Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
332 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #19135343 | C2 | semidirect |
| 5. #19132691 | C2 | semidirect |
| 6. #19132689 | C2 | semidirect |
| 7. C2×C4×C16×C43 | C2 | semidirect |
| 16. #14582704 | C4 | semidirect |
| 17. #14582701 | C4 | semidirect |
| 135. C2×C4×C16 | D43 | semidirect |
| 160. C43 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582707 | 2 |
| #19136303 | 2 |
| #19135483 | 2 |
| #19135343 | 2 |
| #19132691 | 2 |
| #19132689 | 2 |
| C2×C4×C16×C43 | 2 |
| #13151 | 43 |