Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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 |
|---|---|---|
| 1. C2×#15668041 | C2 | semidirect |
| 2. Q8×D356 | C2 | semidirect |
| 4. #19151978 | C2 | semidirect |
| 5. #19151857 | C2 | semidirect |
| 6. #19151808 | C2 | semidirect |
| 7. #19151803 | C2 | semidirect |
| 8. #19151761 | C2 | semidirect |
| 9. #19151755 | C2 | semidirect |
| 10. #19151677 | C2 | semidirect |
| 11. C4×SD16×C89 | C2 | semidirect |
| 73. SD16×C89 | D4 | semidirect |
| 123. C4×C89 | #137 | semidirect |
| 135. C89 | #3276 | semidirect |
| 145. C4×SD16 | D89 | semidirect |
| 196. SD16 | D356 | semidirect |
| 261. C4 | #15668041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668041 | 2 |
| Q8×D356 | 2 |
| #19152252 | 2 |
| #19151978 | 2 |
| #19151857 | 2 |
| #19151808 | 2 |
| #19151803 | 2 |
| #19151761 | 2 |
| #19151755 | 2 |
| #19151677 | 2 |
| C4×SD16×C89 | 2 |
| #3276 | 89 |