Finite Group DatabasebetaFinite Group Databasebeta← C4×C5×((C3⋊D3)⋊C3)⋊C2 #72219452
Order 2160.
410 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 98 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×((C3⋊D3)⋊C3)⋊C2 | 2 |
| C4×C5×#272 | 2 |
| C4×C5×(C3⋊D3)⋊C3 | 2 |
| C5×#6199 | 2 |
| C5×((C3⋊D3)⋊C3)⋊C4 | 2 |
| C4×C5×D32 | 3 |
| C4×((C3⋊D3)⋊C3)⋊C2 | 5 |