Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
560 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 161 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 |
|---|---|---|
| 2. C2×#15667971 | C2 | semidirect |
| 3. #19151538 | C2 | semidirect |
| 4. #19151535 | C2 | semidirect |
| 5. #19151530 | C2 | semidirect |
| 6. #19151525 | C2 | semidirect |
| 7. #19151523 | C2 | semidirect |
| 9. C4×C4⋊Dic89 | C2 | semidirect |
| 10. C4×#13083551 | C2 | semidirect |
| 11. C4×C22⋊C4×C89 | C2 | semidirect |
| 138. C89 | #2395 | semidirect |
| 149. C4×C22⋊C4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D89 | 2 |
| C2×#15667971 | 2 |
| #19151538 | 2 |
| #19151535 | 2 |
| #19151530 | 2 |
| #19151525 | 2 |
| #19151523 | 2 |
| #19151514 | 2 |
| C4×C4⋊Dic89 | 2 |
| C4×#13083551 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2395 | 89 |