Finite Group DatabasebetaFinite Group Databasebeta← C4×D3×PSU(3,𝔽2)⋊C3 #72259626
Order 5184.
646 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 646 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|
| Dic3×PSU(3,𝔽2)⋊C3 | 2 |
| C3×C4×PSU(3,𝔽2)⋊C3 | 2 |
| C2×D3×PSU(3,𝔽2)⋊C3 | 2 |
| C4×D3×PSU(3,𝔽2) | 3 |
| C2×C4×PSU(3,𝔽2)⋊C3 | 3 |
| C4×D3×(C3⋊D3)⋊C3 | 4 |
| C4×D3×SL(2,𝔽3) | 9 |