C₂×C₄×D₇×Q₁₆ #14217808

order	1792
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

C₂×C₄×D₇×Q₁₆

Fitting	C₂×C₄×C₇×Q₁₆ ⋊ C₂
Sylow	C₇ ⋊ C₂²×C₄×Q₁₆

2830 conjugacy classes of subgroups.

μ_t(G) = 896

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 1033580);