Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
580 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #19134876 | C2 | semidirect |
| 5. #19132713 | C2 | semidirect |
| 6. #19132712 | C2 | semidirect |
| 7. C43×#1867 | C2 | semidirect |
| 20. #14582691 | C4 | semidirect |
| 51. #13063240 | C2×C4 | semidirect |
| 70. #99×C43 | C2×C4 | semidirect |
| 109. C2×D172 | C4⋊C4 | semidirect |
| 133. C4×Dic43 | C4⋊C4 | semidirect |
| 246. #1867 | D43 | semidirect |
| 279. C43 | #12966 | semidirect |
| 316. #99 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137770 | 2 |
| C2×#14582691 | 2 |
| #19134993 | 2 |
| #19134876 | 2 |
| #19132713 | 2 |
| #19132712 | 2 |
| C43×#1867 | 2 |
| #12966 | 43 |