Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
418 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 251 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 |
|---|---|---|
| 10. #10622104 | C4 | direct (N × H) |
| 11. #10622099 | C4 | semidirect |
| 12. C4×C11⋊C16 | C4 | semidirect |
| 43. C11⋊C16 | C42 | semidirect |
| 74. C4×C11 | #347 | semidirect |
| 111. C11 | C4×#347 | semidirect |
| 130. C4 | #10622104 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622104 | 2 |
| C4×#66876 | 2 |
| C4×C11×#97 | 2 |
| C4×#347 | 11 |