Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 127 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. C4×Q8×D19 | C2 | semidirect |
| 3. #11926861 | C2 | semidirect |
| 4. #11926830 | C2 | semidirect |
| 5. #11926829 | C2 | semidirect |
| 6. #11926741 | C2 | semidirect |
| 7. #11926681 | C2 | semidirect |
| 8. #11926635 | C2 | semidirect |
| 9. SD16×Dic19 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#460 | C2 | semidirect |
| 86. Q8×C19 | #41 | semidirect |
| 109. C4×D19 | SD16 | semidirect |
| 113. Dic38 | #41 | semidirect |
| 142. #460 | D19 | semidirect |
| 183. C19 | #3103 | semidirect |
| 231. Q8 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| C4×Q8×D19 | 2 |
| #11926861 | 2 |
| #11926830 | 2 |
| #11926829 | 2 |
| #11926741 | 2 |
| #11926681 | 2 |
| #11926635 | 2 |
| SD16×Dic19 | 2 |
| #11926596 | 2 |
| C19×#460 | 2 |
| #3103 | 19 |