Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
480 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 145 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×#10597390 | C2 | semidirect |
| 4. #11926752 | C2 | semidirect |
| 5. #11926747 | C2 | semidirect |
| 6. #11926567 | C2 | semidirect |
| 7. #11926554 | C2 | semidirect |
| 8. #11926553 | C2 | semidirect |
| 117. Dic19 | #137 | semidirect |
| 156. C19 | #3039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| C2×#10597390 | 2 |
| #41×Dic19 | 2 |
| #11926752 | 2 |
| #11926747 | 2 |
| #11926567 | 2 |
| #11926554 | 2 |
| #11926553 | 2 |
| C2×C19×#137 | 2 |
| #3039 | 19 |