Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 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 |
|---|---|---|
| 1. #19152320 | C2 | semidirect |
| 2. #19151991 | C2 | semidirect |
| 4. #19151820 | C2 | semidirect |
| 6. #19151807 | C2 | semidirect |
| 7. #19151728 | C2 | semidirect |
| 8. #19151697 | C2 | semidirect |
| 9. C4×Q16×C89 | C2 | semidirect |
| 103. C89 | #3402 | semidirect |
| 112. C4×Q16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152320 | 2 |
| #19151991 | 2 |
| #19151982 | 2 |
| #19151820 | 2 |
| #19151816 | 2 |
| #19151807 | 2 |
| #19151728 | 2 |
| #19151697 | 2 |
| C4×Q16×C89 | 2 |
| #3402 | 89 |