Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10597358 | C2 | semidirect |
| 2. C22×Dic76 | C2 | semidirect |
| 3. #11927200 | C2 | semidirect |
| 4. #11926927 | C2 | semidirect |
| 5. #11926786 | C2 | semidirect |
| 6. #11926765 | C2 | semidirect |
| 7. #11926707 | C2 | semidirect |
| 8. #11926682 | C2 | semidirect |
| 9. #11926638 | C2 | semidirect |
| 10. C8×C22⋊D19 | C2 | semidirect |
| 11. C19×#466 | C2 | semidirect |
| 78. Dic76 | D4 | semidirect |
| 117. C22×C19 | #135 | semidirect |
| 136. #466 | D19 | semidirect |
| 177. C19 | #3285 | semidirect |
| 256. C22 | #10597358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597358 | 2 |
| C22×Dic76 | 2 |
| #11927200 | 2 |
| #11926927 | 2 |
| #11926786 | 2 |
| #11926765 | 2 |
| #11926707 | 2 |
| #11926682 | 2 |
| #11926638 | 2 |
| C8×C22⋊D19 | 2 |
| C19×#466 | 2 |
| #3285 | 19 |