Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
418 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927149 | C2 | semidirect |
| 2. #11927018 | C2 | semidirect |
| 3. #11926869 | C2 | semidirect |
| 4. #11926845 | C2 | semidirect |
| 5. #11926740 | C2 | semidirect |
| 6. #11926680 | C2 | semidirect |
| 7. #11926657 | C2 | semidirect |
| 8. C4×D152 | C2 | semidirect |
| 9. C19×#433 | C2 | semidirect |
| 20. #10597320 | C22 | semidirect |
| 23. C4×D76 | C22 | semidirect |
| 24. #10597316 | C22 | semidirect |
| 25. C19×C4⋊C8 | C22 | semidirect |
| 27. C19×#97 | C22 | semidirect |
| 28. C4×C8×C19 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 32. #10597278 | C22 | semidirect |
| 33. #10597275 | C22 | semidirect |
| 34. #10597274 | C22 | semidirect |
| 112. #433 | D19 | semidirect |
| 135. C4⋊C8 | C2×D19 | semidirect |
| 141. #97 | C2×D19 | semidirect |
| 142. C4×C8 | C2×D19 | semidirect |
| 143. C19 | #3122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927149 | 2 |
| #11927018 | 2 |
| #11926869 | 2 |
| #11926845 | 2 |
| #11926740 | 2 |
| #11926680 | 2 |
| #11926657 | 2 |
| C4×D152 | 2 |
| C19×#433 | 2 |
| #3122 | 19 |