Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #19151502 | C2 | semidirect |
| 3. #19151492 | C2 | semidirect |
| 4. #19151486 | C2 | semidirect |
| 6. #19151471 | C2 | semidirect |
| 7. #19151470 | C2 | semidirect |
| 8. #19151462 | C2 | semidirect |
| 12. #15667999 | C4 | semidirect |
| 34. C2×Dic178 | C2×C4 | semidirect |
| 46. C22⋊Dic89 | C2×C4 | semidirect |
| 47. C22⋊Dic89 | C2×C4 | semidirect |
| 49. C4×Dic89 | C2×C4 | semidirect |
| 128. C89 | #2379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667999 | 2 |
| #19151502 | 2 |
| #19151492 | 2 |
| #19151486 | 2 |
| #19151478 | 2 |
| #19151471 | 2 |
| #19151470 | 2 |
| #19151462 | 2 |
| #386×C89 | 2 |
| #2379 | 89 |