C₂×C₄×Q₈×#6923 #30624544

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

direct product	C₂×C₄×Q₈×#6923
unambiguous semidirect product	D₆₁⋊(C₄²×Q₈)

Fitting	C₂×C₄×Q₈×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂×C₄²×Q₈

3966 conjugacy classes of subgroups.

μ_t(G) = 3904

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1114099);