Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
154 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 67 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. #11745288 | C2 | semidirect |
| 3. C2×#90777 | C2 | semidirect |
| 4. #11745185 | C2 | semidirect |
| 7. #41×C29 | C4 | semidirect |
| 9. C2×Q8×C29 | C4 | semidirect |
| 11. C2×D4×C29 | C4 | semidirect |
| 16. C4×Dic29 | C22 | semidirect |
| 18. #90777 | C22 | semidirect |
| 61. C29 | #421 | semidirect |
| 64. #41 | Dic29 | semidirect |
| 66. C2×Q8 | Dic29 | semidirect |
| 68. C2×D4 | Dic29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#41×C29 | 2 |
| #11745288 | 2 |
| C2×#90777 | 2 |
| #11745185 | 2 |
| #421 | 29 |