Finite Group DatabasebetaFinite Group Databasebeta← C3×C5×C3⋊#10621730 #44478236
Order 30420.
148 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|
| C32×C5×C13×D13 | 2 |
| C5×C3⋊#10621730 | 3 |
| C3×C5×#10621730 | 3 |
| C3×C3⋊#10621730 | 5 |
| C3×C5×C3⋊#261 | 13 |
| C3×C5×Dic39 | 13 |