Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
200 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 8. #22627678 | C4 | semidirect |
| 9. C8×#11924078 | C4 | semidirect |
| 13. #22627535 | C4 | semidirect |
| 14. #22627534 | C4 | semidirect |
| 15. C8×Dic293 | C4 | semidirect |
| 16. C4×C8×C293 | C4 | semidirect |
| 61. C293 | #1747 | semidirect |
| 78. C4×C8 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037092 | 2 |
| #34036998 | 2 |
| #34036997 | 2 |
| #34036996 | 2 |
| #34036083 | 2 |
| #1747 | 293 |