Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
658 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 111 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×#17988918 | C2 | semidirect |
| 4. C2×#17988323 | C2 | semidirect |
| 5. #22608200 | C2 | semidirect |
| 6. #22607773 | C2 | semidirect |
| 235. C73 | #9971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988918 | 2 |
| C2×#17988898 | 2 |
| #22615864 | 2 |
| C2×#17988323 | 2 |
| #22608200 | 2 |
| #22607773 | 2 |
| C2×#327×C73 | 2 |
| #9971 | 73 |