Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
256 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 19. #10597272 | C4 | semidirect |
| 63. C8×C19 | C4⋊C4 | semidirect |
| 64. C19⋊C8 | C4⋊C4 | semidirect |
| 106. C19 | #1847 | semidirect |
| 149. C8 | Dic19⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597275 | 2 |
| C2×#10597264 | 2 |
| C2×#10597265 | 2 |
| C2×#10597272 | 2 |
| #11926413 | 2 |
| #11926409 | 2 |
| C2×C19×#106 | 2 |
| #1847 | 19 |