Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
158 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. C2×#11745177 | C2 | semidirect |
| 4. #14271257 | C2 | semidirect |
| 5. #14270981 | C2 | semidirect |
| 7. C29×#358 | C2 | semidirect |
| 74. #358 | D29 | semidirect |
| 93. C29 | #2211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745177 | 2 |
| C2×#11745148 | 2 |
| #14271548 | 2 |
| #14271257 | 2 |
| #14270981 | 2 |
| #14270963 | 2 |
| C29×#358 | 2 |
| #2211 | 29 |