Finite Group DatabasebetaFinite Group Databasebeta← C22×(C3⋊D3)⋊H(3,𝔽3) #14518464
Order 1944.
999 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 999 conjugacy classes of subgroups — too many to draw. Only its 162 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 |
|---|---|
| C22×C32⋊H(3,𝔽3) | 2 |
| C2×(C3⋊D3)⋊H(3,𝔽3) | 2 |
| C22×C32×C3⋊D3 | 3 |
| C22×D3×H(3,𝔽3) | 3 |
| C22×C3×(C3⋊D3)⋊C3 | 3 |