Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
608 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 197 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×D4×Dic19 | C2 | semidirect |
| 3. C2×#10597339 | C2 | semidirect |
| 4. #11926653 | C2 | direct (N × H) |
| 5. C2×#10597265 | C2 | semidirect |
| 6. C2×#10597278 | C2 | semidirect |
| 7. C2×#10597272 | C2 | semidirect |
| 8. C2×C19×#102 | C2 | semidirect |
| 17. D4×Dic19 | C22 | semidirect |
| 18. C2×#64525 | C4 | semidirect |
| 25. #10597339 | C22 | semidirect |
| 26. C19×#102 | C22 | semidirect |
| 27. #10597278 | C22 | semidirect |
| 28. #10597272 | C22 | semidirect |
| 29. #10597265 | C22 | semidirect |
| 34. C2×D4×C19 | C2×C4 | semidirect |
| 45. C2×D76 | C2×C4 | semidirect |
| 54. #64525 | C2×C4 | semidirect |
| 60. C2×C19⋊C8 | C2×C4 | semidirect |
| 73. D4×C19 | C22×C4 | semidirect |
| 89. D76 | C22×C4 | semidirect |
| 92. C19⋊C8 | C22×C4 | semidirect |
| 119. C2×#102 | D19 | semidirect |
| 122. C2×C19 | #442 | semidirect |
| 146. #102 | C2×D19 | semidirect |
| 148. C19 | C2×#442 | semidirect |
| 157. C2×D4 | C4×D19 | semidirect |
| 195. D4 | C2×C4×D19 | semidirect |
| 233. C2 | #11926653 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64525 | 2 |
| C2×D4×Dic19 | 2 |
| C2×#10597339 | 2 |
| #11926653 | 2 |
| C2×#10597265 | 2 |
| C2×#10597278 | 2 |
| C2×#10597272 | 2 |
| C2×C19×#102 | 2 |
| C2×#442 | 19 |