Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
348 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 103 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×#11745156 | C2 | semidirect |
| 3. C2×#11745164 | C2 | semidirect |
| 4. C2×C8×Dic29 | C2 | semidirect |
| 5. #14271068 | C2 | semidirect |
| 15. C2×#90783 | C4 | semidirect |
| 81. C2×Dic29 | SD16 | semidirect |
| 87. #6597 | C22⋊C4 | semidirect |
| 136. C29 | #1968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90783 | 2 |
| C2×#11745156 | 2 |
| C2×#11745164 | 2 |
| C2×C8×Dic29 | 2 |
| #14271068 | 2 |
| #14271066 | 2 |
| C2×C29×#102 | 2 |
| #1968 | 29 |