Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
334 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. #14583374 | C4 | semidirect |
| 6. C2×#13063242 | C4 | semidirect |
| 9. #14582692 | C4 | semidirect |
| 14. C43×#331 | C4 | semidirect |
| 148. #331 | Dic43 | semidirect |
| 149. C43 | #7493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582692 | 2 |
| #19134994 | 2 |
| C43×#1555 | 2 |
| #7493 | 43 |