Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
258 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 9. #14582675 | C4 | semidirect |
| 10. C4×C43⋊C16 | C4 | semidirect |
| 16. C43×#347 | C4 | semidirect |
| 88. #347 | Dic43 | semidirect |
| 94. C43 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136192 | 2 |
| #19134350 | 2 |
| #19132685 | 2 |
| #19132682 | 2 |
| C43×#2110 | 2 |
| #12597 | 43 |