. C73 | #1762 | semidirect |
| 164. #102 | #64408 | semidirect |
| 190. C2×C8 | C2×#64408 | semidirect |
| 197. C4⋊C4 | C2×#64408 | semidirect |
| 216. D4 | C4×#64408 | semidirect |