Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
314 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #14271641 | C2 | semidirect |
| 3. C2×#11745184 | C2 | semidirect |
| 4. #14270919 | C2 | semidirect |
| 8. C29×C4⋊Q8 | C4 | semidirect |
| 9. C29×#124 | C4 | semidirect |
| 90. C4⋊Q8 | Dic29 | semidirect |
| 91. #124 | Dic29 | semidirect |
| 100. C29 | #1912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271641 | 2 |
| #14271180 | 2 |
| C2×#11745184 | 2 |
| #14270919 | 2 |
| C29×#536 | 2 |
| #1912 | 29 |