Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 89 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. C22×#13083564 | C2 | semidirect |
| 4. C2×#15667935 | C2 | semidirect |
| 6. #19151353 | C2 | semidirect |
| 7. #391×C89 | C2 | semidirect |
| 126. C89 | #2015 | semidirect |
| 132. #391 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083564 | 2 |
| C22×#13083561 | 2 |
| C2×#15668000 | 2 |
| C2×#15667935 | 2 |
| C2×#15667932 | 2 |
| #19151353 | 2 |
| #391×C89 | 2 |
| #2015 | 89 |