Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
472 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #19134686 | C2 | semidirect |
| 4. #19134673 | C2 | semidirect |
| 6. #19132502 | C2 | semidirect |
| 7. C43×#1293 | C2 | semidirect |
| 11. #14583230 | C4 | semidirect |
| 13. #14583213 | C4 | semidirect |
| 213. #1293 | D43 | semidirect |
| 247. C43 | #9521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144520 | 2 |
| #19143640 | 2 |
| #19134686 | 2 |
| #19134673 | 2 |
| #19133139 | 2 |
| #19132502 | 2 |
| C43×#1293 | 2 |
| #9521 | 43 |