Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
120 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 43 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. #14271563 | C2 | semidirect |
| 3. #14270987 | C2 | semidirect |
| 4. #14270983 | C2 | semidirect |
| 7. C29×#365 | C2 | semidirect |
| 60. #365 | D29 | semidirect |
| 78. C29 | #2231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271563 | 2 |
| #14271279 | 2 |
| #14270987 | 2 |
| #14270983 | 2 |
| #14270974 | 2 |
| #14270972 | 2 |
| C29×#365 | 2 |
| #2231 | 29 |