Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19152155 | C2 | semidirect |
| 3. #19151889 | C2 | semidirect |
| 4. #19151884 | C2 | semidirect |
| 5. #19151827 | C2 | semidirect |
| 6. #19151804 | C2 | semidirect |
| 7. #19151799 | C2 | semidirect |
| 8. C2×C4⋊C8×C89 | C2 | semidirect |
| 69. C2×C4×C89 | SD16 | semidirect |
| 113. C89 | #3246 | semidirect |
| 121. C2×C4⋊C8 | D89 | semidirect |
| 195. C2×C4 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152148 | 2 |
| #19151889 | 2 |
| #19151884 | 2 |
| #19151827 | 2 |
| #19151804 | 2 |
| #19151799 | 2 |
| C2×C4⋊C8×C89 | 2 |
| #3246 | 89 |