Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
296 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 97 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×#10597276 | C2 | semidirect |
| 2. #11926553 | C2 | semidirect |
| 4. C2×#10597293 | C2 | semidirect |
| 6. #11926499 | C2 | semidirect |
| 13. C2×SD16×C19 | C4 | semidirect |
| 119. C2×SD16 | Dic19 | semidirect |
| 132. C19 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597276 | 2 |
| #11926553 | 2 |
| #11926549 | 2 |
| C2×#10597293 | 2 |
| C2×#10597290 | 2 |
| #11926499 | 2 |
| C22×SD16×C19 | 2 |
| #1977 | 19 |