Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
554 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 116. Dic44 | Q16 | semidirect |
| 271. C11 | #19931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081553 | 2 |
| #13081291 | 2 |
| #13068119 | 2 |
| #13068071 | 2 |
| #13067855 | 2 |
| #13067754 | 2 |
| #13067514 | 2 |
| C8×Dic44 | 2 |
| C11×#1707 | 2 |
| #19931 | 11 |