Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
500 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 184. C71 | #10087 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17986405 | 2 |
| #22596407 | 2 |
| #22589161 | 2 |
| C2×#17985741 | 2 |
| C2×#17985740 | 2 |
| #22586222 | 2 |
| C2×#501×C71 | 2 |
| #10087 | 71 |