Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
380 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 22. #10622155 | C4 | semidirect |
| 224. C11 | #12954 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077485 | 2 |
| #13070389 | 2 |
| C2×#10622155 | 2 |
| #13069406 | 2 |
| #13066731 | 2 |
| C11×#1378 | 2 |
| #12954 | 11 |