Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×#64515 | C2 | semidirect |
| 3. C2×#10597289 | C2 | semidirect |
| 4. #11926401 | C2 | semidirect |
| 5. #11926307 | C2 | semidirect |
| 6. #11926306 | C2 | semidirect |
| 7. C2×C19×#102 | C2 | semidirect |
| 15. #10597384 | C4 | semidirect |
| 50. C2×C8×C19 | D4 | semidirect |
| 61. C2×C19⋊C8 | D4 | semidirect |
| 140. C2×#102 | D19 | semidirect |
| 171. C19 | #1895 | semidirect |
| 200. C2×C8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64515 | 2 |
| C2×#10597384 | 2 |
| C2×#10597289 | 2 |
| #11926401 | 2 |
| #11926307 | 2 |
| #11926306 | 2 |
| C2×C19×#102 | 2 |
| #1895 | 19 |