Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 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. #11927172 | C2 | semidirect |
| 3. #11926845 | C2 | semidirect |
| 4. #11926845 | C2 | semidirect |
| 5. #11926835 | C2 | semidirect |
| 6. #11926825 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. #11926582 | C2 | semidirect |
| 11. C19×#424 | C2 | semidirect |
| 27. #10597316 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. C19×C4⋊C8 | C22 | semidirect |
| 30. C19×C4⋊C8 | C22 | semidirect |
| 35. #10597275 | C22 | semidirect |
| 36. #10597275 | C22 | semidirect |
| 37. #10597275 | C22 | semidirect |
| 38. #10597274 | C22 | semidirect |
| 39. #10597274 | C22 | semidirect |
| 40. #10597274 | C22 | semidirect |
| 46. C2×D76 | Q8 | semidirect |
| 128. #424 | D19 | semidirect |
| 159. C4⋊C8 | C2×D19 | semidirect |
| 160. C4⋊C8 | C2×D19 | semidirect |
| 165. C19 | #3081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927172 | 2 |
| #11927018 | 2 |
| #11926845 | 2 |
| #11926835 | 2 |
| #11926825 | 2 |
| #11926586 | 2 |
| #11926582 | 2 |
| #11926550 | 2 |
| C2×#10597278 | 2 |
| C19×#424 | 2 |
| #3081 | 19 |