Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
484 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 162 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 |
|---|---|---|
| 2. #34037078 | C2 | semidirect |
| 3. #34037075 | C2 | semidirect |
| 4. #34037073 | C2 | semidirect |
| 6. C4×C4⋊#11924078 | C2 | semidirect |
| 17. #22627583 | C4 | semidirect |
| 18. #22627582 | C4 | semidirect |
| 19. #22627581 | C4 | semidirect |
| 20. #22627581 | C4 | semidirect |
| 21. #22627580 | C4 | semidirect |
| 26. #117×C293 | C4 | semidirect |
| 121. C293 | #2314 | semidirect |
| 136. #117 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037079 | 2 |
| #34037078 | 2 |
| #34037075 | 2 |
| #34037073 | 2 |
| #34037071 | 2 |
| C4×C4⋊#11924078 | 2 |
| #117×D293 | 2 |
| #2314 | 293 |