Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4×Dic38 | C2 | semidirect |
| 3. #11926863 | C2 | semidirect |
| 4. #11926830 | C2 | semidirect |
| 5. #11926745 | C2 | semidirect |
| 6. #11926685 | C2 | semidirect |
| 7. C4×#64516 | C2 | semidirect |
| 8. C19×#431 | C2 | semidirect |
| 68. C2×C4×C19 | SD16 | semidirect |
| 88. Dic38 | #41 | semidirect |
| 114. #431 | D19 | semidirect |
| 144. C19 | #3103 | semidirect |
| 194. C2×C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| C2×C4×Dic38 | 2 |
| #11926863 | 2 |
| #11926830 | 2 |
| #11926745 | 2 |
| #11926685 | 2 |
| C4×#64516 | 2 |
| C19×#431 | 2 |
| #3103 | 19 |