Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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×#15667946 | C2 | semidirect |
| 2. C2×#15667944 | C2 | semidirect |
| 6. #19151464 | C2 | semidirect |
| 7. #336×C89 | C2 | semidirect |
| 100. C89 | #2092 | semidirect |
| 107. #336 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667946 | 2 |
| C2×#15667944 | 2 |
| C2×#15667934 | 2 |
| #19151500 | 2 |
| #19151464 | 2 |
| #336×C89 | 2 |
| #2092 | 89 |