Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
114 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 114 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 |
|---|---|---|
| 2. C2×#90785 | C2 | semidirect |
| 5. C29×#103 | C2 | semidirect |
| 6. #11745164 | C2 | semidirect |
| 7. #11745155 | C2 | semidirect |
| 39. C2×D29 | Q16 | semidirect |
| 58. #103 | D29 | semidirect |
| 59. C29 | #467 | 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×C8×D29 | 2 |
| #11745259 | 2 |
| C29×#103 | 2 |
| #11745164 | 2 |
| #11745155 | 2 |
| #467 | 29 |