Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #14270918 | C2 | semidirect |
| 4. #14270917 | C2 | semidirect |
| 5. C29×#336 | C2 | semidirect |
| 32. C2×C4×D29 | C8 | semidirect |
| 103. #336 | D29 | semidirect |
| 123. C29 | #1817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D29 | 2 |
| C2×#11745168 | 2 |
| #14270918 | 2 |
| #14270917 | 2 |
| C29×#336 | 2 |
| #1817 | 29 |