Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
612 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#15667926 | C2 | semidirect |
| 3. #19151461 | C2 | semidirect |
| 4. #381×C89 | C2 | semidirect |
| 8. C22×Dic178 | C4 | semidirect |
| 9. C22×D356 | C4 | semidirect |
| 11. C22×C4×D89 | C4 | semidirect |
| 94. C89 | #1782 | semidirect |
| 98. #381 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083574 | 2 |
| C2×#15667926 | 2 |
| #19151461 | 2 |
| #381×C89 | 2 |
| #1782 | 89 |