Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
1008 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1008 conjugacy classes of subgroups — too many to draw. Only its 210 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×D73⋊M16 | C2 | semidirect |
| 2. C2×#14556670 | C2 | semidirect |
| 3. #17989579 | C2 | direct (N × H) |
| 4. C2×#14556653 | C2 | semidirect |
| 8. D73⋊M16 | C22 | semidirect |
| 10. C2×#11924036 | C22 | semidirect |
| 12. #14556670 | C22 | semidirect |
| 13. C2×C4⋊#64408 | C22 | semidirect |
| 16. #14556653 | C22 | semidirect |
| 18. C22×D292 | C4 | semidirect |
| 24. C2×D4×D73 | C4 | semidirect |
| 25. C2×D4×D73 | C4 | semidirect |
| 29. C22×D4×C73 | C4 | semidirect |
| 34. #11924036 | C23 | semidirect |
| 37. C4⋊#64408 | C23 | semidirect |
| 50. C2×D292 | C2×C4 | semidirect |
| 63. D4×D73 | C2×C4 | semidirect |
| 78. C2×D4×C73 | C2×C4 | semidirect |
| 157. C2×C73 | #418 | semidirect |
| 161. D73 | #418 | semidirect |
| 164. C73 | C2×#418 | semidirect |
| 181. C22×D4 | #64408 | semidirect |
| 223. C2×D4 | C2×#64408 | semidirect |
| 325. C2 | #17989579 | direct (N × H) |