C₂²⋊C₄×D₆₅₃ #35229677

order	20896
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁴

Aliases

C₂²⋊C₄×D₆₅₃

Fitting	C₂²⋊C₄×C₆₅₃ ⋊ C₂
Sylow	C₆₅₃ ⋊ C₂×C₂²⋊C₄

132 conjugacy classes of subgroups.

μ_t(G) = 5224

3280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20896, 96);