Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 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. C2×#14556650 | C2 | semidirect |
| 2. #17989529 | C2 | semidirect |
| 3. C4×C22⋊#64408 | C2 | semidirect |
| 12. C22×D292 | C4 | semidirect |
| 19. C2×#11924005 | C4 | semidirect |
| 20. C2×C4⋊C4×C73 | C4 | semidirect |
| 26. C22⋊#64408 | D4 | semidirect |
| 104. C4×C73 | #99 | semidirect |
| 116. C73 | #1964 | semidirect |
| 129. C2×C4⋊C4 | #64408 | semidirect |
| 222. C4 | #14556650 | semidirect |