Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 3. #34036438 | C2 | semidirect |
| 4. #34036434 | C2 | semidirect |
| 5. #34036422 | C2 | semidirect |
| 6. #34036412 | C2 | semidirect |
| 65. C2×Q8×C293 | Q8 | semidirect |
| 116. C293 | #3082 | semidirect |
| 161. C2×Q8 | Dic586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036760 | 2 |
| #34036607 | 2 |
| #34036438 | 2 |
| #34036434 | 2 |
| #34036422 | 2 |
| #34036412 | 2 |
| #34036169 | 2 |
| #34036167 | 2 |
| #34036155 | 2 |
| #34036138 | 2 |
| C2×#103×C293 | 2 |
| #3082 | 293 |