Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
266 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14271187 | C2 | semidirect |
| 3. #14270895 | C2 | semidirect |
| 4. #14270892 | C2 | semidirect |
| 5. C4×M16×C29 | C2 | semidirect |
| 70. D116 | M16 | semidirect |
| 76. Dic58 | M16 | semidirect |
| 100. C4×M16 | D29 | semidirect |
| 125. C29 | #1489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#90805 | 2 |
| #14271187 | 2 |
| #14270895 | 2 |
| #14270892 | 2 |
| C4×M16×C29 | 2 |
| #1489 | 29 |