Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
440 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 131 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. #11927099 | C2 | semidirect |
| 3. #11926847 | C2 | semidirect |
| 4. #11926846 | C2 | semidirect |
| 5. #11926835 | C2 | semidirect |
| 6. #11926834 | C2 | semidirect |
| 7. #11926821 | C2 | semidirect |
| 8. #11926585 | C2 | semidirect |
| 9. #11926566 | C2 | semidirect |
| 11. C19×#474 | C2 | semidirect |
| 14. C19×C4⋊Q8 | C22 | semidirect |
| 25. #10597336 | C22 | semidirect |
| 31. #10597315 | C22 | semidirect |
| 32. C19×#107 | C22 | semidirect |
| 33. C19×C4⋊C8 | C22 | semidirect |
| 37. #10597274 | C22 | semidirect |
| 38. Dic19⋊C8 | C22 | semidirect |
| 40. #10597265 | C22 | semidirect |
| 41. #10597264 | C22 | semidirect |
| 42. C4⋊(C19⋊C8) | C22 | semidirect |
| 50. D4×D19 | Q8 | semidirect |
| 146. #474 | D19 | semidirect |
| 160. C4⋊Q8 | C2×D19 | semidirect |
| 177. #107 | C2×D19 | semidirect |
| 182. C4⋊C8 | C2×D19 | semidirect |
| 187. C19 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| C4×D4×D19 | 2 |
| #11926847 | 2 |
| #11926846 | 2 |
| #11926835 | 2 |
| #11926834 | 2 |
| #11926821 | 2 |
| #11926585 | 2 |
| #11926566 | 2 |
| #11926547 | 2 |
| C19×#474 | 2 |
| #3077 | 19 |