Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152145 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151973 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151835 | C2 | semidirect |
| 6. #19151833 | C2 | semidirect |
| 7. #19151831 | C2 | semidirect |
| 8. C4×D712 | C2 | semidirect |
| 9. C4×#13083559 | C2 | semidirect |
| 10. C4×C8×D89 | C2 | semidirect |
| 11. C4×D8×C89 | C2 | semidirect |
| 96. C4×D89 | D8 | semidirect |
| 99. C8×C89 | #41 | semidirect |
| 101. #10623494 | #41 | semidirect |
| 128. C89 | #3169 | semidirect |
| 138. C4×D8 | D89 | semidirect |
| 229. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152145 | 2 |
| #19152002 | 2 |
| #19151973 | 2 |
| #19151943 | 2 |
| #19151835 | 2 |
| #19151833 | 2 |
| #19151831 | 2 |
| C4×D712 | 2 |
| C4×#13083559 | 2 |
| C4×C8×D89 | 2 |
| C4×D8×C89 | 2 |
| #3169 | 89 |