Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 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×#10597279 | C2 | semidirect |
| 3. C2×#10597265 | C2 | semidirect |
| 6. #11926312 | C2 | semidirect |
| 7. C19×#343 | C2 | semidirect |
| 16. #10597353 | C4 | semidirect |
| 104. #343 | D19 | semidirect |
| 129. C19 | #1815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597353 | 2 |
| C2×#10597279 | 2 |
| C2×#10597265 | 2 |
| #11926546 | 2 |
| #11926543 | 2 |
| #11926312 | 2 |
| C19×#343 | 2 |
| #1815 | 19 |