Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 74 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. #17989592 | C2 | semidirect |
| 2. C2×#14556656 | C2 | semidirect |
| 3. C2×#14556655 | C2 | semidirect |
| 4. C42×#64408 | C2 | semidirect |
| 14. #14556589 | C4 | semidirect |
| 15. #14556587 | C4 | semidirect |
| 16. #14556579 | C4 | semidirect |
| 20. #124×C73 | C4 | semidirect |
| 27. C4×#64408 | D4 | semidirect |
| 87. Dic73 | #104 | semidirect |
| 96. C73 | #1962 | semidirect |
| 108. #124 | #64408 | semidirect |