C₅×#65820 #13106641

order	1600
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₅ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	C₂×C₅²×C₂²⋊C₄ ⋊ C₂
Sylow	C₅² ⋊ #518

808 conjugacy classes of subgroups.

μ_t(G) = 80

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1600, 8993);