C₂³×D₄×#6923 #30626722

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁵

Aliases

direct product	C₂³×D₄×#6923
unambiguous semidirect product	D₆₁⋊(C₂²×C₄×D₄)

Fitting	C₂³×D₄×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂³×C₄×D₄

19998 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, 1116277);