Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
214 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13070869 | C2 | semidirect |
| 3. #13066692 | C2 | semidirect |
| 4. #13066654 | C2 | semidirect |
| 138. C11 | #12437 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070869 | 2 |
| #13070697 | 2 |
| #13066692 | 2 |
| #13066654 | 2 |
| C11×#2170 | 2 |
| #12437 | 11 |