Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1516 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 1516 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19134592 | C2 | semidirect |
| 3. C2×#14582643 | C2 | semidirect |
| 4. C2×#14582628 | C2 | semidirect |
| 5. C43×#1957 | C2 | semidirect |
| 9. #14583534 | C4 | semidirect |
| 13. C2×C4⋊(C43⋊C8) | C22 | semidirect |
| 20. C2×C4×C8×C43 | C22 | semidirect |
| 21. C43×#384 | C22 | semidirect |
| 158. D172 | #102 | semidirect |
| 193. #1957 | D43 | semidirect |
| 215. C2×C4×C8 | C2×D43 | semidirect |
| 216. #384 | C2×D43 | semidirect |
| 220. C43 | #8443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583534 | 2 |
| #19134592 | 2 |
| C2×#14582643 | 2 |
| C2×#14582628 | 2 |
| C43×#1957 | 2 |
| #8443 | 43 |