Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
380 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×#14582723 | C2 | semidirect |
| 3. C2×#14582722 | C2 | semidirect |
| 6. #19132698 | C2 | semidirect |
| 7. C43×#1388 | C2 | semidirect |
| 19. #14582684 | C4 | semidirect |
| 140. #1388 | D43 | semidirect |
| 163. C43 | #12933 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143203 | 2 |
| C2×#14582723 | 2 |
| C2×#14582722 | 2 |
| #19136224 | 2 |
| #19134651 | 2 |
| #19132698 | 2 |
| C43×#1388 | 2 |
| #12933 | 43 |