Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10597372 | C2 | semidirect |
| 3. #11926869 | C2 | semidirect |
| 4. #11926863 | C2 | semidirect |
| 5. #11926858 | C2 | semidirect |
| 6. #11926586 | C2 | semidirect |
| 7. #11926550 | C2 | semidirect |
| 8. C19×#407 | C2 | semidirect |
| 22. #10597372 | C22 | semidirect |
| 24. C2×C4⋊Dic19 | C22 | semidirect |
| 25. C2×C4⋊Dic19 | C22 | semidirect |
| 27. C19×C22⋊C8 | C22 | semidirect |
| 28. C19×C22⋊C8 | C22 | semidirect |
| 29. #10597278 | C22 | semidirect |
| 30. #10597278 | C22 | semidirect |
| 31. #10597275 | C22 | semidirect |
| 32. #10597274 | C22 | semidirect |
| 126. #407 | D19 | semidirect |
| 156. C22⋊C8 | C2×D19 | semidirect |
| 157. C22⋊C8 | C2×D19 | semidirect |
| 158. C19 | #3094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| C2×#10597372 | 2 |
| #11926869 | 2 |
| #11926863 | 2 |
| #11926858 | 2 |
| #11926586 | 2 |
| #11926550 | 2 |
| C19×#407 | 2 |
| #3094 | 19 |