C₂³×D₆₁⋊M₁₆ #30626738

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

direct product	C₂³×D₆₁⋊M₁₆
unambiguous semidirect product	D₆₁⋊(C₂³×M₁₆)

C₆₁ ⋊ C₂⁴×M₁₆

13310 conjugacy classes of subgroups.

μ_t(G) = 3904

1120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1116293);