Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
436 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×C4×#10596842 | C2 | semidirect |
| 3. (C2×#10596842)⋊C4 | C2 | semidirect |
| 6. C22⋊#10596842 | C4 | direct (N × H) |
| 18. C2×#10596842 | C2×C4 | semidirect |
| 23. C22×#64408 | C8 | semidirect |
| 34. C22×Dic73 | C8 | semidirect |
| 37. C2×C4×D73 | C8 | semidirect |
| 38. C2×C4×D73 | C8 | semidirect |
| 41. C22×C4×C73 | C8 | semidirect |
| 80. C22×C73 | C4×C8 | semidirect |
| 88. C2×D73 | C4×C8 | semidirect |
| 97. #64408 | C22⋊C8 | semidirect |
| 100. C4×C73 | C22⋊C8 | semidirect |
| 102. Dic73 | C22⋊C8 | semidirect |
| 113. C73 | C4×C22⋊C8 | semidirect |
| 147. C22×C4 | #10596842 | semidirect |
| 206. C22 | C4×#10596842 | semidirect |
| 215. C4 | C22⋊#10596842 | direct (N × H) |