Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
186 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 51 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×#14556532 | C2 | semidirect |
| 2. #17988962 | C2 | semidirect |
| 3. D8×Dic73 | C2 | semidirect |
| 4. #17988405 | C2 | semidirect |
| 5. #17988389 | C2 | semidirect |
| 6. #17988388 | C2 | semidirect |
| 7. C2×D16×C73 | C2 | semidirect |
| 38. D8×C73 | D4 | semidirect |
| 74. Dic73 | D16 | semidirect |
| 82. C73 | #2206 | semidirect |
| 84. C2×D16 | D73 | semidirect |
| 115. D8 | C22⋊D73 | semidirect |