Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
280 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19151560 | C2 | semidirect |
| 3. C22⋊C8×D89 | C2 | semidirect |
| 4. #19151323 | C2 | semidirect |
| 5. #19151323 | C2 | semidirect |
| 6. #19151322 | C2 | semidirect |
| 7. #323×C89 | C2 | semidirect |
| 127. C89 | #1468 | semidirect |
| 134. #323 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667994 | 2 |
| #19151560 | 2 |
| C22⋊C8×D89 | 2 |
| #19151323 | 2 |
| #19151322 | 2 |
| #323×C89 | 2 |
| #1468 | 89 |