Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19151621 | C2 | semidirect |
| 5. C4×#13083553 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 10. #15667977 | C4 | semidirect |
| 11. #15667977 | C4 | semidirect |
| 12. #15667974 | C4 | semidirect |
| 13. #15667974 | C4 | semidirect |
| 95. D356 | C4⋊C4 | semidirect |
| 101. Dic178 | C4⋊C4 | semidirect |
| 124. Dic89 | #104 | semidirect |
| 132. C89 | #1806 | semidirect |
| 139. #339 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152066 | 2 |
| #19151621 | 2 |
| C2×#15667940 | 2 |
| C2×#15667938 | 2 |
| C4×#13083553 | 2 |
| #19151357 | 2 |
| #339×C89 | 2 |
| #1806 | 89 |