Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
256 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 79 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. C2×#15667943 | C2 | semidirect |
| 5. #19151361 | C2 | semidirect |
| 6. #19151360 | C2 | semidirect |
| 7. #340×C89 | C2 | semidirect |
| 117. C89 | #2077 | semidirect |
| 124. #340 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667943 | 2 |
| C2×#15667924 | 2 |
| #19151455 | 2 |
| #19151361 | 2 |
| #19151360 | 2 |
| #340×C89 | 2 |
| #2077 | 89 |