Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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×#15668010 | C2 | semidirect |
| 5. #19151807 | C2 | semidirect |
| 6. #19151802 | C2 | semidirect |
| 7. #19151621 | C2 | semidirect |
| 8. #19151606 | C2 | semidirect |
| 9. #419×C89 | C2 | semidirect |
| 116. Dic89 | #137 | semidirect |
| 122. C89 | #3039 | semidirect |
| 131. #419 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| C2×#15668043 | 2 |
| C2×#15668010 | 2 |
| #19152066 | 2 |
| #19151807 | 2 |
| #19151802 | 2 |
| #19151621 | 2 |
| #19151606 | 2 |
| #419×C89 | 2 |
| #3039 | 89 |