Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 109 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×#10597267 | C2 | semidirect |
| 4. C2×C8×Dic19 | C2 | semidirect |
| 5. #11926449 | C2 | semidirect |
| 7. C2×C19×#106 | C2 | semidirect |
| 18. C2×#64516 | C4 | semidirect |
| 77. C2×Dic19 | SD16 | semidirect |
| 86. C8×C19 | C22⋊C4 | semidirect |
| 108. C2×#106 | D19 | semidirect |
| 136. C19 | #1968 | semidirect |
| 200. C8 | (C2×D19)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64516 | 2 |
| C2×#10597267 | 2 |
| C2×#10597266 | 2 |
| C2×C8×Dic19 | 2 |
| #11926449 | 2 |
| #11926445 | 2 |
| C2×C19×#106 | 2 |
| #1968 | 19 |