Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #34036084 | C2 | semidirect |
| 5. #34035901 | C2 | semidirect |
| 6. #34035899 | C2 | semidirect |
| 7. #405×C293 | C2 | semidirect |
| 15. C2×#17989785 | C4 | semidirect |
| 16. C2×C8×D293 | C4 | semidirect |
| 18. #22627542 | C4 | semidirect |
| 19. #22627540 | C4 | semidirect |
| 106. C293 | #1757 | semidirect |
| 112. #405 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627630 | 2 |
| #34036111 | 2 |
| #34036102 | 2 |
| #34036084 | 2 |
| #34035901 | 2 |
| #34035899 | 2 |
| #405×C293 | 2 |
| #1757 | 293 |