Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
386 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 101 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×#13063260 | C2 | semidirect |
| 3. #19133353 | C2 | semidirect |
| 6. #19132486 | C2 | semidirect |
| 7. C43×#1299 | C2 | semidirect |
| 176. #1299 | D43 | semidirect |
| 205. C43 | #8673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143556 | 2 |
| C4×#13063260 | 2 |
| #19133353 | 2 |
| #19133035 | 2 |
| #19133032 | 2 |
| #19132486 | 2 |
| C43×#1299 | 2 |
| #8673 | 43 |