Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
970 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 970 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 2. #22598471 | C2 | semidirect |
| 4. #22587333 | C2 | semidirect |
| 5. #22587299 | C2 | semidirect |
| 6. #22586853 | C2 | semidirect |
| 193. C71 | #18181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22602143 | 2 |
| #22598471 | 2 |
| #22591624 | 2 |
| #22587333 | 2 |
| #22587299 | 2 |
| #22586853 | 2 |
| C71×#1466 | 2 |
| #18181 | 71 |