Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
324 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 70 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×#14556679 | C2 | semidirect |
| 2. C2×#14556656 | C2 | semidirect |
| 3. C2×#14556655 | C2 | semidirect |
| 4. #17989561 | C2 | semidirect |
| 5. #17989463 | C2 | semidirect |
| 6. #17989452 | C2 | semidirect |
| 24. C2×#11924018 | C4 | semidirect |
| 25. C2×#11924017 | C4 | semidirect |
| 26. C2×#11924013 | C4 | semidirect |
| 28. C2×SD16×C73 | C4 | semidirect |
| 131. C73 | #1876 | semidirect |
| 145. C2×SD16 | #64408 | semidirect |