Finite Group DatabasebetaFinite Group DatabasebetaOrder 9408.
990 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 990 conjugacy classes of subgroups — too many to draw. Only its 102 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.
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72246186 | 2 |
| C7×ΓL(1,𝔽8)×#99 | 2 |
| #72246179 | 2 |
| #72246148 | 3 |
| #72246045 | 2 |
| #72246042 | 2 |
| C3×#89513 | 7 |
| #89513⋊C3 | 7 |