Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
428 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q8×D89 | C2 | semidirect |
| 3. #19151918 | C2 | semidirect |
| 4. #19151880 | C2 | semidirect |
| 5. #19151799 | C2 | semidirect |
| 6. #19151798 | C2 | semidirect |
| 7. #19151738 | C2 | semidirect |
| 8. #19151685 | C2 | semidirect |
| 9. #19151683 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 87. Q8×C89 | #41 | semidirect |
| 110. C4×D89 | SD16 | semidirect |
| 113. Dic178 | #41 | semidirect |
| 141. C89 | #3103 | semidirect |
| 146. #475 | D89 | semidirect |
| 231. Q8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| C4×Q8×D89 | 2 |
| #19151918 | 2 |
| #19151880 | 2 |
| #19151799 | 2 |
| #19151798 | 2 |
| #19151738 | 2 |
| #19151685 | 2 |
| #19151683 | 2 |
| #19151650 | 2 |
| #475×C89 | 2 |
| #3103 | 89 |