Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 117 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×#14556610 | C2 | semidirect |
| 2. #17989016 | C2 | direct (N × H) |
| 3. C2×Dic584 | C2 | semidirect |
| 4. C2×#14556535 | C2 | semidirect |
| 5. C2×C16×D73 | C2 | semidirect |
| 6. C2×D16×C73 | C2 | semidirect |
| 9. #14556610 | C22 | semidirect |
| 13. Dic584 | C22 | semidirect |
| 14. #14556535 | C22 | semidirect |
| 16. C16×D73 | C22 | semidirect |
| 18. D16×C73 | C22 | semidirect |
| 64. C2×C73 | #508 | semidirect |
| 68. C73 | C2×#508 | semidirect |
| 73. C2×D16 | D73 | semidirect |
| 84. D16 | C2×D73 | semidirect |
| 133. C2 | #17989016 | direct (N × H) |