Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19151621 | C2 | semidirect |
| 3. C2×#15667940 | C2 | semidirect |
| 4. C2×#15667939 | C2 | semidirect |
| 5. C2×#15667938 | C2 | semidirect |
| 6. C42×Dic89 | C2 | semidirect |
| 7. C2×#104×C89 | C2 | semidirect |
| 10. #15668010 | C4 | semidirect |
| 11. #15668008 | C4 | semidirect |
| 12. #15668001 | C4 | semidirect |
| 13. #15667999 | C4 | semidirect |
| 49. C4×Dic89 | D4 | semidirect |
| 64. C42×C89 | D4 | semidirect |
| 119. Dic89 | #104 | semidirect |
| 127. C89 | #1962 | semidirect |
| 133. C2×#104 | D89 | semidirect |
| 191. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152144 | 2 |
| #19151621 | 2 |
| C2×#15667940 | 2 |
| C2×#15667939 | 2 |
| C2×#15667938 | 2 |
| C42×Dic89 | 2 |
| C2×#104×C89 | 2 |
| #1962 | 89 |