Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
200 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. #17989676 | C2 | direct (N × H) |
| 24. C2×#10596831 | C8 | semidirect |
| 25. C8×D73 | C8 | semidirect |
| 27. C2×C8×C73 | C8 | semidirect |
| 43. C8×C73 | C2×C8 | semidirect |
| 44. #10596831 | C2×C8 | semidirect |
| 58. C2×C73 | #334 | semidirect |
| 60. D73 | #334 | semidirect |
| 64. C73 | C2×#334 | semidirect |
| 87. C2×C8 | #10596842 | semidirect |
| 108. C8 | C2×#10596842 | semidirect |
| 125. C2 | #17989676 | direct (N × H) |