Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 5. #14582677 | C4 | direct (N × H) |
| 6. #14582675 | C4 | semidirect |
| 7. C4×C43⋊C16 | C4 | semidirect |
| 42. C43⋊C16 | C42 | semidirect |
| 62. C4×C43 | #347 | semidirect |
| 81. C43 | C4×#347 | semidirect |
| 130. C4 | #14582677 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582677 | 2 |
| C4×#13063265 | 2 |
| C4×#97×C43 | 2 |
| C4×#347 | 43 |