Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
456 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 153 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. #19151540 | C2 | semidirect |
| 2. #19151532 | C2 | semidirect |
| 3. #19151482 | C2 | semidirect |
| 4. #19151482 | C2 | semidirect |
| 109. C89 | #2569 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151540 | 2 |
| #19151532 | 2 |
| #19151482 | 2 |
| #19151470 | 2 |
| #19151458 | 2 |
| #19151456 | 2 |
| C2×#15667919 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2569 | 89 |