Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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. C2×#15668032 | C2 | semidirect |
| 2. C2×#15668020 | C2 | semidirect |
| 3. #19152179 | C2 | semidirect |
| 4. #19152176 | C2 | semidirect |
| 5. #19151847 | C2 | semidirect |
| 6. #19151843 | C2 | semidirect |
| 7. #19151838 | C2 | semidirect |
| 8. #19151833 | C2 | semidirect |
| 9. C2×#15667945 | C2 | semidirect |
| 10. #19151600 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 63. C2×#10623494 | D4 | semidirect |
| 153. C89 | #3061 | semidirect |
| 164. #417 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668032 | 2 |
| C2×#15668020 | 2 |
| #19152179 | 2 |
| #19152176 | 2 |
| #19151847 | 2 |
| #19151843 | 2 |
| #19151838 | 2 |
| #19151833 | 2 |
| C2×#15667945 | 2 |
| #19151600 | 2 |
| #417×C89 | 2 |
| #3061 | 89 |