Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
932 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 932 conjugacy classes of subgroups — too many to draw. Only its 114 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×#17989501 | C2 | semidirect |
| 2. #22626156 | C2 | semidirect |
| 3. #22625811 | C2 | semidirect |
| 5. C2×#14556664 | C22 | semidirect |
| 6. C2×#14556662 | C22 | semidirect |
| 160. C22×C73 | #359 | semidirect |
| 187. C73 | #12734 | semidirect |
| 350. C22 | #17989501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989501 | 2 |
| #22626156 | 2 |
| #22625811 | 2 |
| C22×#14556610 | 2 |
| #12734 | 73 |