Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
832 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 832 conjugacy classes of subgroups — too many to draw. Only its 209 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×C4×C22⋊D19 | C2 | semidirect |
| 3. C2×(C22⋊D19)⋊C4 | C2 | semidirect |
| 4. #11926444 | C2 | semidirect |
| 5. #11926444 | C2 | semidirect |
| 6. #11926424 | C2 | semidirect |
| 7. #11926422 | C2 | semidirect |
| 8. #11926395 | C2 | semidirect |
| 9. C19×#386 | C2 | semidirect |
| 21. #10597386 | C4 | semidirect |
| 39. C2×D4×C19 | C2×C4 | semidirect |
| 49. C2×C22⋊D19 | C2×C4 | semidirect |
| 50. C2×C22⋊D19 | C2×C4 | semidirect |
| 58. C2×D76 | C2×C4 | semidirect |
| 70. Dic19⋊C4 | D4 | semidirect |
| 73. C4×Dic19 | C2×C4 | semidirect |
| 145. Dic19 | C4×D4 | semidirect |
| 153. #386 | D19 | semidirect |
| 187. C19 | #2366 | semidirect |
| 202. C2×D4 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597386 | 2 |
| C2×C4×C22⋊D19 | 2 |
| C2×(C22⋊D19)⋊C4 | 2 |
| #11926444 | 2 |
| #11926424 | 2 |
| #11926422 | 2 |
| #11926395 | 2 |
| C19×#386 | 2 |
| #2366 | 19 |