Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11926894 | C2 | semidirect |
| 3. #11926872 | C2 | semidirect |
| 4. #11926829 | C2 | semidirect |
| 5. #11926775 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 7. #11926683 | C2 | semidirect |
| 8. C4×#64527 | C2 | semidirect |
| 9. D4×C19⋊C8 | C2 | semidirect |
| 10. C2×#10597292 | C2 | semidirect |
| 11. D4×Q8×C19 | C2 | semidirect |
| 83. Q8×C19 | #41 | semidirect |
| 84. D4×C19 | SD16 | semidirect |
| 124. D4×Q8 | D19 | semidirect |
| 169. C19 | #3298 | semidirect |
| 213. Q8 | #64543 | semidirect |
| 217. D4 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927198 | 2 |
| #11926894 | 2 |
| #11926872 | 2 |
| #11926829 | 2 |
| #11926775 | 2 |
| #11926746 | 2 |
| #11926683 | 2 |
| C4×#64527 | 2 |
| D4×C19⋊C8 | 2 |
| C2×#10597292 | 2 |
| D4×Q8×C19 | 2 |
| #3298 | 19 |