Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
560 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #13067019 | C2 | semidirect |
| 5. #13066940 | C2 | semidirect |
| 6. #13066511 | C2 | semidirect |
| 7. C11×#3078 | C2 | semidirect |
| 86. C2×Q8×C11 | SD16 | semidirect |
| 133. #3078 | D11 | semidirect |
| 287. C2×Q8 | #4325 | semidirect |
| 333. C11 | #10179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079554 | 2 |
| C2×#10622640 | 2 |
| #13067285 | 2 |
| #13067019 | 2 |
| #13066940 | 2 |
| #13066511 | 2 |
| C11×#3078 | 2 |
| #10179 | 11 |