Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 1. C2×#10597388 | C2 | semidirect |
| 3. #11927022 | C2 | semidirect |
| 4. #11926764 | C2 | semidirect |
| 5. #11926742 | C2 | semidirect |
| 6. #11926570 | C2 | semidirect |
| 7. #11926549 | C2 | semidirect |
| 8. #11926541 | C2 | semidirect |
| 9. C22×SD16×C19 | C2 | semidirect |
| 18. Q8×Dic19 | C22 | semidirect |
| 19. C2×#64528 | C22 | semidirect |
| 21. C2×#64527 | C22 | semidirect |
| 30. #10597278 | C22 | semidirect |
| 31. #10597273 | C22 | semidirect |
| 32. Dic19⋊C8 | C22 | semidirect |
| 36. C2×Q8×C19 | D4 | semidirect |
| 113. C22×SD16 | D19 | semidirect |
| 149. C19 | #3043 | semidirect |
| 156. C2×Q8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| #11927111 | 2 |
| #11927022 | 2 |
| #11926764 | 2 |
| #11926742 | 2 |
| #11926570 | 2 |
| #11926549 | 2 |
| #11926541 | 2 |
| C22×SD16×C19 | 2 |
| #3043 | 19 |