Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
562 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#14583217 | C2 | semidirect |
| 3. #19134675 | C2 | semidirect |
| 4. #19132955 | C2 | semidirect |
| 5. #19132954 | C2 | semidirect |
| 6. #19132483 | C2 | semidirect |
| 7. C2×C43×#480 | C2 | semidirect |
| 197. C2×#480 | D43 | semidirect |
| 233. C43 | #9992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145392 | 2 |
| C2×#14583217 | 2 |
| #19134675 | 2 |
| #19132955 | 2 |
| #19132954 | 2 |
| #19132483 | 2 |
| C2×C43×#480 | 2 |
| #9992 | 43 |