Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
644 conjugacy classes of subgroups; only the 201 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 201 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×#15668010 | C2 | semidirect |
| 4. #19151505 | C2 | semidirect |
| 5. #19151503 | C2 | semidirect |
| 6. #19151493 | C2 | semidirect |
| 7. #19151467 | C2 | semidirect |
| 36. C22×Dic89 | Q8 | semidirect |
| 99. C22×C89 | C4⋊Q8 | semidirect |
| 112. Dic89 | C22⋊Q8 | semidirect |
| 120. C89 | #2857 | semidirect |
| 219. C22 | #15668010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668010 | 2 |
| C2×#15667991 | 2 |
| C22×C4×Dic89 | 2 |
| #19151505 | 2 |
| #19151503 | 2 |
| #19151493 | 2 |
| #19151467 | 2 |
| #19151456 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2857 | 89 |