Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
348 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 4. #14583374 | C4 | semidirect |
| 7. C2×#13063242 | C4 | semidirect |
| 10. #14582643 | C4 | semidirect |
| 14. C43×#353 | C4 | semidirect |
| 151. #353 | Dic43 | semidirect |
| 155. C43 | #7485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134994 | 2 |
| C2×#14582643 | 2 |
| C2×C43×#353 | 2 |
| #7485 | 43 |