C₂³×C₄×#10587739 #31797759

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂³×C₄×#10587739
unambiguous semidirect product	D₁₃₇⋊(C₂²×C₄²)

Fitting	C₂³×C₄×C₁₃₇ ⋊ C₄
derived, Sylow	C₁₃₇ ⋊ C₂³×C₄²

3000 conjugacy classes of subgroups.

μ_t(G) = 4384

1216 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 21480);