Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
516 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 189 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. #11926426 | C2 | semidirect |
| 4. #11926395 | C2 | semidirect |
| 6. C42×Dic19 | C2 | semidirect |
| 7. C19×#383 | C2 | semidirect |
| 17. #10597322 | C4 | semidirect |
| 30. C42×C19 | C2×C4 | semidirect |
| 34. Dic19⋊C4 | C2×C4 | semidirect |
| 69. Dic19 | #126 | semidirect |
| 73. #383 | D19 | semidirect |
| 95. C19 | C4×#126 | semidirect |
| 111. C42 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597322 | 2 |
| #11926433 | 2 |
| #11926426 | 2 |
| #11926395 | 2 |
| #11926391 | 2 |
| C42×Dic19 | 2 |
| C19×#383 | 2 |
| C4×#126 | 19 |