Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
568 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 161 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×C4×Dic178 | C2 | semidirect |
| 2. #19151536 | C2 | semidirect |
| 3. #19151523 | C2 | semidirect |
| 5. #19151510 | C2 | semidirect |
| 6. C4×C22⋊Dic89 | C2 | semidirect |
| 7. #19151444 | C2 | semidirect |
| 97. C89 | #2398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic178 | 2 |
| #19151536 | 2 |
| #19151523 | 2 |
| #19151512 | 2 |
| #19151510 | 2 |
| C4×C22⋊Dic89 | 2 |
| #19151444 | 2 |
| C2×C4×D4×C89 | 2 |
| #2398 | 89 |