Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×Dic178 | C2 | semidirect |
| 3. #19151944 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151886 | C2 | semidirect |
| 7. #19151796 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 9. SD16×Dic89 | C2 | semidirect |
| 10. C4×#13083561 | C2 | semidirect |
| 11. #460×C89 | C2 | semidirect |
| 77. Q8×C89 | #41 | semidirect |
| 99. Dic178 | SD16 | semidirect |
| 126. C89 | #3362 | semidirect |
| 134. #460 | D89 | semidirect |
| 206. Q8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic178 | 2 |
| #19152268 | 2 |
| #19151944 | 2 |
| #19151943 | 2 |
| #19151889 | 2 |
| #19151886 | 2 |
| #19151796 | 2 |
| #19151722 | 2 |
| SD16×Dic89 | 2 |
| C4×#13083561 | 2 |
| #460×C89 | 2 |
| #3362 | 89 |