Finite Group Databasebeta

?

← C₂²×B(5,𝔽₂) #72275381

Subgroups — C₂²×B(5,𝔽₂) #72275381

Order 4096.

Only the 5339 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 343 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.