Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
560 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 185 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. #34036033 | C2 | semidirect |
| 3. #34036020 | C2 | semidirect |
| 4. #34036018 | C2 | semidirect |
| 6. C4×#17989779 | C2 | semidirect |
| 7. #34035976 | C2 | semidirect |
| 8. #34035975 | C2 | semidirect |
| 9. #376×C293 | C2 | semidirect |
| 13. #22627612 | C4 | semidirect |
| 35. C2×Dic586 | C2×C4 | semidirect |
| 49. #17989779 | C2×C4 | semidirect |
| 50. #17989779 | C2×C4 | semidirect |
| 59. C42×C293 | C2×C4 | semidirect |
| 119. C293 | #2372 | semidirect |
| 129. #376 | D293 | semidirect |
| 179. 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 |
| #34036033 | 2 |
| #34036020 | 2 |
| #34036018 | 2 |
| #34036007 | 2 |
| C4×#17989779 | 2 |
| #34035976 | 2 |
| #34035975 | 2 |
| #376×C293 | 2 |
| #2372 | 293 |