Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#15668059 | C2 | semidirect |
| 2. C2×#15668045 | C2 | semidirect |
| 3. C2×#15668032 | C2 | semidirect |
| 4. #19152179 | C2 | semidirect |
| 5. #19151761 | C2 | semidirect |
| 6. #19151755 | C2 | semidirect |
| 7. #19151744 | C2 | semidirect |
| 8. #19151738 | C2 | semidirect |
| 9. C2×#15667935 | C2 | semidirect |
| 10. #19151566 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 58. C2×Dic178 | D4 | semidirect |
| 87. #41×C89 | D4 | semidirect |
| 170. C89 | #3013 | semidirect |
| 179. #417 | D89 | semidirect |
| 224. #41 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| C2×#15668045 | 2 |
| C2×#15668032 | 2 |
| #19152179 | 2 |
| #19151761 | 2 |
| #19151755 | 2 |
| #19151744 | 2 |
| #19151738 | 2 |
| C2×#15667935 | 2 |
| #19151566 | 2 |
| #417×C89 | 2 |
| #3013 | 89 |