Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
232 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 85 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×#10597274 | C2 | semidirect |
| 3. #11926355 | C2 | direct (N × H) |
| 4. C2×C19×M32 | C2 | semidirect |
| 8. C2×Dic76 | C4 | semidirect |
| 11. #10597350 | C4 | semidirect |
| 13. C2×D152 | C4 | semidirect |
| 16. C19×M32 | C22 | semidirect |
| 19. #10597274 | C22 | semidirect |
| 39. Dic76 | C2×C4 | semidirect |
| 41. D152 | C2×C4 | semidirect |
| 82. C2×M32 | D19 | semidirect |
| 87. C2×C19 | #360 | semidirect |
| 101. M32 | C2×D19 | semidirect |
| 105. C19 | C2×#360 | semidirect |
| 169. C2 | #11926355 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597350 | 2 |
| C2×#10597274 | 2 |
| #11926355 | 2 |
| C2×C19×M32 | 2 |
| C2×#360 | 19 |