Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
234 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 147 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. #19132661 | C2 | semidirect |
| 19. C2×C16×C43 | C8 | semidirect |
| 78. C43 | #11999 | semidirect |
| 83. C2×C16 | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19133343 | 2 |
| #19132661 | 2 |
| C2×C43×#346 | 2 |
| #11999 | 43 |