Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#15668012 | C2 | semidirect |
| 3. #19151894 | C2 | semidirect |
| 4. #19151889 | C2 | semidirect |
| 5. #19151884 | C2 | semidirect |
| 6. #19151879 | C2 | semidirect |
| 7. #19151640 | C2 | semidirect |
| 9. #423×C89 | C2 | semidirect |
| 36. #13083574 | Q8 | semidirect |
| 89. D356 | C2×Q8 | semidirect |
| 96. Dic178 | C2×Q8 | semidirect |
| 122. C89 | #3079 | semidirect |
| 130. #423 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668012 | 2 |
| C4×#13083574 | 2 |
| #19151894 | 2 |
| #19151889 | 2 |
| #19151884 | 2 |
| #19151879 | 2 |
| #19151640 | 2 |
| #19151600 | 2 |
| #423×C89 | 2 |
| #3079 | 89 |