Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1854 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 1854 conjugacy classes of subgroups — too many to draw. Only its 331 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×#14582763 | C2 | semidirect |
| 3. #19132866 | C2 | semidirect |
| 4. #19132839 | C2 | semidirect |
| 6. C43×#1446 | C2 | semidirect |
| 9. C2×#13063314 | C4 | semidirect |
| 86. C4×Dic43 | C22⋊C4 | semidirect |
| 150. #1446 | D43 | semidirect |
| 173. C43 | #14662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063314 | 2 |
| C2×#14582763 | 2 |
| #19132866 | 2 |
| #19132839 | 2 |
| #19132835 | 2 |
| C43×#1446 | 2 |
| #14662 | 43 |