Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 3. #34036496 | C2 | semidirect |
| 4. #34036478 | C2 | semidirect |
| 100. C293 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036682 | 2 |
| C2×#22627622 | 2 |
| #34036496 | 2 |
| #34036478 | 2 |
| #34036139 | 2 |
| #34036138 | 2 |
| #34036137 | 2 |
| M16×Dic293 | 2 |
| #419×C293 | 2 |
| #3139 | 293 |