Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
426 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#14582728 | C2 | semidirect |
| 3. C2×#14582707 | C2 | semidirect |
| 4. C2×C16×Dic43 | C2 | semidirect |
| 5. #19135484 | C2 | semidirect |
| 6. #19135481 | C2 | semidirect |
| 7. C2×C43×#359 | C2 | semidirect |
| 11. C2×#13063271 | C4 | semidirect |
| 12. C2×#13063269 | C4 | semidirect |
| 13. C2×#13063268 | C4 | semidirect |
| 14. C2×#13063266 | C4 | semidirect |
| 176. C2×#359 | D43 | semidirect |
| 207. C43 | #13241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583329 | 2 |
| C2×#14582728 | 2 |
| C2×#14582707 | 2 |
| C2×C16×Dic43 | 2 |
| #19135484 | 2 |
| #19135481 | 2 |
| C2×C43×#359 | 2 |
| #13241 | 43 |