Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 572 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 |
|---|---|---|
| 1. C2×#10597364 | C2 | semidirect |
| 2. C2×#10597360 | C2 | semidirect |
| 3. #11927095 | C2 | semidirect |
| 4. #124×D19 | C2 | semidirect |
| 5. #11926936 | C2 | semidirect |
| 6. #11926934 | C2 | semidirect |
| 7. #11926933 | C2 | semidirect |
| 8. #11926929 | C2 | semidirect |
| 9. #11926925 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#497 | C2 | semidirect |
| 15. C2×Q16×C19 | C22 | semidirect |
| 17. C19×C4⋊Q8 | C22 | semidirect |
| 20. #10597393 | C22 | semidirect |
| 21. C2×#64528 | C22 | semidirect |
| 23. C2×#64527 | C22 | semidirect |
| 29. C2×#64516 | C22 | semidirect |
| 36. #10597320 | C22 | semidirect |
| 38. C19×#97 | C22 | semidirect |
| 39. C8×Dic19 | C22 | semidirect |
| 40. #10597260 | C22 | semidirect |
| 79. #64515 | D4 | semidirect |
| 134. #497 | D19 | semidirect |
| 152. C2×Q16 | C2×D19 | semidirect |
| 160. C4⋊Q8 | C2×D19 | semidirect |
| 173. #97 | C2×D19 | semidirect |
| 175. C19 | #3153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597364 | 2 |
| C2×#10597360 | 2 |
| #11927095 | 2 |
| #124×D19 | 2 |
| #11926936 | 2 |
| #11926934 | 2 |
| #11926933 | 2 |
| #11926929 | 2 |
| #11926925 | 2 |
| #11926496 | 2 |
| C19×#497 | 2 |
| #3153 | 19 |