Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
380 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #34036496 | C2 | semidirect |
| 4. #34036481 | C2 | semidirect |
| 5. #34036480 | C2 | semidirect |
| 6. #34036479 | C2 | semidirect |
| 9. #487×C293 | C2 | semidirect |
| 106. C293 | #3139 | semidirect |
| 114. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| C4⋊Q8×D293 | 2 |
| #34036496 | 2 |
| #34036481 | 2 |
| #34036480 | 2 |
| #34036479 | 2 |
| #34036136 | 2 |
| C4×#17989785 | 2 |
| #487×C293 | 2 |
| #3139 | 293 |