Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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×#15668045 | C2 | semidirect |
| 3. #19152169 | C2 | semidirect |
| 4. #19152079 | C2 | semidirect |
| 5. #19151819 | C2 | semidirect |
| 6. #19151812 | C2 | semidirect |
| 7. #19151807 | C2 | semidirect |
| 8. #19151802 | C2 | semidirect |
| 9. #19151626 | C2 | semidirect |
| 10. C2×#15667935 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 147. C89 | #3046 | semidirect |
| 157. #417 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| C2×#15668032 | 2 |
| #19152169 | 2 |
| #19152079 | 2 |
| #19151819 | 2 |
| #19151812 | 2 |
| #19151807 | 2 |
| #19151802 | 2 |
| #19151626 | 2 |
| C2×#15667935 | 2 |
| #417×C89 | 2 |
| #3046 | 89 |