Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
386 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #13070410 | C2 | semidirect |
| 5. #13066728 | C2 | semidirect |
| 6. #13066727 | C2 | semidirect |
| 7. C11×#2161 | C2 | semidirect |
| 98. #2161 | D11 | semidirect |
| 235. C11 | #12924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622506 | 2 |
| #13070410 | 2 |
| C2×#10622152 | 2 |
| #13068655 | 2 |
| #13066728 | 2 |
| #13066727 | 2 |
| C11×#2161 | 2 |
| #12924 | 11 |