C₂×C₄²×#10587739 #31797214

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂×C₄³ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

direct product	C₂×C₄²×#10587739
unambiguous semidirect product	D₁₃₇⋊C₄³

Fitting	C₂×C₄²×C₁₃₇ ⋊ C₄
derived, Sylow	C₁₃₇ ⋊ C₂×C₄³

1272 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, 20935);