Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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×#11745231 | C2 | semidirect |
| 5. #14271171 | C2 | semidirect |
| 6. C2×#11745172 | C2 | semidirect |
| 7. C29×#339 | C2 | semidirect |
| 127. #339 | D29 | semidirect |
| 154. C29 | #2005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745271 | 2 |
| #14271739 | 2 |
| C2×#11745231 | 2 |
| C2×#11745153 | 2 |
| #14271171 | 2 |
| C2×#11745172 | 2 |
| C29×#339 | 2 |
| #2005 | 29 |