Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
160 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 3. Q8×#6597 | C2 | semidirect |
| 4. #14270913 | C2 | semidirect |
| 5. #14270912 | C2 | semidirect |
| 7. C29×#477 | C2 | semidirect |
| 74. #477 | D29 | semidirect |
| 99. C29 | #1678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271511 | 2 |
| #14271363 | 2 |
| Q8×#6597 | 2 |
| #14270913 | 2 |
| #14270912 | 2 |
| #14270906 | 2 |
| C29×#477 | 2 |
| #1678 | 29 |