Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#15667937 | C2 | semidirect |
| 4. #19151361 | C2 | semidirect |
| 9. #15667991 | C4 | semidirect |
| 23. C2×Dic178 | C2×C4 | semidirect |
| 33. C4⋊Dic89 | C2×C4 | semidirect |
| 83. C22×C89 | #103 | semidirect |
| 106. C89 | #1872 | semidirect |
| 189. C22 | #15667937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| C22×C4⋊Dic89 | 2 |
| C2×#15667937 | 2 |
| #19151361 | 2 |
| C2×C22⋊C8×C89 | 2 |
| #1872 | 89 |