Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. #34036182 | C2 | semidirect |
| 3. #34035874 | C2 | semidirect |
| 4. #34035872 | C2 | semidirect |
| 5. #432×C293 | C2 | semidirect |
| 80. C293 | #1553 | semidirect |
| 83. #432 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036679 | 2 |
| #34036182 | 2 |
| #34035874 | 2 |
| #34035872 | 2 |
| #432×C293 | 2 |
| #1553 | 293 |