C₂×C₅×(C₂×AGL(1,𝔽₅))⋊C₄ #13104522

order	1600
isoclinism	isoclinic class of #700
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₅ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×C₅×(C₂×AGL(1,𝔽₅))⋊C₄
unambiguous semidirect product	D₅⋊(C₅×#95)

Fitting	C₂²×C₄×C₅² ⋊ C₄
Sylow	C₅² ⋊ C₂×#95

687 conjugacy classes of subgroups.

μ_t(G) = 320

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1600, 6874);