Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
608 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 170 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. C2×D4×#64408 | C2 | semidirect |
| 2. #17989628 | C2 | direct (N × H) |
| 3. C2×#14556659 | C2 | semidirect |
| 4. C2×#14556653 | C2 | semidirect |
| 5. C2×#14556645 | C2 | semidirect |
| 10. D4×#64408 | C22 | semidirect |
| 14. #14556659 | C22 | semidirect |
| 15. #14556653 | C22 | semidirect |
| 16. #14556645 | C22 | semidirect |
| 18. C2×D584 | C4 | semidirect |
| 19. C2×#11924013 | C4 | semidirect |
| 20. D8×D73 | C4 | semidirect |
| 23. C2×D8×C73 | C4 | semidirect |
| 37. C2×D292 | C2×C4 | semidirect |
| 41. D4×D73 | C2×C4 | semidirect |
| 44. D584 | C2×C4 | semidirect |
| 45. #11924013 | C2×C4 | semidirect |
| 46. C2×#10596831 | C2×C4 | semidirect |
| 47. C8×D73 | C2×C4 | semidirect |
| 49. C2×D4×C73 | C2×C4 | semidirect |
| 50. D8×C73 | C2×C4 | semidirect |
| 51. C2×C8×C73 | C2×C4 | semidirect |
| 65. D4×C73 | C22×C4 | semidirect |
| 71. D292 | C22×C4 | semidirect |
| 77. C8×C73 | C22×C4 | semidirect |
| 78. #10596831 | C22×C4 | semidirect |
| 97. C2×C73 | #442 | semidirect |
| 100. D73 | #442 | semidirect |
| 103. C73 | C2×#442 | semidirect |
| 116. C2×D8 | #64408 | semidirect |
| 134. C2×D4 | C2×#64408 | semidirect |
| 142. D8 | C2×#64408 | semidirect |
| 149. C2×C8 | C2×#64408 | semidirect |
| 167. D4 | C22×#64408 | semidirect |
| 181. C8 | C22×#64408 | semidirect |
| 203. C2 | #17989628 | direct (N × H) |