Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
400 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 160 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. #34037153 | C2 | semidirect |
| 2. #34037146 | C2 | semidirect |
| 3. #34037145 | C2 | semidirect |
| 4. #34037136 | C2 | semidirect |
| 6. C4×#17989812 | C2 | semidirect |
| 7. C4×D293⋊C8 | C2 | semidirect |
| 104. C293 | #2922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037153 | 2 |
| #34037146 | 2 |
| #34037145 | 2 |
| #34037136 | 2 |
| #34037103 | 2 |
| C4×#17989812 | 2 |
| C4×D293⋊C8 | 2 |
| C4×#17989801 | 2 |
| #2922 | 293 |