Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
392 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×C22⋊(C43⋊C16) | C2 | semidirect |
| 3. #19132536 | C2 | semidirect |
| 4. #19132520 | C2 | semidirect |
| 5. C43×#2112 | C2 | semidirect |
| 163. #2112 | D43 | semidirect |
| 191. C43 | #11470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143289 | 2 |
| C2×C22⋊(C43⋊C16) | 2 |
| #19132536 | 2 |
| #19132520 | 2 |
| C43×#2112 | 2 |
| #11470 | 43 |