Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
736 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 147 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. #19135565 | C2 | semidirect |
| 3. C2×#14582641 | C2 | semidirect |
| 17. C43×#563 | C4 | semidirect |
| 174. #563 | Dic43 | semidirect |
| 190. C43 | #8507 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135565 | 2 |
| #19135412 | 2 |
| C2×#14582641 | 2 |
| C2×#14582639 | 2 |
| C2×C43×#563 | 2 |
| #8507 | 43 |