Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11926857 | C2 | semidirect |
| 3. #11926839 | C2 | semidirect |
| 4. #11926744 | C2 | semidirect |
| 5. #11926683 | C2 | semidirect |
| 6. #11926642 | C2 | semidirect |
| 7. #11926601 | C2 | semidirect |
| 8. C2×C4×Q8×C19 | C2 | semidirect |
| 68. Q8×C19 | #41 | semidirect |
| 108. C2×C4×Q8 | D19 | semidirect |
| 144. C19 | #3112 | semidirect |
| 181. Q8 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926857 | 2 |
| #11926839 | 2 |
| #11926744 | 2 |
| #11926683 | 2 |
| #11926642 | 2 |
| #11926601 | 2 |
| C2×C4×Q8×C19 | 2 |
| #3112 | 19 |