Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
330 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 330 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. #19151727 | C2 | semidirect |
| 3. #19151726 | C2 | semidirect |
| 4. C8×Dic178 | C2 | semidirect |
| 5. #19151722 | C2 | semidirect |
| 92. C89 | #2986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| #19151727 | 2 |
| #19151726 | 2 |
| C8×Dic178 | 2 |
| #19151722 | 2 |
| #19151659 | 2 |
| #19151656 | 2 |
| #19151648 | 2 |
| #433×C89 | 2 |
| #2986 | 89 |