Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
380 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C2×#22627548 | C2 | semidirect |
| 5. #34035892 | C2 | semidirect |
| 6. #34035891 | C2 | semidirect |
| 7. C2×#103×C293 | C2 | semidirect |
| 14. #22627600 | C4 | semidirect |
| 113. C2×D293 | #103 | semidirect |
| 131. C293 | #1892 | semidirect |
| 136. C2×#103 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D293 | 2 |
| C2×#22627600 | 2 |
| C2×#22627548 | 2 |
| #34035986 | 2 |
| #34035892 | 2 |
| #34035891 | 2 |
| C2×#103×C293 | 2 |
| #1892 | 293 |