Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
462 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11927251 | C2 | semidirect |
| 2. #11926890 | C2 | semidirect |
| 3. #11926860 | C2 | semidirect |
| 4. #11926834 | C2 | semidirect |
| 5. #11926771 | C2 | semidirect |
| 6. #11926741 | C2 | semidirect |
| 7. #11926695 | C2 | semidirect |
| 8. C4×#64526 | C2 | semidirect |
| 9. D4×C19⋊C8 | C2 | semidirect |
| 10. C2×#10597289 | C2 | semidirect |
| 22. C2×#64526 | C22 | semidirect |
| 23. C2×C4⋊Dic19 | C22 | semidirect |
| 24. #10597370 | C22 | semidirect |
| 25. C22×C19⋊C8 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. C4×Dic38 | C22 | semidirect |
| 32. #10597289 | C22 | semidirect |
| 33. #10597289 | C22 | semidirect |
| 34. #10597289 | C22 | semidirect |
| 35. C22⋊(C19⋊C8) | C22 | semidirect |
| 36. #10597267 | C22 | semidirect |
| 37. #10597265 | C22 | semidirect |
| 38. #10597265 | C22 | semidirect |
| 39. C4⋊(C19⋊C8) | C22 | semidirect |
| 40. C4×C19⋊C8 | C22 | semidirect |
| 90. D4×C19 | SD16 | semidirect |
| 177. C19 | #3295 | semidirect |
| 230. D4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927251 | 2 |
| #11926890 | 2 |
| #11926860 | 2 |
| #11926834 | 2 |
| #11926771 | 2 |
| #11926741 | 2 |
| #11926695 | 2 |
| C4×#64526 | 2 |
| D4×C19⋊C8 | 2 |
| C2×#10597289 | 2 |
| D42×C19 | 2 |
| #3295 | 19 |