Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
278 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 67 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. #34036169 | C2 | semidirect |
| 4. C2×#22627542 | C2 | semidirect |
| 5. #34036034 | C2 | semidirect |
| 6. #34035890 | C2 | semidirect |
| 120. C293 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036700 | 2 |
| #34036169 | 2 |
| C2×#22627551 | 2 |
| C2×#22627542 | 2 |
| #34036034 | 2 |
| #34035890 | 2 |
| #417×C293 | 2 |
| #2038 | 293 |