Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
770 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 770 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 |
|---|---|---|
| 2. #19134513 | C2 | semidirect |
| 3. #19133125 | C2 | semidirect |
| 4. #19132449 | C2 | semidirect |
| 5. C43×#2879 | C2 | semidirect |
| 6. C2×#13063321 | C4 | semidirect |
| 7. C2×#13063314 | C4 | semidirect |
| 13. #14582806 | C4 | semidirect |
| 14. #14582802 | C4 | semidirect |
| 68. C22⋊C8×C43 | D4 | semidirect |
| 238. #2879 | D43 | semidirect |
| 271. C43 | #9445 | semidirect |
| 310. C22⋊C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19138210 | 2 |
| #19134513 | 2 |
| #19133125 | 2 |
| #19132449 | 2 |
| C43×#2879 | 2 |
| #9445 | 43 |