C₂²×D₆₁⋊(C₄⋊C₈) #30625213

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂²×D₆₁⋊(C₄⋊C₈)
unambiguous semidirect product	D₆₁⋊(C₂²×C₄⋊C₈)

C₆₁ ⋊ C₂³×C₄⋊C₈

3870 conjugacy classes of subgroups.

μ_t(G) = 7808

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1114768);