Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
576 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. #11926483 | C2 | semidirect |
| 3. #11926470 | C2 | semidirect |
| 4. #11926461 | C2 | semidirect |
| 5. #11926455 | C2 | semidirect |
| 6. #11926421 | C2 | semidirect |
| 7. C2×C19⋊#95 | C2 | semidirect |
| 8. C2×C19×C22⋊Q8 | C2 | semidirect |
| 105. C2×C22⋊Q8 | D19 | semidirect |
| 138. C19 | #2639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926483 | 2 |
| #11926470 | 2 |
| #11926461 | 2 |
| #11926455 | 2 |
| #11926421 | 2 |
| C2×C19⋊#95 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #2639 | 19 |