Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 1. #34036854 | C2 | semidirect |
| 3. #34036478 | C2 | semidirect |
| 4. #34036412 | C2 | semidirect |
| 5. #34036411 | C2 | semidirect |
| 8. C8×Dic586 | C2 | semidirect |
| 11. #487×C293 | C2 | semidirect |
| 78. Dic586 | SD16 | semidirect |
| 118. C293 | #3359 | semidirect |
| 123. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036854 | 2 |
| #34036794 | 2 |
| #34036478 | 2 |
| #34036412 | 2 |
| #34036411 | 2 |
| #34036333 | 2 |
| #34036331 | 2 |
| C8×Dic586 | 2 |
| C4×#17989791 | 2 |
| #34036214 | 2 |
| #487×C293 | 2 |
| #3359 | 293 |