Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
424 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13069399 | C2 | semidirect |
| 5. #13066711 | C2 | semidirect |
| 6. #13066706 | C2 | semidirect |
| 7. C11×#2159 | C2 | semidirect |
| 24. #10622154 | C4 | semidirect |
| 45. C11×M32 | C2×C4 | semidirect |
| 53. #66883 | C2×C4 | semidirect |
| 106. #2159 | D11 | semidirect |
| 198. M32 | C4×D11 | semidirect |
| 263. C11 | #12940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077467 | 2 |
| C2×#10622154 | 2 |
| C2×#10622129 | 2 |
| #13069399 | 2 |
| #13066711 | 2 |
| #13066706 | 2 |
| C11×#2159 | 2 |
| #12940 | 11 |