Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
364 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 185 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 |
|---|---|---|
| 2. #14271292 | C2 | semidirect |
| 3. #14271287 | C2 | semidirect |
| 50. C2×#6597 | Q8 | semidirect |
| 113. C29 | #2960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271716 | 2 |
| #14271292 | 2 |
| #14271287 | 2 |
| #14271189 | 2 |
| #14271186 | 2 |
| #14271121 | 2 |
| #14271119 | 2 |
| C2×C8×Dic29 | 2 |
| C29×#424 | 2 |
| #2960 | 29 |