Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
230 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 51 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×#14556614 | C2 | semidirect |
| 2. C2×#14556532 | C2 | semidirect |
| 3. #17988820 | C2 | semidirect |
| 4. #17988391 | C2 | semidirect |
| 5. #17988389 | C2 | semidirect |
| 6. #17988366 | C2 | semidirect |
| 7. C2×SD32×C73 | C2 | semidirect |
| 32. D584 | D4 | semidirect |
| 42. Q16×C73 | D4 | semidirect |
| 90. C73 | #2186 | semidirect |
| 92. C2×SD32 | D73 | semidirect |
| 123. Q16 | C22⋊D73 | semidirect |