Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
480 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. C2×#10597315 | C2 | semidirect |
| 4. #11926755 | C2 | semidirect |
| 5. #11926750 | C2 | semidirect |
| 6. #11926554 | C2 | semidirect |
| 7. C19×#423 | C2 | semidirect |
| 88. C4×C19 | #137 | semidirect |
| 99. #423 | D19 | semidirect |
| 124. C19 | #3039 | semidirect |
| 188. C4 | #10597355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| C2×#10597315 | 2 |
| C4×#64541 | 2 |
| #11926755 | 2 |
| #11926750 | 2 |
| #11926554 | 2 |
| C19×#423 | 2 |
| #3039 | 19 |