Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
174 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 174 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. D8×#64408 | C2 | semidirect |
| 2. #17989513 | C2 | semidirect |
| 3. #17989499 | C2 | semidirect |
| 4. C16×#64408 | C2 | semidirect |
| 12. D1168 | C4 | semidirect |
| 13. #14556532 | C4 | semidirect |
| 15. D16×C73 | C4 | semidirect |
| 23. D584 | C2×C4 | semidirect |
| 26. #11924003 | C2×C4 | semidirect |
| 27. D8×C73 | C2×C4 | semidirect |
| 28. C16×C73 | C2×C4 | semidirect |
| 48. #64408 | D16 | direct (N × H) |
| 57. C73 | C4×D16 | semidirect |
| 67. D16 | #64408 | direct (N × H) |
| 77. D8 | C2×#64408 | semidirect |
| 85. C16 | C2×#64408 | semidirect |