Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 129 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×Q8×Dic19 | C2 | semidirect |
| 3. #11926863 | C2 | semidirect |
| 4. #11926860 | C2 | semidirect |
| 5. #11926827 | C2 | semidirect |
| 6. #11926742 | C2 | semidirect |
| 7. #11926683 | C2 | semidirect |
| 8. SD16×Dic19 | C2 | semidirect |
| 9. #11926629 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#448 | C2 | semidirect |
| 87. Q8×C19 | #41 | semidirect |
| 104. C2×Dic19 | SD16 | semidirect |
| 142. #448 | D19 | semidirect |
| 183. C19 | #3103 | semidirect |
| 229. Q8 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| C2×Q8×Dic19 | 2 |
| #11926863 | 2 |
| #11926860 | 2 |
| #11926827 | 2 |
| #11926742 | 2 |
| #11926683 | 2 |
| SD16×Dic19 | 2 |
| #11926629 | 2 |
| #11926594 | 2 |
| C19×#448 | 2 |
| #3103 | 19 |