Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
332 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 332 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. #14271930 | C2 | semidirect |
| 2. #14271180 | C2 | semidirect |
| 3. #14271137 | C2 | semidirect |
| 4. #14270923 | C2 | semidirect |
| 8. C29×C4⋊Q8 | C4 | semidirect |
| 9. C29×#127 | C4 | semidirect |
| 10. C29×#124 | C4 | semidirect |
| 11. C29×#124 | C4 | semidirect |
| 47. #90777 | D4 | semidirect |
| 106. C4⋊Q8 | Dic29 | semidirect |
| 107. #127 | Dic29 | semidirect |
| 108. #124 | Dic29 | semidirect |
| 109. #124 | Dic29 | semidirect |
| 116. C29 | #1884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271930 | 2 |
| #14271180 | 2 |
| #14271137 | 2 |
| #14270923 | 2 |
| C29×#532 | 2 |
| #1884 | 29 |