Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
362 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 66 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. #17989654 | C2 | semidirect |
| 2. #17989586 | C2 | semidirect |
| 3. D73⋊#100 | C2 | semidirect |
| 4. #17989454 | C2 | semidirect |
| 14. #14556588 | C4 | semidirect |
| 15. #14556587 | C4 | semidirect |
| 16. #14556580 | C4 | semidirect |
| 20. #124×C73 | C4 | semidirect |
| 28. C4×#64408 | D4 | semidirect |
| 35. C2×D292 | C2×C4 | semidirect |
| 45. C4×Dic73 | C2×C4 | semidirect |
| 46. C2×Q8×C73 | C2×C4 | semidirect |
| 49. C42×C73 | C2×C4 | semidirect |
| 103. C73 | #1911 | semidirect |
| 115. #124 | #64408 | semidirect |
| 127. C2×Q8 | C2×#64408 | semidirect |
| 152. C42 | C2×#64408 | semidirect |