C₂×C₄×D₄×#6923 #30624543

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂×C₄×D₄×#6923
unambiguous semidirect product	D₆₁⋊(C₄²×D₄)

Fitting	C₂×C₄×D₄×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂×C₄²×D₄

5694 conjugacy classes of subgroups.

μ_t(G) = 1952

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1114098);