Finite Group DatabasebetaFinite Group DatabasebetaOrder 3520.
236 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 2. #66922⋊C5 | C2 | semidirect |
| 3. C4×C8×C11⋊C5 | C2 | semidirect |
| 4. #66885⋊C5 | C2 | semidirect |
| 13. #10622307 | C5 | semidirect |
| 25. #66922 | C2×C5 | semidirect |
| 26. C4×C8×C11 | C2×C5 | semidirect |
| 27. #66885 | C2×C5 | semidirect |
| 72. C11⋊C5 | #486 | semidirect |
| 94. C4×C8 | AGL(1,𝔽11) | semidirect |
| 115. C11 | C5×#486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #66927⋊C5 | 2 |
| #66922⋊C5 | 2 |
| C4×C8×C11⋊C5 | 2 |
| #66885⋊C5 | 2 |
| #10622307 | 5 |
| C5×#486 | 11 |