Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
252 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 77 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×C4⋊#14556873 | C2 | semidirect |
| 3. #34035877 | C2 | semidirect |
| 4. #34035872 | C2 | semidirect |
| 5. #432×C293 | C2 | semidirect |
| 84. C293 | #1551 | semidirect |
| 87. #432 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036679 | 2 |
| C2×C4⋊#14556873 | 2 |
| #34035877 | 2 |
| #34035872 | 2 |
| #432×C293 | 2 |
| #1551 | 293 |