Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
456 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#10622134 | C2 | semidirect |
| 4. #13070335 | C2 | semidirect |
| 6. #13066698 | C2 | semidirect |
| 7. C11×#1945 | C2 | semidirect |
| 114. #1945 | D11 | semidirect |
| 267. C11 | #13414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622309 | 2 |
| C2×#10622134 | 2 |
| C2×#10622133 | 2 |
| #13070335 | 2 |
| #13070331 | 2 |
| #13066698 | 2 |
| C11×#1945 | 2 |
| #13414 | 11 |