Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
382 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 71 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×#15667927 | C2 | semidirect |
| 2. #19151478 | C2 | semidirect |
| 3. #19151470 | C2 | semidirect |
| 4. #19151365 | C2 | semidirect |
| 30. C22⋊Dic89 | D4 | semidirect |
| 117. C89 | #2044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667927 | 2 |
| #19151478 | 2 |
| #19151470 | 2 |
| #19151365 | 2 |
| #534×C89 | 2 |
| #2044 | 89 |