(C₂×D₂₂₅₁)⋊C₄ #49112836

order	36016
automorphism	?
homology	Abelianization (H₁) = C₂×C₄ · Schur multiplier (H₂) = C₂²

Aliases

(C₂×D₂₂₅₁)⋊C₄

Fitting	C₂×C₄×C₂₂₅₁ ⋊ C₂
Sylow	C₂₂₅₁ ⋊ C₂²⋊C₄

34 conjugacy classes of subgroups.

μ_t(G) = 18008

Polycyclic presentation:

2^4,2251|a^2=d,b^a=bc,e^b=e^2250

9010 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36016, 17);