Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 3. #19132617 | C2 | semidirect |
| 4. #19132596 | C2 | semidirect |
| 6. C2×#13063304 | C4 | semidirect |
| 8. #14582829 | C4 | semidirect |
| 11. #14582819 | C4 | semidirect |
| 16. #14582762 | C4 | semidirect |
| 206. C43 | #11826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140512 | 2 |
| #19134583 | 2 |
| #19132617 | 2 |
| #19132596 | 2 |
| C43×#1466 | 2 |
| #11826 | 43 |