Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 3. #19132765 | C2 | direct (N × H) |
| 5. C2×#13063317 | C4 | semidirect |
| 8. #14583263 | C4 | semidirect |
| 13. C2×#13063236 | C4 | semidirect |
| 23. #13063317 | C2×C4 | semidirect |
| 34. #13063236 | C2×C4 | semidirect |
| 152. C2×C43 | #1412 | semidirect |
| 169. C43 | C2×#1412 | semidirect |
| 297. C2 | #19132765 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583263 | 2 |
| C2×#14582692 | 2 |
| #19132765 | 2 |
| C2×C43×#353 | 2 |
| C2×#1412 | 43 |