Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11926582 | C2 | semidirect |
| 3. #11926346 | C2 | semidirect |
| 4. C2×C19×M32 | C2 | semidirect |
| 10. C2×D152 | C4 | semidirect |
| 13. C2×C16×C19 | C22 | semidirect |
| 14. #10597275 | C22 | semidirect |
| 60. C2×M32 | D19 | semidirect |
| 75. C2×C16 | C2×D19 | semidirect |
| 78. C19 | #2140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D152 | 2 |
| #11926582 | 2 |
| #11926346 | 2 |
| C2×C19×M32 | 2 |
| #2140 | 19 |