Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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. C4×Dic76 | C2 | semidirect |
| 4. #11926370 | C2 | semidirect |
| 5. #11926349 | C2 | semidirect |
| 7. C19×#346 | C2 | semidirect |
| 19. #10597257 | C4 | semidirect |
| 32. Dic76 | C2×C4 | semidirect |
| 36. C16×C19 | C2×C4 | semidirect |
| 70. #346 | D19 | semidirect |
| 87. C19 | #2175 | semidirect |
| 104. C16 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597257 | 2 |
| C4×Dic76 | 2 |
| C4×D152 | 2 |
| #11926370 | 2 |
| #11926349 | 2 |
| #11926346 | 2 |
| C19×#346 | 2 |
| #2175 | 19 |