Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
290 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 31. C2×Dic178 | Q8 | semidirect |
| 111. C89 | #2024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668011 | 2 |
| C2×#15667937 | 2 |
| C2×#15667935 | 2 |
| #19151503 | 2 |
| #19151360 | 2 |
| #19151352 | 2 |
| #340×C89 | 2 |
| #2024 | 89 |