Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
728 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 728 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. #19145313 | C2 | semidirect |
| 3. #19144989 | C2 | semidirect |
| 4. #19144976 | C2 | semidirect |
| 5. #19134248 | C2 | semidirect |
| 6. #19134241 | C2 | semidirect |
| 7. #19134234 | C2 | semidirect |
| 8. #19134207 | C2 | semidirect |
| 9. C43×#1455 | C2 | semidirect |
| 163. #1455 | D43 | semidirect |
| 197. C43 | #19754 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145333 | 2 |
| #19145313 | 2 |
| #19144989 | 2 |
| #19144976 | 2 |
| #19134248 | 2 |
| #19134241 | 2 |
| #19134234 | 2 |
| #19134207 | 2 |
| C43×#1455 | 2 |
| #19754 | 43 |