Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
308 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 36. C2×C43⋊C16 | Q8 | semidirect |
| 52. C2×C16×C43 | Q8 | semidirect |
| 147. C43 | #13269 | semidirect |
| 170. C2×C16 | Dic86 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143535 | 2 |
| #19136360 | 2 |
| #19136199 | 2 |
| #19132682 | 2 |
| #19132680 | 2 |
| #19132675 | 2 |
| C43×#1375 | 2 |
| #13269 | 43 |