Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
388 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 3. C2×#14556502 | C2 | semidirect |
| 4. #17988349 | C2 | semidirect |
| 5. C4×C4⋊C4×C73 | C2 | semidirect |
| 10. C4×D292 | C4 | semidirect |
| 13. #14556511 | C4 | semidirect |
| 29. C2×#10596831 | C2×C4 | semidirect |
| 38. C4⋊C4×C73 | C2×C4 | semidirect |
| 64. D292 | C42 | semidirect |
| 91. C73 | #1762 | semidirect |
| 95. C4×C4⋊C4 | D73 | semidirect |
| 128. C4⋊C4 | C4×D73 | semidirect |