Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10597393 | C2 | semidirect |
| 3. #41×Dic19 | C2 | semidirect |
| 4. #11926768 | C2 | semidirect |
| 5. #11926761 | C2 | semidirect |
| 6. #11926567 | C2 | semidirect |
| 7. #11926553 | C2 | semidirect |
| 8. #11926550 | C2 | semidirect |
| 9. C2×C19×#137 | C2 | semidirect |
| 14. C2×Q16×C19 | C22 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 21. Q8×Dic19 | C22 | semidirect |
| 24. D4×Dic19 | C22 | semidirect |
| 32. #10597292 | C22 | semidirect |
| 34. Dic19⋊C8 | C22 | semidirect |
| 121. C2×#137 | D19 | semidirect |
| 140. C2×Q16 | C2×D19 | semidirect |
| 142. C2×SD16 | C2×D19 | semidirect |
| 160. C19 | #3040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597395 | 2 |
| C2×#10597393 | 2 |
| #41×Dic19 | 2 |
| #11926768 | 2 |
| #11926761 | 2 |
| #11926567 | 2 |
| #11926553 | 2 |
| #11926550 | 2 |
| C2×C19×#137 | 2 |
| #3040 | 19 |