Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×C4×Dic586 | C2 | semidirect |
| 2. #34036440 | C2 | semidirect |
| 3. #34036421 | C2 | semidirect |
| 4. #34036326 | C2 | semidirect |
| 5. #34036267 | C2 | semidirect |
| 6. #34036229 | C2 | semidirect |
| 7. #34036186 | C2 | semidirect |
| 66. Dic586 | #41 | semidirect |
| 111. C293 | #3112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic586 | 2 |
| #34036440 | 2 |
| #34036421 | 2 |
| #34036326 | 2 |
| #34036267 | 2 |
| #34036229 | 2 |
| #34036186 | 2 |
| #532×C293 | 2 |
| #3112 | 293 |