Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
300 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 300 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. #19132575 | C2 | semidirect |
| 5. Q8⋊(C43⋊C16) | C2 | semidirect |
| 6. #19132573 | C2 | semidirect |
| 7. C43×Q8⋊C16 | C2 | semidirect |
| 148. Q8⋊C16 | D43 | semidirect |
| 172. C43 | #11638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143524 | 2 |
| #19136393 | 2 |
| #19136392 | 2 |
| #19132575 | 2 |
| Q8⋊(C43⋊C16) | 2 |
| #19132573 | 2 |
| C43×Q8⋊C16 | 2 |
| #11638 | 43 |