Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4×Q8×D293 | C2 | semidirect |
| 3. #34036441 | C2 | semidirect |
| 4. #34036425 | C2 | semidirect |
| 5. #34036424 | C2 | semidirect |
| 6. #34036326 | C2 | semidirect |
| 7. #34036266 | C2 | semidirect |
| 8. #34036230 | C2 | semidirect |
| 9. #34036226 | C2 | semidirect |
| 10. #34036185 | C2 | semidirect |
| 11. #460×C293 | C2 | semidirect |
| 87. Dic586 | #41 | semidirect |
| 105. Q8×C293 | #41 | semidirect |
| 140. C293 | #3112 | semidirect |
| 148. #460 | D293 | semidirect |
| 231. Q8 | #17989801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036677 | 2 |
| C4×Q8×D293 | 2 |
| #34036441 | 2 |
| #34036425 | 2 |
| #34036424 | 2 |
| #34036326 | 2 |
| #34036266 | 2 |
| #34036230 | 2 |
| #34036226 | 2 |
| #34036185 | 2 |
| #460×C293 | 2 |
| #3112 | 293 |