Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
412 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11745288 | C2 | semidirect |
| 3. C2×#11745169 | C2 | semidirect |
| 4. #14270926 | C2 | semidirect |
| 5. C2×C29×C22⋊C8 | C2 | semidirect |
| 12. #11745292 | C4 | semidirect |
| 44. C4⋊Dic29 | D4 | semidirect |
| 99. C2×C22⋊C8 | D29 | semidirect |
| 122. C29 | #1875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745292 | 2 |
| C2×#11745288 | 2 |
| C2×#11745169 | 2 |
| #14270926 | 2 |
| C2×C29×C22⋊C8 | 2 |
| #1875 | 29 |