Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
412 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 117 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. C4×C22⋊Dic89 | C2 | semidirect |
| 4. #19151364 | C2 | semidirect |
| 5. C4×C22⋊C4×C89 | C2 | semidirect |
| 7. C22×C4×D89 | C4 | semidirect |
| 12. C2×#13083553 | C4 | semidirect |
| 15. C2×#13083551 | C4 | semidirect |
| 17. C2×C4×Dic89 | C4 | semidirect |
| 18. #15667926 | C4 | direct (N × H) |
| 41. C22⋊Dic89 | C2×C4 | semidirect |
| 57. C22⋊C4×C89 | C2×C4 | semidirect |
| 70. C22×D89 | C42 | semidirect |
| 95. C2×Dic89 | C42 | semidirect |
| 120. C4×C89 | #99 | semidirect |
| 134. C89 | C4×#99 | semidirect |
| 138. C4×C22⋊C4 | D89 | semidirect |
| 188. C22⋊C4 | C4×D89 | semidirect |
| 258. C4 | #15667926 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D89 | 2 |
| C2×#15667926 | 2 |
| C4×C22⋊Dic89 | 2 |
| #19151364 | 2 |
| C4×C22⋊C4×C89 | 2 |
| C4×#99 | 89 |