Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
442 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 76 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×C4×#64408 | C2 | semidirect |
| 2. C2×#14556656 | C2 | semidirect |
| 3. #17989558 | C2 | semidirect |
| 4. #17989457 | C2 | semidirect |
| 17. #14556567 | C4 | semidirect |
| 18. #14556566 | C4 | semidirect |
| 19. #14556565 | C4 | semidirect |
| 24. C22⋊Q8×C73 | C4 | semidirect |
| 34. C4×#64408 | D4 | semidirect |
| 40. C2×D292 | C2×C4 | semidirect |
| 50. C4⋊Dic73 | C2×C4 | semidirect |
| 57. C2×Q8×C73 | C2×C4 | semidirect |
| 60. C4⋊C4×C73 | C2×C4 | semidirect |
| 99. C22×C73 | #104 | semidirect |
| 110. C2×D73 | #104 | semidirect |
| 130. C73 | #1896 | semidirect |
| 142. C22⋊Q8 | #64408 | semidirect |
| 158. C2×Q8 | C2×#64408 | semidirect |
| 182. C4⋊C4 | C2×#64408 | semidirect |
| 241. C22 | #14556656 | semidirect |