Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
336 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. C2×#11745164 | C2 | semidirect |
| 3. C2×#11745158 | C2 | semidirect |
| 5. C2×C8×Dic29 | C2 | semidirect |
| 6. #14271028 | C2 | semidirect |
| 14. #11745298 | C4 | semidirect |
| 135. C29 | #1958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745298 | 2 |
| C2×#11745164 | 2 |
| C2×#11745158 | 2 |
| C2×#11745180 | 2 |
| C2×C8×Dic29 | 2 |
| #14271028 | 2 |
| C2×C29×#102 | 2 |
| #1958 | 29 |