Finite Group DatabasebetaFinite Group DatabasebetaOrder 1856.
158 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 45 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×Q8×D29 | C2 | semidirect |
| 2. C2×#90784 | C2 | semidirect |
| 3. C2×#90773 | C2 | semidirect |
| 5. C29×#103 | C2 | semidirect |
| 6. #11745168 | C2 | semidirect |
| 7. #11745158 | C2 | semidirect |
| 26. Q8×C29 | D4 | semidirect |
| 40. Dic58 | D4 | semidirect |
| 49. C2×D29 | SD16 | semidirect |
| 67. #103 | D29 | semidirect |
| 69. C29 | #448 | semidirect |
| 91. Q8 | D116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D29 | 2 |
| C2×#90784 | 2 |
| C2×#90773 | 2 |
| #11745257 | 2 |
| C29×#103 | 2 |
| #11745168 | 2 |
| #11745158 | 2 |
| #448 | 29 |