Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
872 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 233 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. C2×#22627589 | C2 | semidirect |
| 3. #34036030 | C2 | semidirect |
| 4. #34036029 | C2 | semidirect |
| 5. #34035988 | C2 | semidirect |
| 6. C4×C22⋊Dic293 | C2 | semidirect |
| 7. #34035976 | C2 | semidirect |
| 8. #380×C293 | C2 | semidirect |
| 10. C2×#17989802 | C4 | semidirect |
| 60. Dic586 | C22⋊C4 | semidirect |
| 70. C2×Dic293 | #41 | semidirect |
| 114. C293 | #2341 | semidirect |
| 121. #380 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17989802 | 2 |
| C2×#22627589 | 2 |
| #34036030 | 2 |
| #34036029 | 2 |
| #34035988 | 2 |
| C4×C22⋊Dic293 | 2 |
| #34035976 | 2 |
| #380×C293 | 2 |
| #2341 | 293 |