Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 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 |
|---|---|---|
| 1. C2×#10597396 | C2 | semidirect |
| 2. #11927094 | C2 | semidirect |
| 3. #11926926 | C2 | semidirect |
| 4. #11926923 | C2 | semidirect |
| 5. #11926920 | C2 | semidirect |
| 6. #11926918 | C2 | semidirect |
| 7. #11926916 | C2 | semidirect |
| 8. C2×C4×C19⋊C8 | C2 | semidirect |
| 9. C19×#532 | C2 | semidirect |
| 57. C2×C19⋊C8 | D4 | semidirect |
| 94. C4×C19 | #135 | semidirect |
| 99. #532 | D19 | semidirect |
| 133. C19 | #3147 | semidirect |
| 196. C4 | #10597396 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597396 | 2 |
| #11927094 | 2 |
| #11926926 | 2 |
| #11926923 | 2 |
| #11926920 | 2 |
| #11926918 | 2 |
| #11926916 | 2 |
| C2×C4×C19⋊C8 | 2 |
| C19×#532 | 2 |
| #3147 | 19 |