Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
494 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 147 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×#10622104 | C2 | semidirect |
| 4. #13066697 | C2 | semidirect |
| 5. C2×C11×#347 | C2 | semidirect |
| 18. #10622152 | C4 | semidirect |
| 39. C11×M32 | C2×C4 | semidirect |
| 47. #66876 | C2×C4 | semidirect |
| 90. C2×#347 | D11 | semidirect |
| 170. M32 | C4×D11 | semidirect |
| 220. C11 | #12607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622320 | 2 |
| C2×#10622152 | 2 |
| C2×#10622104 | 2 |
| #13066697 | 2 |
| C2×C11×#347 | 2 |
| #12607 | 11 |