Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19151675 | C2 | semidirect |
| 3. D4×#10623494 | C2 | semidirect |
| 4. #19151348 | C2 | semidirect |
| 5. #19151327 | C2 | semidirect |
| 6. #19151319 | C2 | semidirect |
| 7. D4⋊C8×C89 | C2 | semidirect |
| 45. D4×C89 | M16 | semidirect |
| 84. C89 | #1586 | semidirect |
| 90. D4⋊C8 | D89 | semidirect |
| 131. D4 | #13083557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13083559 | 2 |
| #19151675 | 2 |
| D4×#10623494 | 2 |
| #19151348 | 2 |
| #19151327 | 2 |
| #19151319 | 2 |
| D4⋊C8×C89 | 2 |
| #1586 | 89 |