Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
440 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 440 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 |
|---|---|---|
| 3. #22607876 | C2 | semidirect |
| 4. #22607864 | C2 | semidirect |
| 61. C2×Dic146 | M16 | semidirect |
| 80. C4×Dic73 | M16 | semidirect |
| 190. C73 | #11535 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22612643 | 2 |
| #22608269 | 2 |
| #22607876 | 2 |
| #22607864 | 2 |
| C73×#1465 | 2 |
| #11535 | 73 |