Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#22627615 | C2 | semidirect |
| 3. #34036438 | C2 | semidirect |
| 4. #34036434 | C2 | semidirect |
| 5. #34036431 | C2 | semidirect |
| 6. #34036427 | C2 | semidirect |
| 7. #34036171 | C2 | semidirect |
| 8. #34036169 | C2 | semidirect |
| 9. #34036152 | C2 | semidirect |
| 135. C293 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627615 | 2 |
| #41×Dic293 | 2 |
| #34036438 | 2 |
| #34036434 | 2 |
| #34036431 | 2 |
| #34036427 | 2 |
| #34036171 | 2 |
| #34036169 | 2 |
| #34036152 | 2 |
| #34036130 | 2 |
| #417×C293 | 2 |
| #3080 | 293 |