Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
800 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 161 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. #17989146 | C2 | semidirect |
| 2. #17988777 | C2 | semidirect |
| 3. #17988774 | C2 | semidirect |
| 4. C2×#14556506 | C2 | semidirect |
| 5. C2×H(5,𝔽2)×C73 | C2 | semidirect |
| 6. C22×C22⋊D73 | C22 | semidirect |
| 8. #14556572 | C22 | semidirect |
| 11. #14556559 | C22 | semidirect |
| 12. C2×C22⋊Dic73 | C22 | semidirect |
| 13. #14556506 | C22 | semidirect |
| 19. C23×D73 | C23 | semidirect |
| 24. C22×Dic73 | C23 | semidirect |
| 28. C22⋊Dic73 | C23 | semidirect |
| 31. C24×C73 | D4 | semidirect |
| 41. C2×D4×C73 | D4 | semidirect |
| 44. C22×C4×C73 | D4 | semidirect |
| 94. C73 | #3026 | semidirect |
| 95. C2×H(5,𝔽2) | D73 | semidirect |
| 115. C24 | C22⋊D73 | semidirect |
| 128. C2×D4 | C22⋊D73 | semidirect |
| 133. C22×C4 | C22⋊D73 | semidirect |