Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#15668060 | C2 | semidirect |
| 2. C2×#15668032 | C2 | semidirect |
| 3. #19152176 | C2 | semidirect |
| 4. #19151759 | C2 | semidirect |
| 5. #19151752 | C2 | semidirect |
| 6. #19151742 | C2 | semidirect |
| 7. #19151735 | C2 | semidirect |
| 8. #19151600 | C2 | semidirect |
| 9. C2×#15667936 | C2 | semidirect |
| 10. #19151566 | C2 | semidirect |
| 11. C2×#137×C89 | C2 | semidirect |
| 52. #13083574 | D4 | semidirect |
| 86. C2×Q8×C89 | D4 | semidirect |
| 170. C89 | #3013 | semidirect |
| 172. C2×#137 | D89 | semidirect |
| 233. C2×Q8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668060 | 2 |
| C2×#15668032 | 2 |
| #19152176 | 2 |
| #19151759 | 2 |
| #19151752 | 2 |
| #19151742 | 2 |
| #19151735 | 2 |
| #19151600 | 2 |
| C2×#15667936 | 2 |
| #19151566 | 2 |
| C2×#137×C89 | 2 |
| #3013 | 89 |