Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
368 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 368 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. C2×#10597265 | C2 | semidirect |
| 3. C2×#10597289 | C2 | semidirect |
| 4. C2×(C2×D19)⋊C8 | C2 | semidirect |
| 5. #11926401 | C2 | semidirect |
| 6. #11926307 | C2 | semidirect |
| 7. C2×C19×#102 | C2 | semidirect |
| 60. C2×C19⋊C8 | D4 | semidirect |
| 138. C2×#102 | D19 | semidirect |
| 168. C19 | #2034 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597384 | 2 |
| C2×#10597265 | 2 |
| C2×#10597289 | 2 |
| C2×(C2×D19)⋊C8 | 2 |
| #11926401 | 2 |
| #11926307 | 2 |
| C2×C19×#102 | 2 |
| #2034 | 19 |