Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
218 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13070891 | C2 | semidirect |
| 3. #13066690 | C2 | semidirect |
| 4. #13066670 | C2 | semidirect |
| 50. C11×C16 | SD16 | semidirect |
| 129. C16 | #4324 | semidirect |
| 130. C11 | #12454 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070891 | 2 |
| #13068005 | 2 |
| #13066690 | 2 |
| #13066670 | 2 |
| C11×#2169 | 2 |
| #12454 | 11 |