Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #19151976 | C2 | semidirect |
| 4. #19151947 | C2 | semidirect |
| 5. #19151809 | C2 | semidirect |
| 6. #19151808 | C2 | semidirect |
| 7. #19151805 | C2 | semidirect |
| 11. #462×C89 | C2 | semidirect |
| 105. C4×D89 | Q16 | semidirect |
| 136. C89 | #3209 | semidirect |
| 144. #462 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152152 | 2 |
| C4⋊Q8×D89 | 2 |
| #19151976 | 2 |
| #19151947 | 2 |
| #19151809 | 2 |
| #19151808 | 2 |
| #19151805 | 2 |
| #19151755 | 2 |
| #19151752 | 2 |
| #19151650 | 2 |
| #462×C89 | 2 |
| #3209 | 89 |