Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
402 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 87 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×#10597278 | C2 | semidirect |
| 3. C2×#10597289 | C2 | semidirect |
| 4. C2×#10597266 | C2 | semidirect |
| 5. #11926440 | C2 | semidirect |
| 6. #11926298 | C2 | semidirect |
| 7. C2×C19×#102 | C2 | semidirect |
| 56. C4⋊Dic19 | D4 | semidirect |
| 142. C2×#102 | D19 | semidirect |
| 171. C19 | #2041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597386 | 2 |
| C2×#10597278 | 2 |
| C2×#10597289 | 2 |
| C2×#10597266 | 2 |
| #11926440 | 2 |
| #11926298 | 2 |
| C2×C19×#102 | 2 |
| #2041 | 19 |