Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
588 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19134583 | C2 | semidirect |
| 4. #19132719 | C2 | semidirect |
| 5. C43×#1799 | C2 | semidirect |
| 7. C2×C4×D172 | C4 | semidirect |
| 10. #14582800 | C4 | semidirect |
| 15. #14582764 | C4 | semidirect |
| 17. #14582745 | C4 | semidirect |
| 101. C2×D172 | C4⋊C4 | semidirect |
| 125. C4×Dic43 | C4⋊C4 | semidirect |
| 231. #1799 | D43 | semidirect |
| 261. C43 | #12799 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137317 | 2 |
| C2×#14582691 | 2 |
| #19134583 | 2 |
| #19132719 | 2 |
| C43×#1799 | 2 |
| #12799 | 43 |