Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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×C4×Dic178 | C2 | semidirect |
| 3. #19151929 | C2 | semidirect |
| 5. #19151906 | C2 | semidirect |
| 6. #19151821 | C2 | semidirect |
| 7. #19151756 | C2 | semidirect |
| 9. C4×Dic356 | C2 | semidirect |
| 10. C4×#13083563 | C2 | semidirect |
| 11. #431×C89 | C2 | semidirect |
| 132. C89 | #3108 | semidirect |
| 143. #431 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| C2×C4×Dic178 | 2 |
| #19151929 | 2 |
| #19151912 | 2 |
| #19151906 | 2 |
| #19151821 | 2 |
| #19151756 | 2 |
| #19151739 | 2 |
| C4×Dic356 | 2 |
| C4×#13083563 | 2 |
| #431×C89 | 2 |
| #3108 | 89 |