Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 105 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. #11926568 | C2 | semidirect |
| 2. C2×#10597294 | C2 | semidirect |
| 3. C42×Dic19 | C2 | semidirect |
| 6. C19×C4⋊Q8 | C4 | semidirect |
| 7. C19×#127 | C4 | semidirect |
| 8. C19×#124 | C4 | semidirect |
| 34. C4×Dic19 | D4 | semidirect |
| 64. C4×C19 | #104 | semidirect |
| 79. C4⋊Q8 | Dic19 | semidirect |
| 80. #127 | Dic19 | semidirect |
| 81. #124 | Dic19 | semidirect |
| 89. C19 | #1962 | semidirect |
| 137. C4 | #10597294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926568 | 2 |
| C2×#10597294 | 2 |
| C42×Dic19 | 2 |
| C19×#532 | 2 |
| #1962 | 19 |