Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 5. C22×Dic178 | C4 | semidirect |
| 11. C2×C4⋊Dic89 | C4 | semidirect |
| 12. C2×#13083553 | C4 | semidirect |
| 44. C22⋊C4×C89 | Q8 | semidirect |
| 104. C89 | #1996 | semidirect |
| 148. C22⋊C4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| #19151458 | 2 |
| #19151364 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #1996 | 89 |