Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
552 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#13063325 | C4 | semidirect |
| 10. #14582804 | C4 | semidirect |
| 13. C4×C4⋊Dic43 | C4 | semidirect |
| 163. C4×C43 | #354 | semidirect |
| 195. C43 | #13224 | semidirect |
| 340. C4 | #14582693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139587 | 2 |
| C2×#14582693 | 2 |
| C4×#13063240 | 2 |
| C43×#1799 | 2 |
| #13224 | 43 |