Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 95. Dic178 | Q16 | semidirect |
| 116. C89 | #3395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152326 | 2 |
| #19152323 | 2 |
| #19151977 | 2 |
| #19151976 | 2 |
| #19151809 | 2 |
| #19151807 | 2 |
| #19151806 | 2 |
| #19151722 | 2 |
| C4×#13083564 | 2 |
| #19151690 | 2 |
| #462×C89 | 2 |
| #3395 | 89 |