Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. C2×#15667947 | C2 | semidirect |
| 3. #19151607 | C2 | semidirect |
| 6. #19151556 | C2 | semidirect |
| 7. C2×#101×C89 | C2 | semidirect |
| 12. C2×#13083561 | C4 | semidirect |
| 107. C89 | #1977 | semidirect |
| 112. C2×#101 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083561 | 2 |
| C2×#15667947 | 2 |
| #19151607 | 2 |
| #19151604 | 2 |
| C2×#15667928 | 2 |
| #19151556 | 2 |
| C2×#101×C89 | 2 |
| #1977 | 89 |