Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
800 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 198 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. #17989567 | C2 | semidirect |
| 3. #17989566 | C2 | semidirect |
| 4. D73⋊#99 | C2 | semidirect |
| 5. C2×#14556649 | C2 | semidirect |
| 8. #14556670 | C22 | semidirect |
| 9. C2×C22⋊#64408 | C22 | semidirect |
| 10. #14556650 | C22 | semidirect |
| 11. #14556649 | C22 | semidirect |
| 12. #14556649 | C22 | semidirect |
| 14. C2×#11924028 | C4 | semidirect |
| 16. C2×#11924027 | C4 | semidirect |
| 17. C2×#11924027 | C4 | semidirect |
| 19. C22×C22⋊D73 | C4 | semidirect |
| 21. C2×D4×D73 | C4 | semidirect |
| 24. C22×D4×C73 | C4 | semidirect |
| 30. C23×D73 | C2×C4 | semidirect |
| 37. C2×Dic146 | C2×C4 | semidirect |
| 38. C2×Dic146 | C2×C4 | semidirect |
| 44. C2×C22⋊D73 | C2×C4 | semidirect |
| 45. C2×C22⋊D73 | C2×C4 | semidirect |
| 46. C2×C22⋊D73 | C2×C4 | semidirect |
| 47. C2×C22⋊D73 | C2×C4 | semidirect |
| 53. C22×Dic73 | C2×C4 | semidirect |
| 54. C22×Dic73 | C2×C4 | semidirect |
| 55. C2×C4×D73 | C2×C4 | semidirect |
| 56. C2×C4×D73 | C2×C4 | semidirect |
| 58. C24×C73 | C2×C4 | semidirect |
| 61. C2×D4×C73 | C2×C4 | semidirect |
| 62. C2×D4×C73 | C2×C4 | semidirect |
| 63. C22×C4×C73 | C2×C4 | semidirect |
| 134. C73 | #2883 | semidirect |
| 152. C22×D4 | #64408 | semidirect |
| 161. C24 | C2×#64408 | semidirect |
| 185. C2×D4 | C2×#64408 | semidirect |
| 186. C2×D4 | C2×#64408 | semidirect |
| 193. C22×C4 | C2×#64408 | semidirect |