Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152229 | C2 | semidirect |
| 3. #19151965 | C2 | semidirect |
| 4. #19151959 | C2 | semidirect |
| 5. #19151954 | C2 | semidirect |
| 6. #19151947 | C2 | semidirect |
| 7. #19151607 | C2 | semidirect |
| 10. #19151553 | C2 | semidirect |
| 11. C2×#103×C89 | C2 | semidirect |
| 128. C89 | #3137 | semidirect |
| 138. C2×#103 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19152172 | 2 |
| #19151965 | 2 |
| #19151959 | 2 |
| #19151954 | 2 |
| #19151947 | 2 |
| #19151607 | 2 |
| #19151597 | 2 |
| #19151595 | 2 |
| #19151553 | 2 |
| C2×#103×C89 | 2 |
| #3137 | 89 |