Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
262 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 3. C2×#10597273 | C2 | semidirect |
| 4. C2×#10597281 | C2 | semidirect |
| 6. #11926312 | C2 | semidirect |
| 7. C2×C19×#108 | C2 | semidirect |
| 105. C2×#108 | D19 | semidirect |
| 134. C19 | #2052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| #11926546 | 2 |
| C2×#10597273 | 2 |
| C2×#10597281 | 2 |
| #11926510 | 2 |
| #11926312 | 2 |
| C2×C19×#108 | 2 |
| #2052 | 19 |