Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
230 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 230 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 |
|---|---|---|
| 1. #14271190 | C2 | semidirect |
| 4. C2×C8×Dic29 | C2 | semidirect |
| 5. #14270928 | C2 | semidirect |
| 6. #14270922 | C2 | semidirect |
| 15. C29×#103 | C4 | semidirect |
| 16. C29×#102 | C4 | semidirect |
| 107. #103 | Dic29 | semidirect |
| 108. #102 | Dic29 | semidirect |
| 111. C29 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271190 | 2 |
| C2×#11745185 | 2 |
| #14271130 | 2 |
| C2×C8×Dic29 | 2 |
| #14270928 | 2 |
| #14270922 | 2 |
| C29×#416 | 2 |
| #1937 | 29 |