Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
618 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 105 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×#10597282 | C2 | semidirect |
| 3. C4×C22⋊Dic19 | C2 | semidirect |
| 4. C19×#407 | C2 | semidirect |
| 10. C2×#64541 | C4 | semidirect |
| 12. C22×D76 | C4 | semidirect |
| 14. C22×Dic38 | C4 | semidirect |
| 15. C2×M16×C19 | C22 | semidirect |
| 17. C2×C4×Dic19 | C22 | semidirect |
| 84. D76 | C22⋊C4 | semidirect |
| 89. Dic38 | C22⋊C4 | semidirect |
| 100. C22×C19 | #104 | semidirect |
| 115. #407 | D19 | semidirect |
| 134. C2×M16 | C2×D19 | semidirect |
| 141. C19 | #1789 | semidirect |
| 223. C22 | #10597282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597282 | 2 |
| C4×C22⋊Dic19 | 2 |
| C19×#407 | 2 |
| #1789 | 19 |