Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
456 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#14556511 | C2 | semidirect |
| 3. C2×C22⋊#10596831 | C2 | semidirect |
| 4. #17988349 | C2 | semidirect |
| 5. C22×C4⋊C4×C73 | C2 | semidirect |
| 10. #14556565 | C4 | semidirect |
| 24. C2×D292 | C2×C4 | semidirect |
| 33. C4⋊Dic73 | C2×C4 | semidirect |
| 48. C4⋊C4×C73 | D4 | semidirect |
| 90. C22×C73 | #102 | semidirect |
| 120. C73 | #1874 | semidirect |
| 122. C22×C4⋊C4 | D73 | semidirect |
| 167. C4⋊C4 | C22⋊D73 | semidirect |
| 217. C22 | #14556511 | semidirect |