Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 83 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×#10597353 | C2 | semidirect |
| 3. #11926543 | C2 | semidirect |
| 4. C2×#10597266 | C2 | semidirect |
| 5. C2×#10597280 | C2 | semidirect |
| 6. #11926308 | C2 | semidirect |
| 7. C19×#343 | C2 | semidirect |
| 16. #10597354 | C4 | semidirect |
| 122. #343 | D19 | semidirect |
| 151. C19 | #1907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C2×#10597353 | 2 |
| #11926543 | 2 |
| C2×#10597266 | 2 |
| C2×#10597280 | 2 |
| #11926308 | 2 |
| C19×#343 | 2 |
| #1907 | 19 |