Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19151928 | C2 | semidirect |
| 4. #19151905 | C2 | semidirect |
| 5. #19151820 | C2 | semidirect |
| 6. #19151754 | C2 | semidirect |
| 8. C4×#13083564 | C2 | semidirect |
| 9. C4×#13083561 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 11. C2×C4×Q8×C89 | C2 | semidirect |
| 132. C89 | #3108 | semidirect |
| 134. C2×C4×Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151928 | 2 |
| #19151911 | 2 |
| #19151905 | 2 |
| #19151820 | 2 |
| #19151754 | 2 |
| #19151737 | 2 |
| C4×#13083564 | 2 |
| C4×#13083561 | 2 |
| #19151651 | 2 |
| C2×C4×Q8×C89 | 2 |
| #3108 | 89 |