Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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. C2×C4×Dic586 | C2 | semidirect |
| 4. #34036035 | C2 | semidirect |
| 6. #34036021 | C2 | semidirect |
| 7. #34036003 | C2 | semidirect |
| 8. #34035999 | C2 | semidirect |
| 9. #376×C293 | C2 | semidirect |
| 13. #22627612 | C4 | semidirect |
| 33. C2×Dic586 | C2×C4 | semidirect |
| 48. #17989779 | C2×C4 | semidirect |
| 56. C42×C293 | C2×C4 | semidirect |
| 111. C293 | #2326 | semidirect |
| 121. #376 | D293 | semidirect |
| 168. C42 | C4×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627612 | 2 |
| C2×C4×Dic586 | 2 |
| C2×C4×D1172 | 2 |
| #34036035 | 2 |
| #34036031 | 2 |
| #34036021 | 2 |
| #34036003 | 2 |
| #34035999 | 2 |
| #376×C293 | 2 |
| #2326 | 293 |