Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
450 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 3. C2×#14582715 | C2 | semidirect |
| 5. #19132711 | C2 | semidirect |
| 6. #19132699 | C2 | semidirect |
| 7. C43×#2141 | C2 | semidirect |
| 15. #14583171 | C4 | semidirect |
| 160. #2141 | D43 | semidirect |
| 187. C43 | #13069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147697 | 2 |
| C2×#14583171 | 2 |
| C2×#14582715 | 2 |
| #19134646 | 2 |
| #19132711 | 2 |
| #19132699 | 2 |
| C43×#2141 | 2 |
| #13069 | 43 |