Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
558 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 267 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. #13070898 | C2 | direct (N × H) |
| 22. C2×C11×C16 | Q8 | semidirect |
| 45. C11×C16 | C2×Q8 | semidirect |
| 88. C2×C16 | Dic22 | semidirect |
| 95. C2×C11 | #2254 | semidirect |
| 113. C16 | C2×Dic22 | semidirect |
| 114. C11 | C2×#2254 | semidirect |
| 136. C2 | #13070898 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622295 | 2 |
| #13070898 | 2 |
| C2×#10622143 | 2 |
| C2×C4×C11×C16 | 2 |
| C2×#2254 | 11 |