Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
224 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 81 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×#11745160 | C2 | semidirect |
| 3. #14270972 | C2 | semidirect |
| 4. C29×#427 | C2 | semidirect |
| 8. C2×Dic116 | C4 | semidirect |
| 11. #11745266 | C4 | semidirect |
| 13. C2×D232 | C4 | semidirect |
| 16. C29×#106 | C22 | semidirect |
| 18. #11745160 | C22 | semidirect |
| 82. #427 | D29 | semidirect |
| 103. #106 | C2×D29 | semidirect |
| 104. C29 | #2145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745266 | 2 |
| C2×#11745160 | 2 |
| #14270972 | 2 |
| C29×#427 | 2 |
| #2145 | 29 |