Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
428 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19134639 | C2 | semidirect |
| 4. #19132715 | C2 | semidirect |
| 6. C2×#13063332 | C4 | semidirect |
| 11. #14582923 | C4 | semidirect |
| 13. #14582866 | C4 | semidirect |
| 15. C2×C4×C43⋊C8 | C4 | semidirect |
| 175. C43 | #12807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143307 | 2 |
| #19136260 | 2 |
| #19134639 | 2 |
| #19132715 | 2 |
| C43×#2126 | 2 |
| #12807 | 43 |