Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
486 conjugacy classes of subgroups; only the 235 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 235 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 |
|---|---|---|
| 12. C8×C11⋊C8 | C4 | semidirect |
| 62. C8×C11 | #107 | semidirect |
| 63. C11⋊C8 | #107 | semidirect |
| 119. C11 | #8818 | semidirect |
| 134. C8 | #66871 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068776 | 2 |
| #13068775 | 2 |
| C2×C8×C11⋊C8 | 2 |
| C11×#1845 | 2 |
| #8818 | 11 |