Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
670 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 101 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×#15667927 | C2 | semidirect |
| 3. C2×#15667926 | C2 | semidirect |
| 4. #19151477 | C2 | semidirect |
| 5. #386×C89 | C2 | semidirect |
| 8. #15668057 | C4 | semidirect |
| 14. C2×C22⋊Dic89 | C22 | semidirect |
| 20. C23×C4×C89 | C22 | semidirect |
| 22. C2×C22⋊C4×C89 | C22 | semidirect |
| 69. C23×C89 | C22⋊C4 | semidirect |
| 82. C22×D89 | C22⋊C4 | semidirect |
| 95. C2×C4×C89 | C22⋊C4 | semidirect |
| 107. C2×Dic89 | C22⋊C4 | semidirect |
| 149. C89 | #1790 | semidirect |
| 154. #386 | D89 | semidirect |
| 164. C23×C4 | C2×D89 | semidirect |
| 168. C2×C22⋊C4 | C2×D89 | semidirect |
| 226. C23 | #13083551 | semidirect |
| 259. C2×C4 | #13083551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668057 | 2 |
| C2×#15667927 | 2 |
| C2×#15667926 | 2 |
| #19151477 | 2 |
| #386×C89 | 2 |
| #1790 | 89 |