Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
186 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. #19151996 | C2 | semidirect |
| 2. #19151978 | C2 | semidirect |
| 3. #19151949 | C2 | semidirect |
| 7. #322×C89 | C2 | semidirect |
| 69. C89 | #1720 | semidirect |
| 76. #322 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151996 | 2 |
| #19151978 | 2 |
| #19151949 | 2 |
| #19151945 | 2 |
| #322×C89 | 2 |
| #1720 | 89 |