Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
382 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14556616 | C2 | semidirect |
| 2. C22×#11924013 | C2 | semidirect |
| 3. C2×#14556508 | C2 | semidirect |
| 4. C2×#14556507 | C2 | semidirect |
| 5. #17988554 | C2 | semidirect |
| 6. #17988351 | C2 | semidirect |
| 7. C2×AGL(1,ℤ/8)×C73 | C2 | semidirect |
| 133. C73 | #2018 | semidirect |
| 135. C2×AGL(1,ℤ/8) | D73 | semidirect |