Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
162 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 47 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×#41×C29 | C2 | semidirect |
| 2. C2×#90784 | C2 | semidirect |
| 3. C2×#90782 | C2 | semidirect |
| 4. #11745292 | C2 | semidirect |
| 5. #11745183 | C2 | semidirect |
| 6. #11745180 | C2 | semidirect |
| 7. C22⋊#6597 | C2 | semidirect |
| 27. Q8×C29 | D4 | semidirect |
| 30. D4×C29 | D4 | semidirect |
| 65. C2×#41 | D29 | semidirect |
| 72. C29 | #449 | semidirect |
| 92. Q8 | C22⋊D29 | semidirect |
| 98. D4 | C22⋊D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#41×C29 | 2 |
| C2×#90784 | 2 |
| C2×#90782 | 2 |
| #11745292 | 2 |
| #11745183 | 2 |
| #11745180 | 2 |
| C22⋊#6597 | 2 |
| #449 | 29 |