C₂×C₄×D₇×C₁₆ #13506417

order	1792
isoclinism	isoclinic class of D₇
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₁₆ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₂×C₄×D₇×C₁₆

Fitting	C₂×C₄×C₇×C₁₆ ⋊ C₂
derived, Sylow	C₇ ⋊ C₂²×C₄×C₁₆

1022 conjugacy classes of subgroups.

μ_t(G) = 896

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 322189);