Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
| 4. #34036434 | C2 | semidirect |
| 7. #34036336 | C2 | semidirect |
| 8. C8×Dic586 | C2 | semidirect |
| 9. #34036221 | C2 | semidirect |
| 11. #487×C293 | C2 | semidirect |
| 115. C293 | #3364 | semidirect |
| 120. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036854 | 2 |
| #34036853 | 2 |
| #34036485 | 2 |
| #34036434 | 2 |
| #34036406 | 2 |
| #34036354 | 2 |
| #34036336 | 2 |
| C8×Dic586 | 2 |
| #34036221 | 2 |
| C4×#17989791 | 2 |
| #487×C293 | 2 |
| #3364 | 293 |