Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
610 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#15667971 | C2 | semidirect |
| 4. #19151531 | C2 | semidirect |
| 5. #19151520 | C2 | semidirect |
| 6. #19151493 | C2 | semidirect |
| 7. #19151488 | C2 | semidirect |
| 9. #19151471 | C2 | semidirect |
| 10. #19151461 | C2 | semidirect |
| 11. C22×C4⋊C4×C89 | C2 | semidirect |
| 148. C89 | #2413 | semidirect |
| 152. C22×C4⋊C4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667995 | 2 |
| C2×#15667971 | 2 |
| #19151531 | 2 |
| #19151520 | 2 |
| #19151493 | 2 |
| #19151488 | 2 |
| #19151477 | 2 |
| #19151471 | 2 |
| #19151461 | 2 |
| C22×C4⋊C4×C89 | 2 |
| #2413 | 89 |