Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
644 conjugacy classes of subgroups; only the 201 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 201 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 |
|---|---|---|
| 1. C2×#10597390 | C2 | semidirect |
| 4. #11926451 | C2 | semidirect |
| 5. #11926449 | C2 | semidirect |
| 6. #11926439 | C2 | semidirect |
| 7. #11926413 | C2 | semidirect |
| 44. C22×Dic19 | Q8 | semidirect |
| 100. C22×C19 | C4⋊Q8 | semidirect |
| 113. Dic19 | C22⋊Q8 | semidirect |
| 150. C19 | #2857 | semidirect |
| 219. C22 | #10597390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597390 | 2 |
| C2×#10597370 | 2 |
| C22×C4×Dic19 | 2 |
| #11926451 | 2 |
| #11926449 | 2 |
| #11926439 | 2 |
| #11926413 | 2 |
| #11926402 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #2857 | 19 |