Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 1. C2×#14556613 | C2 | semidirect |
| 2. #17989258 | C2 | semidirect |
| 3. #17989242 | C2 | semidirect |
| 4. #17988960 | C2 | semidirect |
| 5. #17988816 | C2 | semidirect |
| 6. #17988798 | C2 | semidirect |
| 7. #17988783 | C2 | semidirect |
| 8. #17988751 | C2 | semidirect |
| 9. #17988734 | C2 | semidirect |
| 10. C4×#11924017 | C2 | semidirect |
| 11. C8×D4×C73 | C2 | semidirect |
| 61. #11924017 | D4 | semidirect |
| 127. C4×C73 | #135 | semidirect |
| 141. C73 | #3284 | semidirect |
| 152. C8×D4 | D73 | semidirect |
| 272. C4 | #14556613 | semidirect |