Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11924015 | C2 | semidirect |
| 2. C22×D584 | C2 | semidirect |
| 3. C22×#11924013 | C2 | semidirect |
| 4. C2×#14556587 | C2 | semidirect |
| 5. C2×#14556580 | C2 | semidirect |
| 6. #17988973 | C2 | direct (N × H) |
| 7. C2×#14556501 | C2 | semidirect |
| 8. C22×SD16×C73 | C2 | semidirect |
| 13. C2×#11924015 | C22 | semidirect |
| 15. C2×D584 | C22 | semidirect |
| 17. C2×#11924013 | C22 | semidirect |
| 20. #14556587 | C22 | semidirect |
| 22. #14556580 | C22 | semidirect |
| 25. #14556501 | C22 | semidirect |
| 29. C2×SD16×C73 | C22 | semidirect |
| 47. C2×#10596831 | D4 | semidirect |
| 64. C2×C8×C73 | D4 | semidirect |
| 97. C8×C73 | C2×D4 | semidirect |
| 98. #10596831 | C2×D4 | semidirect |
| 117. C2×C73 | #496 | semidirect |
| 123. C73 | C2×#496 | semidirect |
| 125. C22×SD16 | D73 | semidirect |
| 140. C2×SD16 | C2×D73 | semidirect |
| 184. C2×C8 | C22⋊D73 | semidirect |
| 221. C8 | C2×C22⋊D73 | semidirect |
| 242. C2 | #17988973 | direct (N × H) |