Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 13. C4×C11⋊C16 | C4 | semidirect |
| 127. C11 | #12889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C11⋊C16 | 2 |
| #13068780 | 2 |
| #13066707 | 2 |
| C11×#1846 | 2 |
| #12889 | 11 |