Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
162 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 50 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. Q16×#64408 | C2 | semidirect |
| 3. #17989514 | C2 | semidirect |
| 4. #17989500 | C2 | semidirect |
| 6. C16×#64408 | C2 | semidirect |
| 18. #14556536 | C4 | semidirect |
| 19. #14556535 | C4 | semidirect |
| 20. #14556534 | C4 | semidirect |
| 22. SD32×C73 | C4 | semidirect |
| 34. Dic292 | C2×C4 | semidirect |
| 39. #11924003 | C2×C4 | semidirect |
| 40. Q16×C73 | C2×C4 | semidirect |
| 42. C16×C73 | C2×C4 | semidirect |
| 68. #64408 | SD32 | direct (N × H) |
| 79. C73 | C4×SD32 | semidirect |
| 94. SD32 | #64408 | direct (N × H) |
| 107. Q16 | C2×#64408 | semidirect |
| 121. C16 | C2×#64408 | semidirect |