Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
256 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 14. C19×C4⋊C8 | C4 | semidirect |
| 69. C4×C19 | #107 | semidirect |
| 98. C4⋊C8 | Dic19 | semidirect |
| 100. C19 | #1947 | semidirect |
| 155. C4 | #10597275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597275 | 2 |
| #11926414 | 2 |
| C4×C4⋊Dic19 | 2 |
| #11926307 | 2 |
| C2×C19×C4⋊C8 | 2 |
| #1947 | 19 |