C₇×C₂²⋊(C₇⋊C₈) #13096107

order	1568
isoclinism	isoclinic class of Dic₁₄
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₈ · Schur multiplier (H₂) = C₂²

Aliases

direct product	C₇×C₂²⋊(C₇⋊C₈)
unambiguous semidirect product	C₂²⋊(C₇×C₇⋊C₈)

C₇² ⋊ C₂²⋊C₈

181 conjugacy classes of subgroups.

μ_t(G) = 112

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1568, 273);