Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
336 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14582641 | C4 | semidirect |
| 14. #14582641 | C4 | semidirect |
| 15. #14582641 | C4 | semidirect |
| 118. C43 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143701 | 2 |
| #19133360 | 2 |
| #19133190 | 2 |
| #19132488 | 2 |
| C43×#1995 | 2 |
| #8919 | 43 |