Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
1112 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1112 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. C22×C22⋊#64408 | C2 | semidirect |
| 2. C2×#14556650 | C2 | semidirect |
| 3. D73⋊#99 | C2 | direct (N × H) |
| 4. C2×#14556649 | C2 | semidirect |
| 9. C2×C22⋊#64408 | C22 | semidirect |
| 10. C2×C22⋊#64408 | C22 | semidirect |
| 11. #14556650 | C22 | semidirect |
| 12. #14556649 | C22 | semidirect |
| 13. C24×D73 | C4 | semidirect |
| 16. C22×C22⋊D73 | C4 | semidirect |
| 21. C2×D4×D73 | C4 | semidirect |
| 23. C22×C4×D73 | C4 | semidirect |
| 24. C22×D4×C73 | C4 | semidirect |
| 30. C22⋊#64408 | C23 | semidirect |
| 38. C23×D73 | C2×C4 | semidirect |
| 39. C23×D73 | C2×C4 | semidirect |
| 47. C2×D292 | C2×C4 | semidirect |
| 53. C2×C22⋊D73 | C2×C4 | semidirect |
| 54. C2×C22⋊D73 | C2×C4 | semidirect |
| 60. C22×Dic73 | C2×C4 | semidirect |
| 64. C2×C4×D73 | C2×C4 | semidirect |
| 66. C24×C73 | C2×C4 | semidirect |
| 69. C2×D4×C73 | C2×C4 | semidirect |
| 70. C22×C4×C73 | C2×C4 | semidirect |
| 79. C23×C73 | C22×C4 | semidirect |
| 103. C22×D73 | C22×C4 | semidirect |
| 115. C2×C4×C73 | C22×C4 | semidirect |
| 121. C2×Dic73 | C22×C4 | semidirect |
| 155. C2×D73 | #99 | semidirect |
| 167. C2×C73 | C2×#99 | semidirect |
| 173. D73 | C2×#99 | semidirect |
| 175. C73 | C22×#99 | semidirect |
| 191. C22×D4 | #64408 | semidirect |
| 215. C24 | C2×#64408 | semidirect |
| 233. C2×D4 | C2×#64408 | semidirect |
| 242. C22×C4 | C2×#64408 | semidirect |
| 283. C23 | C22×#64408 | semidirect |
| 300. C2×C4 | C22×#64408 | semidirect |
| 347. C2 | D73⋊#99 | direct (N × H) |