Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
356 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 153 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. #34036533 | C2 | semidirect |
| 3. #34036530 | C2 | semidirect |
| 4. #34036529 | C2 | semidirect |
| 5. #34036526 | C2 | semidirect |
| 31. C2×#14556873 | Q8 | semidirect |
| 44. C2×C8×C293 | Q8 | semidirect |
| 78. C293 | #3160 | semidirect |
| 114. C2×C8 | Dic586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036682 | 2 |
| #34036533 | 2 |
| #34036530 | 2 |
| #34036529 | 2 |
| #34036526 | 2 |
| #34036167 | 2 |
| #34036165 | 2 |
| C2×C8×Dic293 | 2 |
| #427×C293 | 2 |
| #3160 | 293 |