Finite Group DatabasebetaFinite Group Databasebeta← C2×C5×(C13⋊C9)⋊D13 #44477706
Order 30420.
200 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|
| C2×C5×C13×C13⋊C9 | 2 |
| C5×(C13⋊C9)⋊D13 | 2 |
| C2×C3×C5×C13⋊D13 | 3 |
| C2×(C13⋊C9)⋊D13 | 5 |
| C2×C5×C9×D13 | 13 |
| C2×C5×D13⋊C9 | 13 |