Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
310 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 8. #17985781 | C4 | semidirect |
| 14. #349×C71 | C4 | semidirect |
| 133. C71 | #7194 | semidirect |
| 142. #349 | Dic71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17985781 | 2 |
| #22588038 | 2 |
| C2×#349×C71 | 2 |
| #7194 | 71 |