(C₂²⋊D₁₀₈₇)⋊C₄ #46852148

order	34784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

(C₂²⋊D₁₀₈₇)⋊C₄

Fitting	C₂²⋊C₄×C₁₀₈₇ ⋊ C₂
Sylow	C₁₀₈₇ ⋊ C₄×D₄

94 conjugacy classes of subgroups.

μ_t(G) = 17392

Polycyclic presentation:

2^5,1087|a^2=e,c^2=e,b^a=bd,f^c=f^1086

5450 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34784, 106);