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×#10597315 | C2 | semidirect |
| 3. C2×#10597321 | C2 | semidirect |
| 4. C2×#10597370 | C2 | semidirect |
| 5. #11926460 | C2 | semidirect |
| 6. #11926450 | C2 | semidirect |
| 7. #11926446 | C2 | semidirect |
| 8. #11926418 | C2 | semidirect |
| 9. C4×C22⋊C4×C19 | C2 | semidirect |
| 93. C2×C4×C19 | #41 | semidirect |
| 138. C4×C22⋊C4 | D19 | semidirect |
| 169. C19 | #2432 | semidirect |
| 241. C2×C4 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597315 | 2 |
| C2×#10597321 | 2 |
| C2×#10597370 | 2 |
| #11926460 | 2 |
| #11926450 | 2 |
| #11926446 | 2 |
| #11926418 | 2 |
| C4×C22⋊C4×C19 | 2 |
| #2432 | 19 |