Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11745183 | C2 | semidirect |
| 5. #14270926 | C2 | semidirect |
| 6. #14270925 | C2 | semidirect |
| 7. C2×C29×#103 | C2 | semidirect |
| 13. #11745308 | C4 | semidirect |
| 114. C2×D29 | #103 | semidirect |
| 127. C2×#103 | D29 | semidirect |
| 157. C29 | #1892 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D29 | 2 |
| C2×#11745308 | 2 |
| C2×#11745183 | 2 |
| #14271020 | 2 |
| #14270926 | 2 |
| #14270925 | 2 |
| C2×C29×#103 | 2 |
| #1892 | 29 |