Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
466 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14270930 | C2 | semidirect |
| 3. C29×#543 | C2 | semidirect |
| 13. C23×D29 | Q8 | semidirect |
| 51. #543 | D29 | semidirect |
| 64. C29 | #2029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271018 | 2 |
| #14270930 | 2 |
| C29×#543 | 2 |
| #2029 | 29 |