Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #34036182 | C2 | semidirect |
| 3. #34035856 | C2 | semidirect |
| 4. #423×C293 | C2 | semidirect |
| 15. C4×#14556873 | C22 | semidirect |
| 19. C4⋊C8×C293 | C22 | semidirect |
| 49. D1172 | M16 | semidirect |
| 89. C293 | #1486 | semidirect |
| 93. #423 | D293 | semidirect |
| 107. C4⋊C8 | C2×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D1172 | 2 |
| #34036182 | 2 |
| #34035856 | 2 |
| #423×C293 | 2 |
| #1486 | 293 |