Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
460 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. #19134587 | C2 | semidirect |
| 2. #19133353 | C2 | semidirect |
| 3. #19133272 | C2 | semidirect |
| 4. #19133046 | C2 | semidirect |
| 5. C2×D4⋊(C43⋊C8) | C2 | semidirect |
| 6. #19132469 | C2 | semidirect |
| 229. C43 | #10456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134587 | 2 |
| #19133353 | 2 |
| #19133272 | 2 |
| #19133046 | 2 |
| C2×D4⋊(C43⋊C8) | 2 |
| #19132469 | 2 |
| C43×#3036 | 2 |
| #10456 | 43 |