Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. C2×#10597285 | C2 | semidirect |
| 2. C2×D304 | C2 | semidirect |
| 3. C2×#10597283 | C2 | semidirect |
| 4. #11926929 | C2 | semidirect |
| 5. #11926919 | C2 | semidirect |
| 6. #11926319 | C2 | semidirect |
| 7. C2×C19×SD32 | C2 | semidirect |
| 42. C16×C19 | D4 | semidirect |
| 43. C19⋊C16 | D4 | semidirect |
| 75. C2×SD32 | D19 | semidirect |
| 101. C19 | #2250 | semidirect |
| 122. C16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597285 | 2 |
| C2×D304 | 2 |
| C2×#10597283 | 2 |
| #11926929 | 2 |
| #11926919 | 2 |
| #11926319 | 2 |
| C2×C19×SD32 | 2 |
| #2250 | 19 |