Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
704 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 169 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×#10597321 | C2 | semidirect |
| 3. C2×#10597382 | C2 | semidirect |
| 4. #11926460 | C2 | semidirect |
| 5. #11926449 | C2 | semidirect |
| 6. #11926445 | C2 | semidirect |
| 7. #11926423 | C2 | semidirect |
| 8. C4×C4⋊Dic19 | C2 | semidirect |
| 9. C2×C4×D4×C19 | C2 | semidirect |
| 56. C42×C19 | D4 | semidirect |
| 124. C2×C4×D4 | D19 | semidirect |
| 158. C19 | #2544 | semidirect |
| 191. C42 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597386 | 2 |
| C2×#10597321 | 2 |
| C2×#10597382 | 2 |
| #11926460 | 2 |
| #11926449 | 2 |
| #11926445 | 2 |
| #11926423 | 2 |
| C4×C4⋊Dic19 | 2 |
| C2×C4×D4×C19 | 2 |
| #2544 | 19 |