Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
464 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 149 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. #19151537 | C2 | semidirect |
| 3. #19151528 | C2 | semidirect |
| 5. #19151505 | C2 | semidirect |
| 6. #19151494 | C2 | semidirect |
| 98. C89 | #2625 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667971 | 2 |
| #19151537 | 2 |
| #19151528 | 2 |
| #19151526 | 2 |
| #19151505 | 2 |
| #19151494 | 2 |
| #19151458 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2625 | 89 |