Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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×#15668011 | C2 | semidirect |
| 3. #19152006 | C2 | semidirect |
| 4. #19151956 | C2 | semidirect |
| 5. #19151929 | C2 | semidirect |
| 6. #19151928 | C2 | semidirect |
| 8. #19151892 | C2 | semidirect |
| 9. #19151886 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 129. C89 | #3238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668011 | 2 |
| #19152129 | 2 |
| #19152006 | 2 |
| #19151956 | 2 |
| #19151929 | 2 |
| #19151928 | 2 |
| #19151909 | 2 |
| #19151892 | 2 |
| #19151886 | 2 |
| #19151652 | 2 |
| #480×C89 | 2 |
| #3238 | 89 |