Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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. C2×#15667977 | C2 | semidirect |
| 3. #19151911 | C2 | semidirect |
| 4. #19151892 | C2 | semidirect |
| 5. #19151797 | C2 | semidirect |
| 6. #19151739 | C2 | semidirect |
| 7. #19151736 | C2 | semidirect |
| 8. #19151697 | C2 | semidirect |
| 9. #19151695 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #480×C89 | C2 | semidirect |
| 111. Dic178 | #41 | semidirect |
| 141. C89 | #3112 | semidirect |
| 145. #480 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| C2×#15667977 | 2 |
| #19151911 | 2 |
| #19151892 | 2 |
| #19151797 | 2 |
| #19151739 | 2 |
| #19151736 | 2 |
| #19151697 | 2 |
| #19151695 | 2 |
| #19151652 | 2 |
| #480×C89 | 2 |
| #3112 | 89 |