Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1342 conjugacy classes of subgroups; only the 230 normal subgroups are shown.
This group has 1342 conjugacy classes of subgroups — too many to draw. Only its 230 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. #22626520 | C2 | semidirect |
| 2. #22625206 | C2 | semidirect |
| 3. #22625186 | C2 | semidirect |
| 4. #22625166 | C2 | semidirect |
| 129. C2×Dic73 | #131 | semidirect |
| 171. C73 | #17419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626520 | 2 |
| #22625206 | 2 |
| #22625186 | 2 |
| #22625166 | 2 |
| C2×#17989256 | 2 |
| #17419 | 73 |