Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
412 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11745157 | C2 | semidirect |
| 3. C2×C22⋊#6597 | C2 | semidirect |
| 4. #14270925 | C2 | semidirect |
| 5. C2×C29×#117 | C2 | semidirect |
| 14. #11745292 | C4 | semidirect |
| 37. C4⋊C4×C29 | D4 | semidirect |
| 97. C2×#117 | D29 | semidirect |
| 122. C29 | #1875 | semidirect |
| 145. C4⋊C4 | C22⋊D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745292 | 2 |
| C2×#11745157 | 2 |
| C2×C22⋊#6597 | 2 |
| #14270925 | 2 |
| C2×C29×#117 | 2 |
| #1875 | 29 |