Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
282 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 13. #14582726 | C4 | semidirect |
| 14. #14582724 | C4 | semidirect |
| 78. C43⋊C16 | C4⋊C4 | semidirect |
| 145. C43 | #13174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136381 | 2 |
| C2×#14582721 | 2 |
| C2×#14582677 | 2 |
| #19135348 | 2 |
| #19132703 | 2 |
| #19132702 | 2 |
| C43×#1943 | 2 |
| #13174 | 43 |