Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
656 conjugacy classes of subgroups; only the 341 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 341 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 |
|---|---|---|
| 3. #11926496 | C2 | direct (N × H) |
| 4. C2×#10597260 | C2 | semidirect |
| 5. C2×C8×Dic19 | C2 | semidirect |
| 6. C2×C19×#97 | C2 | semidirect |
| 14. C2×#64515 | C4 | semidirect |
| 18. C19×#97 | C22 | semidirect |
| 19. C8×Dic19 | C22 | semidirect |
| 20. #10597260 | C22 | semidirect |
| 31. C2×C8×C19 | C2×C4 | semidirect |
| 38. C2×C19⋊C8 | C2×C4 | semidirect |
| 40. #64515 | C2×C4 | semidirect |
| 51. C2×Dic19 | M16 | semidirect |
| 57. C8×C19 | C22×C4 | semidirect |
| 58. C19⋊C8 | C22×C4 | semidirect |
| 70. Dic19 | C2×M16 | semidirect |
| 75. C2×#97 | D19 | semidirect |
| 77. C2×C19 | C4×M16 | semidirect |
| 93. #97 | C2×D19 | semidirect |
| 95. C19 | C2×C4×M16 | semidirect |
| 109. C2×C8 | C4×D19 | semidirect |
| 133. C8 | C2×C4×D19 | semidirect |
| 146. C2 | #11926496 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64515 | 2 |
| C2×C42×D19 | 2 |
| #11926496 | 2 |
| C2×#10597260 | 2 |
| C2×C8×Dic19 | 2 |
| C2×C19×#97 | 2 |
| C2×C4×M16 | 19 |