Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
620 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 133 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×D8×D19 | C2 | semidirect |
| 2. #11927179 | C2 | semidirect |
| 3. #11926777 | C2 | semidirect |
| 4. #11926736 | C2 | semidirect |
| 5. #11926676 | C2 | semidirect |
| 6. C4×D152 | C2 | semidirect |
| 7. C8×D76 | C2 | semidirect |
| 8. C19×#493 | C2 | semidirect |
| 10. C2×D4×D19 | C22 | semidirect |
| 11. C2×D8×C19 | C22 | semidirect |
| 12. C2×D8×C19 | C22 | semidirect |
| 13. C19×#127 | C22 | semidirect |
| 15. #10597384 | C22 | semidirect |
| 17. C2×#64525 | C22 | semidirect |
| 20. C2×C8×D19 | C22 | semidirect |
| 22. C4×D76 | C22 | semidirect |
| 23. C4×C8×C19 | C22 | semidirect |
| 24. #10597289 | C22 | semidirect |
| 25. #10597278 | C22 | semidirect |
| 26. (C2×D19)⋊C8 | C22 | semidirect |
| 27. #10597275 | C22 | semidirect |
| 28. C4⋊(C19⋊C8) | C22 | semidirect |
| 54. D152 | D4 | semidirect |
| 74. D76 | D8 | semidirect |
| 75. D76 | C2×D4 | semidirect |
| 80. C8×C19 | C2×D4 | semidirect |
| 93. C2×D19 | C2×D8 | semidirect |
| 95. C4×C19 | C2×D8 | semidirect |
| 102. #493 | D19 | semidirect |
| 119. C2×D8 | C2×D19 | semidirect |
| 120. C2×D8 | C2×D19 | semidirect |
| 122. #127 | C2×D19 | semidirect |
| 133. C4×C8 | C2×D19 | semidirect |
| 134. C19 | D4×D8 | semidirect |
| 187. C8 | D4×D19 | semidirect |
| 202. C4 | D8×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D19 | 2 |
| #11927179 | 2 |
| #11926777 | 2 |
| #11926736 | 2 |
| #11926676 | 2 |
| C4×D152 | 2 |
| C8×D76 | 2 |
| C19×#493 | 2 |
| D4×D8 | 19 |