Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1206 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 1206 conjugacy classes of subgroups — too many to draw. Only its 123 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×#14582693 | C2 | semidirect |
| 5. C23×Dic86 | C4 | semidirect |
| 9. C2×#13063312 | C4 | semidirect |
| 13. C22×C4×Dic43 | C4 | semidirect |
| 109. C2×Dic86 | C22⋊C4 | semidirect |
| 122. C4×Dic43 | C22⋊C4 | semidirect |
| 203. C22×C43 | #354 | semidirect |
| 243. C43 | #12694 | semidirect |
| 424. C22 | #14582693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063312 | 2 |
| C2×#14582693 | 2 |
| #19134510 | 2 |
| C43×#1781 | 2 |
| #12694 | 43 |