Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
190 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14271559 | C2 | semidirect |
| 3. #14271514 | C2 | semidirect |
| 4. #14271513 | C2 | semidirect |
| 6. C8×#6597 | C2 | semidirect |
| 89. C29 | #1708 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271559 | 2 |
| #14271535 | 2 |
| #14271514 | 2 |
| #14271513 | 2 |
| #14271509 | 2 |
| C8×#6597 | 2 |
| C29×#486 | 2 |
| #1708 | 29 |