Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. #19152328 | C2 | semidirect |
| 3. #19151995 | C2 | semidirect |
| 6. #19151882 | C2 | semidirect |
| 7. #19151880 | C2 | semidirect |
| 8. C8×Dic178 | C2 | semidirect |
| 11. #498×C89 | C2 | semidirect |
| 49. #13083563 | Q8 | semidirect |
| 93. Dic178 | SD16 | semidirect |
| 94. Dic178 | C2×Q8 | semidirect |
| 96. C8×C89 | C2×Q8 | semidirect |
| 118. C89 | Q8×SD16 | semidirect |
| 122. #498 | D89 | semidirect |
| 215. C8 | Q8×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152328 | 2 |
| #19152263 | 2 |
| #19151995 | 2 |
| #19151887 | 2 |
| #19151885 | 2 |
| #19151882 | 2 |
| #19151880 | 2 |
| C8×Dic178 | 2 |
| C4×#13083563 | 2 |
| #19151685 | 2 |
| #498×C89 | 2 |
| Q8×SD16 | 89 |