Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 37 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. C2×SD16×C29 | C2 | semidirect |
| 2. #11745304 | C2 | semidirect |
| 4. #11745263 | C2 | semidirect |
| 5. #11745184 | C2 | semidirect |
| 6. #11745181 | C2 | semidirect |
| 7. #11745167 | C2 | semidirect |
| 54. C2×SD16 | D29 | semidirect |
| 59. C29 | #471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×SD16×C29 | 2 |
| #11745304 | 2 |
| #11745294 | 2 |
| #11745263 | 2 |
| #11745184 | 2 |
| #11745181 | 2 |
| #11745167 | 2 |
| #471 | 29 |