Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. C4×C4⋊(C43⋊C8) | C2 | semidirect |
| 3. #19133370 | C2 | semidirect |
| 6. #19132491 | C2 | semidirect |
| 7. C43×#1276 | C2 | semidirect |
| 17. #14582644 | C4 | semidirect |
| 18. #14582642 | C4 | semidirect |
| 156. #1276 | D43 | semidirect |
| 178. C43 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135423 | 2 |
| C4×C4⋊(C43⋊C8) | 2 |
| #19133370 | 2 |
| #19133242 | 2 |
| #19132995 | 2 |
| #19132491 | 2 |
| C43×#1276 | 2 |
| #9577 | 43 |