Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
836 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 836 conjugacy classes of subgroups — too many to draw. Only its 173 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. C2×#10597393 | C2 | semidirect |
| 3. C2×#10597392 | C2 | semidirect |
| 4. #11926461 | C2 | semidirect |
| 5. #11926451 | C2 | semidirect |
| 6. #11926446 | C2 | semidirect |
| 7. #11926415 | C2 | semidirect |
| 8. C4×(C2×D19)⋊C4 | C2 | semidirect |
| 9. C2×C19×C4⋊Q8 | C2 | semidirect |
| 94. C2×C4×C19 | #41 | semidirect |
| 131. C2×C4⋊Q8 | D19 | semidirect |
| 169. C19 | #2432 | semidirect |
| 241. C2×C4 | #64545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64545 | 2 |
| C2×#10597393 | 2 |
| C2×#10597392 | 2 |
| #11926461 | 2 |
| #11926451 | 2 |
| #11926446 | 2 |
| #11926415 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| C2×C19×C4⋊Q8 | 2 |
| #2432 | 19 |