Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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×#10597321 | C2 | semidirect |
| 2. #11926926 | C2 | semidirect |
| 3. #11926901 | C2 | semidirect |
| 4. #11926766 | C2 | semidirect |
| 5. #11926759 | C2 | semidirect |
| 6. #11926699 | C2 | semidirect |
| 7. #11926694 | C2 | semidirect |
| 8. #11926682 | C2 | semidirect |
| 10. #11926597 | C2 | semidirect |
| 11. C19×#529 | C2 | semidirect |
| 15. C19×#125 | C22 | semidirect |
| 16. C19×#124 | C22 | semidirect |
| 20. C4×Q8×C19 | C22 | semidirect |
| 22. C4×D4×C19 | C22 | semidirect |
| 25. C2×#64528 | C22 | semidirect |
| 27. C2×#64526 | C22 | semidirect |
| 37. #10597267 | C22 | semidirect |
| 38. #10597267 | C22 | semidirect |
| 41. C4⋊(C19⋊C8) | C22 | semidirect |
| 42. C4×C19⋊C8 | C22 | semidirect |
| 138. #529 | D19 | semidirect |
| 162. #125 | C2×D19 | semidirect |
| 167. #124 | C2×D19 | semidirect |
| 171. C4×Q8 | C2×D19 | semidirect |
| 173. C4×D4 | C2×D19 | semidirect |
| 186. C19 | #3211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597321 | 2 |
| #11926926 | 2 |
| #11926901 | 2 |
| #11926766 | 2 |
| #11926759 | 2 |
| #11926699 | 2 |
| #11926694 | 2 |
| #11926682 | 2 |
| #11926677 | 2 |
| #11926597 | 2 |
| C19×#529 | 2 |
| #3211 | 19 |