Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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. C2×#10597354 | C2 | semidirect |
| 2. C22×D152 | C2 | semidirect |
| 3. #11927113 | C2 | semidirect |
| 4. #11927018 | C2 | semidirect |
| 5. #11926760 | C2 | semidirect |
| 6. #11926740 | C2 | semidirect |
| 7. #11926550 | C2 | semidirect |
| 8. #11926541 | C2 | semidirect |
| 9. C19×#424 | C2 | semidirect |
| 20. C2×D152 | C22 | semidirect |
| 21. C2×#64516 | C22 | semidirect |
| 26. #10597321 | C22 | semidirect |
| 27. #10597320 | C22 | semidirect |
| 28. C4×D76 | C22 | semidirect |
| 29. C19×C4⋊C8 | C22 | semidirect |
| 30. #10597278 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 45. C2×D76 | D4 | semidirect |
| 122. #424 | D19 | semidirect |
| 150. C4⋊C8 | C2×D19 | semidirect |
| 154. C19 | #3041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C22×D152 | 2 |
| #11927113 | 2 |
| #11927018 | 2 |
| #11926760 | 2 |
| #11926740 | 2 |
| #11926550 | 2 |
| #11926541 | 2 |
| C19×#424 | 2 |
| #3041 | 19 |