Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
320 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19152186 | C2 | semidirect |
| 2. #19151751 | C2 | semidirect |
| 3. #19151734 | C2 | semidirect |
| 4. #19151507 | C2 | semidirect |
| 5. #19151336 | C2 | semidirect |
| 6. #19151333 | C2 | semidirect |
| 7. #323×C89 | C2 | semidirect |
| 28. C2×Dic178 | D4 | semidirect |
| 32. C2×D356 | D4 | semidirect |
| 43. C4⋊Dic89 | D4 | semidirect |
| 44. C4⋊Dic89 | D4 | semidirect |
| 136. C89 | #1600 | semidirect |
| 143. #323 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152186 | 2 |
| #19151751 | 2 |
| #19151734 | 2 |
| #19151507 | 2 |
| #19151336 | 2 |
| #19151333 | 2 |
| #323×C89 | 2 |
| #1600 | 89 |