Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19151908 | C2 | semidirect |
| 4. #19151904 | C2 | semidirect |
| 5. #19151892 | C2 | semidirect |
| 6. #19151882 | C2 | semidirect |
| 44. C2×Dic178 | Q8 | semidirect |
| 117. C89 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19152075 | 2 |
| #19151908 | 2 |
| #19151904 | 2 |
| #19151892 | 2 |
| #19151882 | 2 |
| #19151641 | 2 |
| #19151624 | 2 |
| #19151606 | 2 |
| C2×#15667937 | 2 |
| #427×C89 | 2 |
| #3082 | 89 |