Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
396 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 110 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. C4×#11924036 | C2 | semidirect |
| 3. C4×C4⋊#64408 | C2 | semidirect |
| 4. #17989460 | C2 | semidirect |
| 9. #14556653 | C4 | direct (N × H) |
| 15. C4×D292 | C4 | semidirect |
| 16. D4×Dic73 | C4 | semidirect |
| 17. #14556553 | C4 | semidirect |
| 23. C4×D4×C73 | C4 | semidirect |
| 26. #11924036 | C2×C4 | semidirect |
| 29. C4⋊#64408 | C2×C4 | semidirect |
| 69. D4×C73 | C42 | semidirect |
| 82. D292 | C42 | semidirect |
| 109. C4×C73 | #102 | semidirect |
| 114. Dic73 | #102 | semidirect |
| 124. C73 | C4×#102 | semidirect |
| 138. C4×D4 | #64408 | semidirect |
| 193. D4 | C4×#64408 | semidirect |
| 237. C4 | #14556653 | direct (N × H) |