Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
564 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 137 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×#22627647 | C2 | semidirect |
| 2. C2×#22627645 | C2 | semidirect |
| 3. #34036680 | C2 | semidirect |
| 4. #34036678 | C2 | semidirect |
| 5. #34036522 | C2 | semidirect |
| 6. #34036521 | C2 | semidirect |
| 7. #34036519 | C2 | semidirect |
| 8. #34036518 | C2 | semidirect |
| 9. #34036515 | C2 | semidirect |
| 10. #97×D293 | C2 | semidirect |
| 11. #497×C293 | C2 | semidirect |
| 65. C8×D293 | D4 | semidirect |
| 133. C293 | #3150 | semidirect |
| 141. #497 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627647 | 2 |
| C2×#22627645 | 2 |
| #34036680 | 2 |
| #34036678 | 2 |
| #34036522 | 2 |
| #34036521 | 2 |
| #34036519 | 2 |
| #34036518 | 2 |
| #34036515 | 2 |
| #97×D293 | 2 |
| #497×C293 | 2 |
| #3150 | 293 |