Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
432 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 117 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×C8×D19 | C2 | semidirect |
| 3. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 4. C2×(C2×D19)⋊C8 | C2 | semidirect |
| 5. #11926298 | C2 | semidirect |
| 6. #11926298 | C2 | semidirect |
| 7. C2×C19×C22⋊C8 | C2 | semidirect |
| 39. C2×C22⋊D19 | C8 | semidirect |
| 54. C2×C8×C19 | D4 | semidirect |
| 65. C2×C19⋊C8 | D4 | semidirect |
| 73. C23×C19 | C2×C8 | semidirect |
| 104. C2×Dic19 | C2×C8 | semidirect |
| 134. C2×D19 | C22⋊C8 | semidirect |
| 147. C2×C22⋊C8 | D19 | semidirect |
| 178. C19 | #1869 | semidirect |
| 213. C2×C8 | C22⋊D19 | semidirect |
| 232. C23 | C8×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D19 | 2 |
| C2×C4×C22⋊D19 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C2×(C2×D19)⋊C8 | 2 |
| #11926298 | 2 |
| C2×C19×C22⋊C8 | 2 |
| #1869 | 19 |