Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
296 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 296 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 |
|---|---|---|
| 2. C2×#11745167 | C2 | semidirect |
| 3. #14271171 | C2 | semidirect |
| 5. C2×#11745172 | C2 | semidirect |
| 7. C29×#405 | C2 | semidirect |
| 18. C2×#90773 | C4 | semidirect |
| 108. #405 | D29 | semidirect |
| 132. C29 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90773 | 2 |
| C2×#11745167 | 2 |
| #14271171 | 2 |
| #14271167 | 2 |
| C2×#11745172 | 2 |
| C2×#11745171 | 2 |
| C29×#405 | 2 |
| #1977 | 29 |