C₂²×#19099551 #35203670

order	20288
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂³×C₄×C₃₁₇ ⋊ C₂
Sylow	C₃₁₇ ⋊ C₂²×C₂²⋊C₄

674 conjugacy classes of subgroups.

μ_t(G) = 10144

5096 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20288, 996);