Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152132 | C2 | semidirect |
| 2. #19151906 | C2 | semidirect |
| 3. #19151899 | C2 | semidirect |
| 4. #19151839 | C2 | semidirect |
| 6. #19151827 | C2 | semidirect |
| 7. #19151821 | C2 | semidirect |
| 8. #19151814 | C2 | semidirect |
| 9. C2×C4⋊C8×C89 | C2 | semidirect |
| 107. C89 | #3250 | semidirect |
| 116. C2×C4⋊C8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151906 | 2 |
| #19151899 | 2 |
| #19151839 | 2 |
| #19151834 | 2 |
| #19151827 | 2 |
| #19151821 | 2 |
| #19151814 | 2 |
| C2×C4⋊C8×C89 | 2 |
| #3250 | 89 |