Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
558 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 143 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. C22×#13063265 | C2 | semidirect |
| 3. C2×#14582699 | C2 | semidirect |
| 4. #19132686 | C2 | semidirect |
| 5. C43×#1808 | C2 | semidirect |
| 12. #14583135 | C4 | semidirect |
| 33. C2×C43⋊C16 | D4 | semidirect |
| 142. #1808 | D43 | semidirect |
| 165. C43 | #13061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063265 | 2 |
| C2×#14583135 | 2 |
| C2×#14582699 | 2 |
| #19132686 | 2 |
| C43×#1808 | 2 |
| #13061 | 43 |