Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
264 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 71 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. #17989700 | C2 | semidirect |
| 2. C2×C4⋊#10596842 | C2 | semidirect |
| 3. Q8⋊#10596842 | C2 | semidirect |
| 4. D4⋊#10596842 | C2 | semidirect |
| 44. #11924029 | C8 | semidirect |
| 46. #11924028 | C8 | semidirect |
| 48. #11924027 | C8 | semidirect |
| 54. #41×C73 | C8 | semidirect |
| 71. Q8×C73 | C2×C8 | semidirect |
| 73. D4×C73 | C2×C8 | semidirect |
| 82. D292 | C2×C8 | semidirect |
| 91. Dic146 | C2×C8 | semidirect |
| 122. C73 | #1477 | semidirect |
| 150. #41 | #10596842 | semidirect |
| 181. Q8 | C2×#10596842 | semidirect |
| 188. D4 | C2×#10596842 | semidirect |