Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
342 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 73 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. C22×#90785 | C2 | semidirect |
| 4. C2×#11745172 | C2 | semidirect |
| 6. #14270927 | C2 | semidirect |
| 7. C2×C29×#101 | C2 | semidirect |
| 122. C2×#101 | D29 | semidirect |
| 151. C29 | #2020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745271 | 2 |
| C2×#11745304 | 2 |
| C22×#90785 | 2 |
| C2×#11745172 | 2 |
| #14271131 | 2 |
| #14270927 | 2 |
| C2×C29×#101 | 2 |
| #2020 | 29 |