Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
292 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. C22×C43⋊C16 | C4 | semidirect |
| 14. C43×C22⋊C16 | C4 | semidirect |
| 125. C22⋊C16 | Dic43 | semidirect |
| 127. C43 | #7200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C43⋊C16) | 2 |
| #19134371 | 2 |
| C43×#2112 | 2 |
| #7200 | 43 |