Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 49. C11×Q16 | Q16 | semidirect |
| 146. Q16 | #4326 | semidirect |
| 163. C11 | #12448 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070768 | 2 |
| #13068233 | 2 |
| Q16×C11⋊C8 | 2 |
| #13066685 | 2 |
| #13066674 | 2 |
| #13066673 | 2 |
| C11×#2227 | 2 |
| #12448 | 11 |