Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
280 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19151909 | C2 | semidirect |
| 2. #19151523 | C2 | semidirect |
| 3. #19151332 | C2 | semidirect |
| 4. #19151322 | C2 | semidirect |
| 6. C2×C4⋊Dic89 | C22 | semidirect |
| 10. C22⋊#10623494 | C22 | semidirect |
| 12. #15667919 | C22 | semidirect |
| 95. C89 | #1607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151909 | 2 |
| #19151523 | 2 |
| #19151332 | 2 |
| #19151322 | 2 |
| #534×C89 | 2 |
| #1607 | 89 |