Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1072 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19145147 | C2 | semidirect |
| 3. #19144418 | C2 | semidirect |
| 4. #19140540 | C2 | semidirect |
| 5. #19135806 | C2 | semidirect |
| 6. #19135575 | C2 | semidirect |
| 7. #19134807 | C2 | semidirect |
| 8. #19134408 | C2 | semidirect |
| 9. C43×#1965 | C2 | semidirect |
| 114. M16×C43 | #41 | semidirect |
| 201. #1965 | D43 | semidirect |
| 236. C43 | #25690 | semidirect |
| 314. M16 | #10621900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148469 | 2 |
| #19145147 | 2 |
| #19144418 | 2 |
| #19140540 | 2 |
| #19135806 | 2 |
| #19135575 | 2 |
| #19134807 | 2 |
| #19134408 | 2 |
| C43×#1965 | 2 |
| #25690 | 43 |