Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
154 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 154 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. D29⋊M16 | C2 | semidirect |
| 4. #11745224 | C2 | semidirect |
| 5. C2×D4×C29 | C4 | semidirect |
| 10. #90807 | C4 | semidirect |
| 13. C2×Dic58 | C4 | semidirect |
| 17. C4×#1181 | C22 | semidirect |
| 18. #90796 | C22 | semidirect |
| 61. C29 | #421 | semidirect |
| 68. C2×D4 | #1181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90807 | 2 |
| #11745345 | 2 |
| D29⋊M16 | 2 |
| #11745224 | 2 |
| #421 | 29 |