Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
164 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 31. Dic88 | Q8 | semidirect |
| 125. C11 | #13704 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070890 | 2 |
| #13070474 | 2 |
| #13066817 | 2 |
| Dic11⋊C32 | 2 |
| #13066798 | 2 |
| #13066796 | 2 |
| C11×#1424 | 2 |
| #13704 | 11 |