Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
294 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 17. Dic43⋊C16 | C4 | semidirect |
| 136. C43 | #13184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582722 | 2 |
| C2×#14582721 | 2 |
| #19136350 | 2 |
| #19134756 | 2 |
| #108×Dic43 | 2 |
| #19132695 | 2 |
| C43×#1383 | 2 |
| #13184 | 43 |