Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
364 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #19132584 | C2 | semidirect |
| 5. #19132583 | C2 | semidirect |
| 6. #19132582 | C2 | semidirect |
| 7. C43×#1340 | C2 | semidirect |
| 8. C2×Q16×D43 | C4 | semidirect |
| 12. #14583158 | C4 | semidirect |
| 14. #14583154 | C4 | semidirect |
| 18. #14582934 | C4 | semidirect |
| 179. #1340 | D43 | semidirect |
| 204. C43 | #11869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144248 | 2 |
| #19136214 | 2 |
| #19134640 | 2 |
| #19132584 | 2 |
| #19132583 | 2 |
| #19132582 | 2 |
| C43×#1340 | 2 |
| #11869 | 43 |