Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
262 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 67 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. #11926596 | C2 | semidirect |
| 3. C4×#64515 | C2 | semidirect |
| 4. #11926273 | C2 | semidirect |
| 5. D4⋊(C19⋊C8) | C2 | semidirect |
| 6. #11926271 | C2 | semidirect |
| 7. C19×D4⋊C8 | C2 | semidirect |
| 117. D4⋊C8 | D19 | semidirect |
| 143. C19 | #1484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927091 | 2 |
| #11926596 | 2 |
| C4×#64515 | 2 |
| #11926273 | 2 |
| D4⋊(C19⋊C8) | 2 |
| #11926271 | 2 |
| C19×D4⋊C8 | 2 |
| #1484 | 19 |