Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #34036479 | C2 | semidirect |
| 4. #34036478 | C2 | semidirect |
| 5. #34036415 | C2 | semidirect |
| 6. #34036412 | C2 | semidirect |
| 8. #34036253 | C2 | semidirect |
| 78. Dic586 | SD16 | semidirect |
| 118. C293 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036854 | 2 |
| D4×Dic586 | 2 |
| #34036479 | 2 |
| #34036478 | 2 |
| #34036415 | 2 |
| #34036412 | 2 |
| #34036332 | 2 |
| #34036253 | 2 |
| SD16×Dic293 | 2 |
| C4×#17989790 | 2 |
| #461×C293 | 2 |
| #3359 | 293 |