Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134645 | C2 | semidirect |
| 4. #19132723 | C2 | semidirect |
| 5. C43×#1812 | C2 | semidirect |
| 6. C22×#10621872 | C4 | semidirect |
| 13. #14582927 | C4 | semidirect |
| 16. #14582862 | C4 | semidirect |
| 17. #14582854 | C4 | semidirect |
| 183. #1812 | D43 | semidirect |
| 210. C43 | #12806 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143296 | 2 |
| #19136234 | 2 |
| #19134645 | 2 |
| #19132723 | 2 |
| C43×#1812 | 2 |
| #12806 | 43 |