Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 165 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. #11926951 | C2 | direct (N × H) |
| 38. C2×C8×C19 | Q8 | semidirect |
| 53. C2×C19⋊C8 | Q8 | semidirect |
| 73. C8×C19 | C2×Q8 | semidirect |
| 74. C19⋊C8 | C2×Q8 | semidirect |
| 97. C2×C19 | #501 | semidirect |
| 121. C19 | C2×#501 | semidirect |
| 133. C2×C8 | Dic38 | semidirect |
| 167. C8 | C2×Dic38 | semidirect |
| 181. C2 | #11926951 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597334 | 2 |
| C2×#10597336 | 2 |
| #11926951 | 2 |
| C2×#10597275 | 2 |
| C2×#10597264 | 2 |
| C2×#10597265 | 2 |
| C2×#10597272 | 2 |
| C2×C19×#106 | 2 |
| C2×#501 | 19 |