Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
224 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 12. #15667947 | C4 | semidirect |
| 13. #15667945 | C4 | semidirect |
| 14. #15667943 | C4 | semidirect |
| 16. #15667922 | C4 | semidirect |
| 80. C89 | #1773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667947 | 2 |
| #19151634 | 2 |
| #19151553 | 2 |
| C2×#15667922 | 2 |
| #19151359 | 2 |
| #19151357 | 2 |
| #405×C89 | 2 |
| #1773 | 89 |