Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#10622151 | C2 | semidirect |
| 3. C2×#10622125 | C2 | semidirect |
| 6. #13066716 | C2 | semidirect |
| 7. C11×#1383 | C2 | semidirect |
| 22. (C2×D11)⋊C16 | C4 | semidirect |
| 102. #1383 | D11 | semidirect |
| 239. C11 | #12930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622473 | 2 |
| C2×#10622151 | 2 |
| C2×#10622125 | 2 |
| #13070226 | 2 |
| #13068651 | 2 |
| #13066716 | 2 |
| C11×#1383 | 2 |
| #12930 | 11 |