Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
346 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 66 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. #17989654 | C2 | semidirect |
| 2. #17989586 | C2 | semidirect |
| 3. #17989579 | C2 | semidirect |
| 4. #17989568 | C2 | semidirect |
| 5. #17989469 | C2 | semidirect |
| 6. #17989455 | C2 | semidirect |
| 22. C2×#11924015 | C4 | semidirect |
| 23. C2×D584 | C4 | semidirect |
| 24. C2×#11924013 | C4 | semidirect |
| 26. C2×SD16×C73 | C4 | semidirect |
| 48. C2×D292 | C2×C4 | semidirect |
| 61. C2×#10596831 | C2×C4 | semidirect |
| 62. C2×Q8×C73 | C2×C4 | semidirect |
| 65. C2×C8×C73 | C2×C4 | semidirect |
| 129. C73 | #1904 | semidirect |
| 142. C2×SD16 | #64408 | semidirect |
| 161. C2×Q8 | C2×#64408 | semidirect |
| 184. C2×C8 | C2×#64408 | semidirect |