Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
962 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 962 conjugacy classes of subgroups — too many to draw. Only its 139 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×#17985798 | C2 | semidirect |
| 2. C2×#17985796 | C2 | semidirect |
| 3. #22588264 | C2 | semidirect |
| 196. C71 | #12702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17985798 | 2 |
| C2×#17985796 | 2 |
| #22588264 | 2 |
| C2×#536×C71 | 2 |
| #12702 | 71 |