Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1078 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1078 conjugacy classes of subgroups — too many to draw. Only its 251 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 |
|---|---|---|
| 1. C2×#14582947 | C2 | semidirect |
| 3. #19135994 | C2 | direct (N × H) |
| 4. C2×C43×#338 | C2 | semidirect |
| 8. #14582947 | C22 | semidirect |
| 14. C43×#338 | C22 | semidirect |
| 118. C2×#338 | D43 | semidirect |
| 121. C2×C43 | #2069 | semidirect |
| 133. #338 | C2×D43 | semidirect |
| 134. C43 | C2×#2069 | semidirect |
| 237. C2 | #19135994 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582947 | 2 |
| C22×#13063241 | 2 |
| #19135994 | 2 |
| C2×C43×#338 | 2 |
| C2×#2069 | 43 |