Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
158 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 48 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. #11745345 | C2 | semidirect |
| 3. #11745227 | C2 | semidirect |
| 4. #11745215 | C2 | semidirect |
| 5. C22×C4×C29 | C4 | semidirect |
| 6. C2×C22⋊D29 | C4 | semidirect |
| 11. C2×C4×D29 | C4 | semidirect |
| 13. C2×Dic58 | C4 | semidirect |
| 58. C29 | #410 | semidirect |
| 67. C22×C4 | #1181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90805 | 2 |
| #11745345 | 2 |
| #11745227 | 2 |
| #11745215 | 2 |
| #410 | 29 |