Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
444 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 105 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×#14582721 | C2 | semidirect |
| 3. C2×#14582713 | C2 | semidirect |
| 4. C2×#14582676 | C2 | semidirect |
| 5. #19135489 | C2 | semidirect |
| 6. #19135469 | C2 | semidirect |
| 7. C2×C43×#360 | C2 | semidirect |
| 11. C2×#13063268 | C4 | semidirect |
| 12. C2×#13063266 | C4 | semidirect |
| 111. C43⋊C16 | C22⋊C4 | semidirect |
| 170. C2×#360 | D43 | semidirect |
| 199. C43 | #13249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583334 | 2 |
| C2×#14582721 | 2 |
| C2×#14582713 | 2 |
| C2×#14582676 | 2 |
| #19135489 | 2 |
| #19135469 | 2 |
| C2×C43×#360 | 2 |
| #13249 | 43 |