Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
110 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 39 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. C2×#90785 | C2 | semidirect |
| 5. C29×#103 | C2 | semidirect |
| 6. #11745164 | C2 | semidirect |
| 7. #11745156 | C2 | semidirect |
| 58. #103 | D29 | semidirect |
| 59. C29 | #470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11745308 | 2 |
| C2×#90785 | 2 |
| C2×#90772 | 2 |
| #11745259 | 2 |
| C29×#103 | 2 |
| #11745164 | 2 |
| #11745156 | 2 |
| #470 | 29 |