M₁₆×#683 #12097293

order	1280
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

C₅ ⋊ C₄⋊C₄×M₁₆

1242 conjugacy classes of subgroups.

μ_t(G) = 640

260 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 167561);