Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
406 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 406 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 |
|---|---|---|
| 3. C2×#11745306 | C2 | semidirect |
| 4. C2×#11745158 | C2 | semidirect |
| 6. #14270917 | C2 | semidirect |
| 7. C2×C29×#103 | C2 | semidirect |
| 91. C2×Dic29 | SD16 | semidirect |
| 125. C2×#103 | D29 | semidirect |
| 153. C29 | #2013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90773 | 2 |
| C22×#90784 | 2 |
| C2×#11745306 | 2 |
| C2×#11745158 | 2 |
| #14271064 | 2 |
| #14270917 | 2 |
| C2×C29×#103 | 2 |
| #2013 | 29 |