Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
808 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 808 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19133923 | C2 | semidirect |
| 4. #19133897 | C2 | semidirect |
| 5. #19133222 | C2 | semidirect |
| 6. #19133197 | C2 | semidirect |
| 7. C2×C43×#564 | C2 | semidirect |
| 143. C2×#564 | D43 | semidirect |
| 176. C43 | #19003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145785 | 2 |
| #19144998 | 2 |
| #19133923 | 2 |
| #19133897 | 2 |
| #19133222 | 2 |
| #19133197 | 2 |
| C2×C43×#564 | 2 |
| #19003 | 43 |