Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
384 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 107 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. C4×#13063257 | C2 | semidirect |
| 4. #19132450 | C2 | semidirect |
| 5. C43×#1568 | C2 | semidirect |
| 7. #14583029 | C4 | semidirect |
| 8. C8×Dic86 | C4 | semidirect |
| 9. #14582978 | C4 | semidirect |
| 11. C8×D172 | C4 | semidirect |
| 150. #1568 | D43 | semidirect |
| 177. C43 | #8696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143570 | 2 |
| C4×#13063257 | 2 |
| #19133121 | 2 |
| #19132450 | 2 |
| C43×#1568 | 2 |
| #8696 | 43 |