Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 256 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×#11745170 | C2 | semidirect |
| 3. #14271199 | C2 | semidirect |
| 6. #14270935 | C2 | semidirect |
| 7. C29×#344 | C2 | semidirect |
| 17. #11745269 | C4 | semidirect |
| 18. #11745269 | C4 | semidirect |
| 107. #344 | D29 | semidirect |
| 132. C29 | #1814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745269 | 2 |
| C2×#11745170 | 2 |
| #14271199 | 2 |
| #14271181 | 2 |
| #14271179 | 2 |
| #14270935 | 2 |
| C29×#344 | 2 |
| #1814 | 29 |