Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
318 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 10. #14582725 | C4 | semidirect |
| 55. C16×C43 | C4⋊C4 | semidirect |
| 111. C43 | #13168 | semidirect |
| 152. C16 | Dic43⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582725 | 2 |
| C2×#14582674 | 2 |
| #19135326 | 2 |
| #19132686 | 2 |
| C2×C43×#367 | 2 |
| #13168 | 43 |