Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. C2×#10597354 | C2 | semidirect |
| 2. #11927190 | C2 | semidirect |
| 3. #11926928 | C2 | semidirect |
| 4. #11926790 | C2 | semidirect |
| 5. #11926760 | C2 | semidirect |
| 6. #11926708 | C2 | semidirect |
| 7. #11926680 | C2 | semidirect |
| 8. C4×D152 | C2 | semidirect |
| 9. C19×#436 | C2 | semidirect |
| 11. C22×D76 | C22 | semidirect |
| 12. C2×M16×C19 | C22 | semidirect |
| 16. #10597370 | C22 | semidirect |
| 18. C2×Dic76 | C22 | semidirect |
| 22. C2×#64516 | C22 | semidirect |
| 23. C2×#64516 | C22 | semidirect |
| 27. #10597321 | C22 | semidirect |
| 28. C4×D76 | C22 | semidirect |
| 29. C19×C4⋊C8 | C22 | semidirect |
| 30. C19×C22⋊C8 | C22 | semidirect |
| 31. C4×C8×C19 | C22 | semidirect |
| 32. #10597278 | C22 | semidirect |
| 33. #10597278 | C22 | semidirect |
| 34. #10597275 | C22 | semidirect |
| 35. #10597273 | C22 | semidirect |
| 68. D152 | D4 | semidirect |
| 127. #436 | D19 | semidirect |
| 143. C2×M16 | C2×D19 | semidirect |
| 154. C4⋊C8 | C2×D19 | semidirect |
| 158. C22⋊C8 | C2×D19 | semidirect |
| 159. C4×C8 | C2×D19 | semidirect |
| 160. C19 | #3273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| #11927190 | 2 |
| #11926928 | 2 |
| #11926790 | 2 |
| #11926760 | 2 |
| #11926708 | 2 |
| #11926680 | 2 |
| C4×D152 | 2 |
| C19×#436 | 2 |
| #3273 | 19 |