Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
166 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 61 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. #34036527 | C2 | semidirect |
| 4. #34035880 | C2 | semidirect |
| 5. #34035877 | C2 | semidirect |
| 6. #34035874 | C2 | semidirect |
| 59. C8×C293 | SD16 | semidirect |
| 76. C293 | #1671 | semidirect |
| 136. C8 | #17989790 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036527 | 2 |
| #34036419 | 2 |
| #34036334 | 2 |
| #34035880 | 2 |
| #34035877 | 2 |
| #34035874 | 2 |
| C8×D4×C293 | 2 |
| #1671 | 293 |