Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
228 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19151929 | C2 | semidirect |
| 4. #19151336 | C2 | semidirect |
| 84. C89 | #1608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152224 | 2 |
| #19151929 | 2 |
| #19151523 | 2 |
| #19151336 | 2 |
| #323×C89 | 2 |
| #1608 | 89 |