Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14271201 | C2 | semidirect |
| 3. #14271179 | C2 | semidirect |
| 4. #14271136 | C2 | semidirect |
| 5. C29×#405 | C2 | semidirect |
| 11. C2×Dic116 | C4 | semidirect |
| 16. C2×D232 | C4 | semidirect |
| 17. C2×#90773 | C4 | semidirect |
| 96. #405 | D29 | semidirect |
| 120. C29 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745266 | 2 |
| #14271201 | 2 |
| #14271179 | 2 |
| #14271136 | 2 |
| C29×#405 | 2 |
| #1976 | 29 |