Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10597370 | C2 | semidirect |
| 3. #11926875 | C2 | semidirect |
| 4. #11926863 | C2 | semidirect |
| 5. #11926773 | C2 | semidirect |
| 6. #11926697 | C2 | semidirect |
| 7. #11926685 | C2 | semidirect |
| 8. C2×C19×C22⋊C8 | C2 | semidirect |
| 12. C22×Dic38 | C22 | semidirect |
| 13. C22×C8×C19 | C22 | semidirect |
| 21. C2×C4⋊Dic19 | C22 | semidirect |
| 25. #10597370 | C22 | semidirect |
| 27. C2×#64516 | C22 | semidirect |
| 29. C19×C22⋊C8 | C22 | semidirect |
| 30. #10597278 | C22 | semidirect |
| 31. #10597274 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 69. C23×C19 | SD16 | semidirect |
| 130. C2×C22⋊C8 | D19 | semidirect |
| 143. C22×C8 | C2×D19 | semidirect |
| 161. C22⋊C8 | C2×D19 | semidirect |
| 162. C19 | #3187 | semidirect |
| 203. C23 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597370 | 2 |
| C2×#10597376 | 2 |
| #11926875 | 2 |
| #11926863 | 2 |
| #11926773 | 2 |
| #11926697 | 2 |
| #11926685 | 2 |
| C2×C19×C22⋊C8 | 2 |
| #3187 | 19 |