Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
504 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 504 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 |
|---|---|---|
| 3. #14270930 | C2 | semidirect |
| 4. #14270929 | C2 | semidirect |
| 5. C29×#342 | C2 | semidirect |
| 7. C22×C4×D29 | C4 | semidirect |
| 13. C2×#90781 | C4 | semidirect |
| 99. #342 | D29 | semidirect |
| 117. C29 | #1819 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊C4×D29 | 2 |
| #14271018 | 2 |
| #14270930 | 2 |
| #14270929 | 2 |
| C29×#342 | 2 |
| #1819 | 29 |