Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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. C4×#13063261 | C2 | semidirect |
| 3. #19133186 | C2 | semidirect |
| 4. #19133011 | C2 | semidirect |
| 5. C8×M16×C43 | C2 | semidirect |
| 134. C8×M16 | D43 | semidirect |
| 158. C43 | #9724 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145174 | 2 |
| C4×#13063261 | 2 |
| #19133186 | 2 |
| #19133011 | 2 |
| C8×M16×C43 | 2 |
| #9724 | 43 |