Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1130 conjugacy classes of subgroups; only the 403 normal subgroups are shown.
This group has 1130 conjugacy classes of subgroups — too many to draw. Only its 403 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 |
|---|---|---|
| 2. #19136958 | C2 | semidirect |
| 3. C4×#13063256 | C2 | semidirect |
| 4. #19134428 | C2 | semidirect |
| 6. #19134282 | C2 | semidirect |
| 10. C4×#10621883 | C4 | semidirect |
| 30. C4×Dic86 | C2×C4 | semidirect |
| 35. #13063256 | C2×C4 | semidirect |
| 36. #13063248 | C2×C4 | semidirect |
| 39. C4×C43⋊C8 | C2×C4 | semidirect |
| 71. #10621883 | C42 | semidirect |
| 146. C43 | #20506 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#10621883 | 2 |
| #19136958 | 2 |
| C4×#13063256 | 2 |
| #19134428 | 2 |
| #19134420 | 2 |
| #19134282 | 2 |
| C43×#2275 | 2 |
| #20506 | 43 |