Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
464 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 162 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×#14556679 | C2 | semidirect |
| 2. #17989633 | C2 | direct (N × H) |
| 3. C2×#14556661 | C2 | semidirect |
| 4. C2×#14556656 | C2 | semidirect |
| 5. C2×#14556645 | C2 | semidirect |
| 8. #14556679 | C22 | semidirect |
| 14. #14556661 | C22 | semidirect |
| 15. #14556656 | C22 | semidirect |
| 16. #14556645 | C22 | semidirect |
| 18. #14556614 | C4 | semidirect |
| 20. C2×#11924015 | C4 | semidirect |
| 21. C2×D584 | C4 | semidirect |
| 23. C2×Q16×C73 | C4 | semidirect |
| 43. #11924015 | C2×C4 | semidirect |
| 44. D584 | C2×C4 | semidirect |
| 49. Q16×C73 | C2×C4 | semidirect |
| 86. C2×C73 | #444 | semidirect |
| 92. C73 | C2×#444 | semidirect |
| 102. C2×Q16 | #64408 | semidirect |
| 126. Q16 | C2×#64408 | semidirect |
| 181. C2 | #17989633 | direct (N × H) |