Finite Group DatabasebetaFinite Group Databasebeta← C3⋊D3×C22⋊AGL(1,𝔽5) #13088689
Order 1440.
792 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 116 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×D5×C3⋊D3 | 2 |
| C2×C3⋊D3×AGL(1,𝔽5) | 2 |
| #10624098 | 2 |
| C32×C22⋊AGL(1,𝔽5) | 2 |
| (C2×AGL(1,𝔽5))⋊(C3⋊D3) | 2 |
| D3×C22⋊AGL(1,𝔽5) | 3 |
| C22⋊C4×C3⋊D3 | 5 |