Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. #19136888 | C2 | semidirect |
| 2. #19136717 | C2 | semidirect |
| 4. #19132799 | C2 | semidirect |
| 5. #19132788 | C2 | semidirect |
| 6. #19132785 | C2 | semidirect |
| 7. C2×C43×SD64 | C2 | semidirect |
| 88. C2×SD64 | D43 | semidirect |
| 114. C43 | #13702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136888 | 2 |
| #19136717 | 2 |
| #19136712 | 2 |
| #19132799 | 2 |
| #19132788 | 2 |
| #19132785 | 2 |
| C2×C43×SD64 | 2 |
| #13702 | 43 |