Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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. #11926483 | C2 | semidirect |
| 3. #11926461 | C2 | semidirect |
| 4. #11926434 | C2 | semidirect |
| 5. #11926423 | C2 | semidirect |
| 6. #11926423 | C2 | semidirect |
| 7. C4×C22⋊Dic19 | C2 | semidirect |
| 8. C22×C4⋊C4×C19 | C2 | semidirect |
| 101. C22×C4⋊C4 | D19 | semidirect |
| 132. C19 | #2591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926483 | 2 |
| #11926461 | 2 |
| #11926434 | 2 |
| #11926423 | 2 |
| C4×C22⋊Dic19 | 2 |
| C22×C4⋊C4×C19 | 2 |
| #2591 | 19 |