Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
324 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 79 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. #34036895 | C2 | semidirect |
| 3. #34036147 | C2 | semidirect |
| 4. C2×#22627541 | C2 | semidirect |
| 5. #34035899 | C2 | semidirect |
| 6. #34035887 | C2 | semidirect |
| 7. #418×C293 | C2 | semidirect |
| 11. C2×#17989790 | C4 | semidirect |
| 12. C2×#17989787 | C4 | semidirect |
| 112. C293 | #1903 | semidirect |
| 117. #418 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627650 | 2 |
| #34036895 | 2 |
| #34036147 | 2 |
| C2×#22627541 | 2 |
| #34035899 | 2 |
| #34035887 | 2 |
| #418×C293 | 2 |
| #1903 | 293 |