Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
476 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. C2×#10622155 | C2 | semidirect |
| 5. #13069477 | C2 | semidirect |
| 6. #13066725 | C2 | semidirect |
| 7. C11×#1376 | C2 | semidirect |
| 20. #10622522 | C4 | semidirect |
| 126. #1376 | D11 | semidirect |
| 296. C11 | #13028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622522 | 2 |
| C2×#10622313 | 2 |
| C2×#10622155 | 2 |
| #13070329 | 2 |
| #13069477 | 2 |
| #13066725 | 2 |
| C11×#1376 | 2 |
| #13028 | 11 |