Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 2. C22×#64527 | C2 | semidirect |
| 3. #11927018 | C2 | semidirect |
| 4. #11926756 | C2 | semidirect |
| 5. #11926746 | C2 | semidirect |
| 6. #11926571 | C2 | semidirect |
| 7. #11926553 | C2 | semidirect |
| 8. #11926540 | C2 | semidirect |
| 9. C19×#536 | C2 | semidirect |
| 13. C19×C4⋊Q8 | C22 | semidirect |
| 14. C19×#124 | C22 | semidirect |
| 29. #10597292 | C22 | semidirect |
| 30. #10597292 | C22 | semidirect |
| 31. #10597289 | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 114. #536 | D19 | semidirect |
| 136. C4⋊Q8 | C2×D19 | semidirect |
| 137. #124 | C2×D19 | semidirect |
| 149. C19 | #3042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597395 | 2 |
| C22×#64527 | 2 |
| #11927018 | 2 |
| #11926756 | 2 |
| #11926746 | 2 |
| #11926571 | 2 |
| #11926553 | 2 |
| #11926540 | 2 |
| C19×#536 | 2 |
| #3042 | 19 |