Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
140 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 41 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. #11745302 | C2 | semidirect |
| 2. C2×#90782 | C2 | semidirect |
| 3. C2×D232 | C2 | semidirect |
| 4. #11745255 | C2 | semidirect |
| 5. C29×#102 | C2 | semidirect |
| 6. #11745162 | C2 | semidirect |
| 7. #11745157 | C2 | semidirect |
| 35. D116 | D4 | semidirect |
| 53. Dic29 | D8 | semidirect |
| 67. #102 | D29 | semidirect |
| 68. C29 | #459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11745302 | 2 |
| C2×#90782 | 2 |
| C2×D232 | 2 |
| #11745255 | 2 |
| C29×#102 | 2 |
| #11745162 | 2 |
| #11745157 | 2 |
| #459 | 29 |