Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
294 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 1. #13070928 | C2 | semidirect |
| 2. #13070719 | C2 | semidirect |
| 3. #13066803 | C2 | semidirect |
| 4. #13066756 | C2 | semidirect |
| 5. C11×#3414 | C2 | semidirect |
| 13. C2×D176 | C22 | semidirect |
| 17. #10622143 | C22 | semidirect |
| 18. #10622137 | C22 | semidirect |
| 31. C11×Q32 | D4 | semidirect |
| 35. C11×D16 | D4 | semidirect |
| 71. #3414 | D11 | semidirect |
| 137. Q32 | C22⋊D11 | semidirect |
| 142. D16 | C22⋊D11 | semidirect |
| 181. C11 | #13667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070928 | 2 |
| #13070719 | 2 |
| #13066803 | 2 |
| #13066756 | 2 |
| C11×#3414 | 2 |
| #13667 | 11 |