Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
298 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 23. #22627549 | C4 | semidirect |
| 24. #22627548 | C4 | semidirect |
| 25. #22627547 | C4 | semidirect |
| 26. #103×C293 | C4 | semidirect |
| 77. Dic586 | C4⋊C4 | semidirect |
| 91. Q8×C293 | C4⋊C4 | semidirect |
| 122. C293 | #1865 | semidirect |
| 148. #103 | #11924078 | semidirect |
| 189. Q8 | C4⋊#11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#11924078 | 2 |
| C2×#22627692 | 2 |
| C2×#22627687 | 2 |
| #34037080 | 2 |
| #34037002 | 2 |
| (C2×#11924078)⋊C8 | 2 |
| #103×D293 | 2 |
| #1865 | 293 |