Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
412 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 78 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×#14556653 | C2 | semidirect |
| 3. #17989529 | C2 | semidirect |
| 4. #17989460 | C2 | semidirect |
| 17. #14556566 | C4 | semidirect |
| 18. #14556565 | C4 | semidirect |
| 21. #14556562 | C4 | semidirect |
| 24. #121×C73 | C4 | semidirect |
| 29. #11924036 | D4 | semidirect |
| 142. C73 | #1895 | semidirect |
| 160. #121 | #64408 | semidirect |