Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
336 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#15667940 | C2 | semidirect |
| 3. C2×#15667939 | C2 | semidirect |
| 4. C2×#15667938 | C2 | semidirect |
| 5. M16×Dic89 | C2 | semidirect |
| 6. C4×#13083553 | C2 | semidirect |
| 7. C2×#104×C89 | C2 | semidirect |
| 10. #15668010 | C4 | semidirect |
| 11. #15668008 | C4 | semidirect |
| 12. #15668001 | C4 | semidirect |
| 13. #15667999 | C4 | semidirect |
| 45. #13083558 | D4 | semidirect |
| 71. M16×C89 | D4 | semidirect |
| 140. Dic89 | #104 | semidirect |
| 149. C89 | #1980 | semidirect |
| 154. C2×#104 | D89 | semidirect |
| 206. M16 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152144 | 2 |
| C2×#15667940 | 2 |
| C2×#15667939 | 2 |
| C2×#15667938 | 2 |
| M16×Dic89 | 2 |
| C4×#13083553 | 2 |
| C2×#104×C89 | 2 |
| #1980 | 89 |