Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
800 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 197 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×#15668010 | C2 | semidirect |
| 3. #19151518 | C2 | semidirect |
| 4. #19151503 | C2 | semidirect |
| 36. C22⋊Dic89 | Q8 | semidirect |
| 71. C2×Dic89 | C2×Q8 | semidirect |
| 77. C22×C89 | C4⋊Q8 | semidirect |
| 94. C89 | #2434 | semidirect |
| 171. C22 | #15668010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic178 | 2 |
| C2×#15668010 | 2 |
| #19151518 | 2 |
| #19151503 | 2 |
| #19151470 | 2 |
| C4×C22⋊Dic89 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2434 | 89 |