Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 13. #10597390 | C4 | semidirect |
| 100. Dic19 | #103 | semidirect |
| 129. C19 | #1956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597390 | 2 |
| C2×#10597273 | 2 |
| C2×#10597292 | 2 |
| C2×#10597267 | 2 |
| C2×C8×Dic19 | 2 |
| #11926413 | 2 |
| C2×C19×#103 | 2 |
| #1956 | 19 |