C₂×C₄×(C₂×D₁₆₃)⋊C₄ #35216867

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁶×C₄

Aliases

Fitting	C₂²×C₄²×C₁₆₃ ⋊ C₂
Sylow	C₁₆₃ ⋊ C₂×C₄×C₂²⋊C₄

1360 conjugacy classes of subgroups.

μ_t(G) = 10432

5264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 6841);