Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
336 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 13. #17985741 | C4 | semidirect |
| 14. #17985741 | C4 | semidirect |
| 15. #17985741 | C4 | semidirect |
| 104. C71 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22597446 | 2 |
| #22587105 | 2 |
| #22586935 | 2 |
| #22586233 | 2 |
| C71×#1995 | 2 |
| #8919 | 71 |