Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10597334 | C2 | semidirect |
| 3. #11926838 | C2 | semidirect |
| 4. #11926833 | C2 | semidirect |
| 5. #11926828 | C2 | semidirect |
| 6. #11926823 | C2 | semidirect |
| 7. #11926587 | C2 | semidirect |
| 8. #11926567 | C2 | semidirect |
| 11. C19×#428 | C2 | semidirect |
| 50. #64541 | Q8 | semidirect |
| 104. D76 | C2×Q8 | semidirect |
| 111. Dic38 | C2×Q8 | semidirect |
| 141. #428 | D19 | semidirect |
| 181. C19 | #3079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597334 | 2 |
| #11927012 | 2 |
| #11926838 | 2 |
| #11926833 | 2 |
| #11926828 | 2 |
| #11926823 | 2 |
| #11926587 | 2 |
| #11926567 | 2 |
| #11926546 | 2 |
| #11926543 | 2 |
| C19×#428 | 2 |
| #3079 | 19 |