C₂³×#14519856 #30626721

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹³×C₄

Aliases

direct product	C₂³×#14519856
unambiguous semidirect product	D₆₁⋊(C₂²×#117)

Fitting	C₂⁴×C₄×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂³×#117

14334 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, 1116276);