Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
212 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 23. #22627543 | C4 | semidirect |
| 24. #22627542 | C4 | semidirect |
| 25. #22627542 | C4 | semidirect |
| 26. #101×C293 | C4 | semidirect |
| 105. C293 | #1930 | semidirect |
| 130. #101 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037140 | 2 |
| #34037122 | 2 |
| C2×#22627687 | 2 |
| #34037095 | 2 |
| #34037008 | 2 |
| #34037004 | 2 |
| #101×D293 | 2 |
| #1930 | 293 |