Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
584 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 161 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. #19151536 | C2 | semidirect |
| 3. #19151533 | C2 | semidirect |
| 4. #19151517 | C2 | semidirect |
| 5. #19151509 | C2 | semidirect |
| 6. #19151479 | C2 | semidirect |
| 8. #19151469 | C2 | semidirect |
| 9. #19151456 | C2 | semidirect |
| 10. C2×#15667919 | C2 | semidirect |
| 11. C2×C22⋊Q8×C89 | C2 | semidirect |
| 40. C2×C22⋊D89 | Q8 | semidirect |
| 142. C89 | #2564 | semidirect |
| 143. C2×C22⋊Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D89 | 2 |
| #19151536 | 2 |
| #19151533 | 2 |
| #19151517 | 2 |
| #19151509 | 2 |
| #19151479 | 2 |
| #19151475 | 2 |
| #19151469 | 2 |
| #19151456 | 2 |
| C2×#15667919 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2564 | 89 |