Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
342 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 13. #14582927 | C4 | semidirect |
| 14. #14582925 | C4 | semidirect |
| 18. M16×Dic43 | C4 | semidirect |
| 19. C2×C8×Dic43 | C4 | semidirect |
| 193. C43 | #12864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143235 | 2 |
| #19134700 | 2 |
| #19134696 | 2 |
| #19132724 | 2 |
| #19132717 | 2 |
| #19132715 | 2 |
| C43×#1395 | 2 |
| #12864 | 43 |