Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 255 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. #14271191 | C2 | semidirect |
| 4. #14271189 | C2 | semidirect |
| 5. #14271186 | C2 | semidirect |
| 6. C2×#11745162 | C2 | semidirect |
| 76. Dic29 | #131 | semidirect |
| 106. C29 | #2906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745310 | 2 |
| #41×Dic29 | 2 |
| #14271191 | 2 |
| #14271189 | 2 |
| #14271186 | 2 |
| C2×#11745162 | 2 |
| C2×C29×#131 | 2 |
| #2906 | 29 |