Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #34036036 | C2 | semidirect |
| 3. #34036020 | C2 | semidirect |
| 4. #34036018 | C2 | semidirect |
| 6. #34036003 | C2 | semidirect |
| 7. #34036000 | C2 | semidirect |
| 8. #34035993 | C2 | semidirect |
| 9. #391×C293 | C2 | semidirect |
| 12. #22627613 | C4 | semidirect |
| 48. #17989779 | C2×C4 | semidirect |
| 49. #17989779 | C2×C4 | semidirect |
| 51. C4×Dic293 | C2×C4 | semidirect |
| 54. C2×Q8×C293 | C2×C4 | semidirect |
| 123. C293 | #2379 | semidirect |
| 127. #391 | D293 | semidirect |
| 159. C2×Q8 | C4×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627613 | 2 |
| #34036036 | 2 |
| #34036020 | 2 |
| #34036018 | 2 |
| #34036007 | 2 |
| #34036003 | 2 |
| #34036000 | 2 |
| #34035993 | 2 |
| #391×C293 | 2 |
| #2379 | 293 |