Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19151367 | C2 | semidirect |
| 4. #19151358 | C2 | semidirect |
| 31. C2×D4×C89 | Q8 | semidirect |
| 82. C89 | #2027 | semidirect |
| 104. C2×D4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19151603 | 2 |
| #19151367 | 2 |
| #19151358 | 2 |
| #390×C89 | 2 |
| #2027 | 89 |