Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 3. #19151456 | C2 | semidirect |
| 4. #19151365 | C2 | semidirect |
| 5. #342×C89 | C2 | semidirect |
| 8. C22×C4×D89 | C4 | semidirect |
| 12. C2×#13083553 | C4 | semidirect |
| 14. C2×#13083551 | C4 | semidirect |
| 15. C2×C4×Dic89 | C4 | semidirect |
| 60. C22×D89 | C4⋊C4 | semidirect |
| 82. C2×Dic89 | C4⋊C4 | semidirect |
| 109. Dic89 | #99 | semidirect |
| 119. C89 | #1799 | semidirect |
| 124. #342 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667972 | 2 |
| C2×#15667926 | 2 |
| #19151456 | 2 |
| #19151365 | 2 |
| #342×C89 | 2 |
| #1799 | 89 |