Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 173 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. #11926444 | C2 | semidirect |
| 3. #11926436 | C2 | semidirect |
| 4. #11926427 | C2 | semidirect |
| 5. #11926422 | C2 | semidirect |
| 6. #11926420 | C2 | semidirect |
| 7. #11926418 | C2 | semidirect |
| 8. #11926404 | C2 | semidirect |
| 9. C19×#381 | C2 | semidirect |
| 17. #10597376 | C4 | semidirect |
| 35. C22×C4×C19 | C2×C4 | semidirect |
| 42. C2×C22⋊D19 | C2×C4 | semidirect |
| 57. (C2×D19)⋊C4 | C2×C4 | semidirect |
| 59. C4⋊Dic19 | C2×C4 | semidirect |
| 130. #381 | D19 | semidirect |
| 161. C19 | #2377 | semidirect |
| 176. C22×C4 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926444 | 2 |
| #11926436 | 2 |
| #11926427 | 2 |
| #11926422 | 2 |
| #11926420 | 2 |
| #11926418 | 2 |
| #11926404 | 2 |
| C19×#381 | 2 |
| #2377 | 19 |