Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
146 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14271581 | C2 | semidirect |
| 2. #14271580 | C2 | semidirect |
| 4. #14270983 | C2 | semidirect |
| 5. #14270946 | C2 | semidirect |
| 6. C16×Dic29 | C2 | semidirect |
| 7. C29×#350 | C2 | semidirect |
| 73. #350 | D29 | semidirect |
| 94. C29 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271581 | 2 |
| #14271580 | 2 |
| #14271278 | 2 |
| #14270983 | 2 |
| #14270946 | 2 |
| C16×Dic29 | 2 |
| C29×#350 | 2 |
| #2170 | 29 |