Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
124 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 43 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×#90773 | C2 | semidirect |
| 2. C2×C8×D29 | C2 | semidirect |
| 3. #11745259 | C2 | semidirect |
| 5. C29×#106 | C2 | semidirect |
| 6. #11745158 | C2 | semidirect |
| 7. #11745157 | C2 | semidirect |
| 35. C8×C29 | D4 | semidirect |
| 43. C2×D29 | SD16 | semidirect |
| 60. #106 | D29 | semidirect |
| 63. C29 | #465 | semidirect |
| 92. C8 | D116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90773 | 2 |
| C2×C8×D29 | 2 |
| #11745259 | 2 |
| #11745257 | 2 |
| C29×#106 | 2 |
| #11745158 | 2 |
| #11745157 | 2 |
| #465 | 29 |