Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
672 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 672 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. #19134878 | C2 | semidirect |
| 5. #19134875 | C2 | semidirect |
| 6. #19132714 | C2 | semidirect |
| 7. C43×#1390 | C2 | semidirect |
| 21. #14582691 | C4 | semidirect |
| 60. #13063240 | C2×C4 | semidirect |
| 73. #99×C43 | C2×C4 | semidirect |
| 111. C2×D172 | C4⋊C4 | semidirect |
| 142. C4×Dic43 | C4⋊C4 | semidirect |
| 254. #1390 | D43 | semidirect |
| 285. C43 | #12964 | semidirect |
| 328. #99 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137658 | 2 |
| C2×#14582691 | 2 |
| #19134991 | 2 |
| #19134878 | 2 |
| #19134875 | 2 |
| #19132714 | 2 |
| C43×#1390 | 2 |
| #12964 | 43 |