Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
286 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 55 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. #99×D19 | C2 | semidirect |
| 3. #11926338 | C2 | semidirect |
| 4. #11926337 | C2 | semidirect |
| 5. C19×#353 | C2 | semidirect |
| 6. C2×#64543 | C4 | semidirect |
| 9. #10597386 | C4 | semidirect |
| 14. #10597321 | C4 | semidirect |
| 15. #10597318 | C4 | semidirect |
| 21. C2×D4×C19 | C2×C4 | semidirect |
| 32. C2×Dic38 | C2×C4 | semidirect |
| 34. C42×C19 | C2×C4 | semidirect |
| 41. C4×Dic19 | C2×C4 | semidirect |
| 90. #353 | D19 | semidirect |
| 110. C19 | #2127 | semidirect |
| 120. C2×D4 | C4×D19 | semidirect |
| 133. C42 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927107 | 2 |
| #99×D19 | 2 |
| #11926338 | 2 |
| #11926337 | 2 |
| C19×#353 | 2 |
| #2127 | 19 |