Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 13. #14582694 | C4 | semidirect |
| 54. C2×Q8×C43 | C4⋊C4 | semidirect |
| 81. C42×C43 | C4⋊C4 | semidirect |
| 177. C43 | #12967 | semidirect |
| 212. C2×Q8 | Dic43⋊C4 | semidirect |
| 248. C42 | Dic43⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137769 | 2 |
| C2×#14582694 | 2 |
| #19134876 | 2 |
| #19132714 | 2 |
| C43×#1885 | 2 |
| #12967 | 43 |