Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
290 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 4. C4⋊C4×Dic29 | C2 | semidirect |
| 5. #14270925 | C2 | semidirect |
| 6. #14270917 | C2 | semidirect |
| 7. C2×C29×#106 | C2 | semidirect |
| 20. #11745169 | C4 | semidirect |
| 111. C2×#106 | D29 | semidirect |
| 140. C29 | #1926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745169 | 2 |
| C2×#11745157 | 2 |
| #14271064 | 2 |
| C4⋊C4×Dic29 | 2 |
| #14270925 | 2 |
| #14270917 | 2 |
| C2×C29×#106 | 2 |
| #1926 | 29 |