Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
380 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 4. #34036413 | C2 | semidirect |
| 5. #34036338 | C2 | semidirect |
| 8. #34036235 | C2 | semidirect |
| 9. #34036233 | C2 | semidirect |
| 127. C293 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036681 | 2 |
| C2×#22627589 | 2 |
| #34036459 | 2 |
| #34036413 | 2 |
| #34036338 | 2 |
| #34036287 | 2 |
| #34036284 | 2 |
| #34036235 | 2 |
| #34036233 | 2 |
| #34036183 | 2 |
| #483×C293 | 2 |
| #3113 | 293 |