Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
492 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 200 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. #34037140 | C2 | semidirect |
| 3. #34037139 | C2 | semidirect |
| 12. #22627693 | C22 | semidirect |
| 13. #22627692 | C22 | semidirect |
| 15. C2×#17989786 | C4 | semidirect |
| 16. C2×#17989785 | C4 | semidirect |
| 17. M16×D293 | C4 | semidirect |
| 20. C2×M16×C293 | C4 | semidirect |
| 38. #17989786 | C2×C4 | semidirect |
| 39. #17989785 | C2×C4 | semidirect |
| 40. C2×#14556873 | C2×C4 | semidirect |
| 41. C8×D293 | C2×C4 | semidirect |
| 44. M16×C293 | C2×C4 | semidirect |
| 45. C2×C8×C293 | C2×C4 | semidirect |
| 97. C293 | #2911 | semidirect |
| 108. C2×M16 | #11924078 | semidirect |
| 133. M16 | C2×#11924078 | semidirect |
| 137. C2×C8 | C2×#11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627703 | 2 |
| #34037140 | 2 |
| #34037139 | 2 |
| C2×M16×D293 | 2 |
| #2911 | 293 |