Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14271216 | C2 | semidirect |
| 3. #14270893 | C2 | semidirect |
| 4. #14270890 | C2 | semidirect |
| 5. C2×C29×C4⋊C8 | C2 | semidirect |
| 28. #90805 | C8 | semidirect |
| 69. D116 | C2×C8 | semidirect |
| 75. Dic58 | C2×C8 | semidirect |
| 99. C2×C4⋊C8 | D29 | semidirect |
| 124. C29 | #1477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#90805 | 2 |
| #14271216 | 2 |
| #14270893 | 2 |
| #14270890 | 2 |
| C2×C29×C4⋊C8 | 2 |
| #1477 | 29 |