Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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. #34036760 | C2 | semidirect |
| 3. #34036439 | C2 | semidirect |
| 4. #34036428 | C2 | semidirect |
| 5. #34036418 | C2 | semidirect |
| 6. #34036413 | C2 | semidirect |
| 7. #34036169 | C2 | semidirect |
| 8. #34036155 | C2 | semidirect |
| 11. C2×#106×C293 | C2 | semidirect |
| 42. #17989802 | Q8 | semidirect |
| 123. C293 | #3084 | semidirect |
| 132. C2×#106 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036760 | 2 |
| #34036610 | 2 |
| #34036439 | 2 |
| #34036428 | 2 |
| #34036418 | 2 |
| #34036413 | 2 |
| #34036169 | 2 |
| #34036155 | 2 |
| #34036128 | 2 |
| #34036126 | 2 |
| C2×#106×C293 | 2 |
| #3084 | 293 |