C₂²×(C₂²⋊D₁₆₃)⋊C₄ #35227704

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

Fitting	C₂²×C₂²⋊C₄×C₁₆₃ ⋊ C₂
Sylow	C₁₆₃ ⋊ C₂²×C₄×D₄

2528 conjugacy classes of subgroups.

μ_t(G) = 10432

3320 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 17678);