Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10597378 | C2 | semidirect |
| 2. C2×#10597350 | C2 | semidirect |
| 3. #11927111 | C2 | semidirect |
| 4. #11926932 | C2 | semidirect |
| 5. #11926927 | C2 | semidirect |
| 6. #11926919 | C2 | semidirect |
| 7. #11926499 | C2 | semidirect |
| 8. C22×D8×C19 | C2 | semidirect |
| 16. #10597386 | C22 | semidirect |
| 18. #10597382 | C22 | semidirect |
| 19. C2×#64526 | C22 | semidirect |
| 21. C2×#64525 | C22 | semidirect |
| 24. C2×Dic76 | C22 | semidirect |
| 26. C2×D152 | C22 | semidirect |
| 27. C2×#64516 | C22 | semidirect |
| 28. #10597272 | C22 | semidirect |
| 29. C8×Dic19 | C22 | semidirect |
| 45. C2×C8×C19 | D4 | semidirect |
| 54. #64520 | D4 | semidirect |
| 99. C22×D8 | D19 | semidirect |
| 131. C19 | #3155 | semidirect |
| 154. C2×C8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597378 | 2 |
| C2×#10597350 | 2 |
| #11927111 | 2 |
| #11926932 | 2 |
| #11926927 | 2 |
| #11926919 | 2 |
| #11926499 | 2 |
| C22×D8×C19 | 2 |
| #3155 | 19 |