Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152000 | C2 | semidirect |
| 3. #19151938 | C2 | semidirect |
| 4. #19151932 | C2 | semidirect |
| 5. #19151905 | C2 | semidirect |
| 6. #19151853 | C2 | semidirect |
| 8. #19151639 | C2 | semidirect |
| 9. C4×Q16×C89 | C2 | semidirect |
| 97. C89 | #3352 | semidirect |
| 104. C4×Q16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152289 | 2 |
| #19152000 | 2 |
| #19151938 | 2 |
| #19151932 | 2 |
| #19151905 | 2 |
| #19151853 | 2 |
| #19151677 | 2 |
| #19151639 | 2 |
| C4×Q16×C89 | 2 |
| #3352 | 89 |