Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
368 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 368 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. #17989017 | C2 | direct (N × H) |
| 3. C2×#14556537 | C2 | semidirect |
| 4. C2×#14556535 | C2 | semidirect |
| 5. C2×#14556534 | C2 | semidirect |
| 6. C2×#14556532 | C2 | semidirect |
| 7. C22×#11924003 | C2 | semidirect |
| 8. C2×#135×C73 | C2 | semidirect |
| 11. #14556613 | C22 | semidirect |
| 15. #14556537 | C22 | semidirect |
| 16. #14556535 | C22 | semidirect |
| 17. #14556534 | C22 | semidirect |
| 18. #14556532 | C22 | semidirect |
| 21. C2×#11924003 | C22 | semidirect |
| 24. #135×C73 | C22 | semidirect |
| 96. C2×C73 | #508 | semidirect |
| 100. C73 | C2×#508 | semidirect |
| 102. C2×#135 | D73 | semidirect |
| 114. #135 | C2×D73 | semidirect |
| 197. C2 | #17989017 | direct (N × H) |