Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 89 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⋊(C19⋊C8) | C2 | semidirect |
| 3. #11926289 | C2 | semidirect |
| 4. #11926287 | C2 | semidirect |
| 5. C19×#431 | C2 | semidirect |
| 83. #431 | D19 | semidirect |
| 107. C19 | #1540 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| C2×C4⋊(C19⋊C8) | 2 |
| #11926289 | 2 |
| #11926287 | 2 |
| C19×#431 | 2 |
| #1540 | 19 |