Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 11. C22⋊(C43⋊C8) | C8 | semidirect |
| 19. C22×C8×C43 | C8 | semidirect |
| 116. C43 | #7016 | semidirect |
| 124. C22×C8 | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊(C43⋊C8) | 2 |
| C2×C43×#336 | 2 |
| #7016 | 43 |