Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #14271217 | C2 | semidirect |
| 3. #14271213 | C2 | semidirect |
| 4. #14271186 | C2 | semidirect |
| 6. M16×Dic29 | C2 | semidirect |
| 21. #11745163 | C22 | semidirect |
| 22. #11745162 | C22 | semidirect |
| 23. C8×Dic29 | C22 | semidirect |
| 67. C2×Dic29 | M16 | semidirect |
| 116. C29 | #2920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic29 | 2 |
| #14271217 | 2 |
| #14271213 | 2 |
| #14271186 | 2 |
| #14271127 | 2 |
| M16×Dic29 | 2 |
| C29×#407 | 2 |
| #2920 | 29 |