Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
292 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 95 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. C2×C8×Dic19 | C2 | semidirect |
| 5. #11926443 | C2 | semidirect |
| 6. #11926306 | C2 | semidirect |
| 7. C19×#340 | C2 | semidirect |
| 21. #10597266 | C4 | semidirect |
| 117. #340 | D19 | semidirect |
| 140. C19 | #1934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597278 | 2 |
| C2×#10597266 | 2 |
| C2×C8×Dic19 | 2 |
| #11926445 | 2 |
| #11926443 | 2 |
| #11926306 | 2 |
| C19×#340 | 2 |
| #1934 | 19 |