LMFDB - Group of Dirichlet characters

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by $ x^{2} - 2 $

$\times$	$\chi_{ 8 } ( 1, ·)$	$\chi_{ 8 } ( 5, ·)$
$\chi_{ 8 }(1, ·)$	$\chi_{ 8 } ( 1, ·)$	$\chi_{ 8 } ( 5, ·)$
$\chi_{ 8 }(5, ·)$	$\chi_{ 8 } ( 5, ·)$	$\chi_{ 8 } ( 1, ·)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

$\times$	\(\chi_{ 8 } ( 1, ·)\)	\(\chi_{ 8 } ( 5, ·)\)
\(\chi_{ 8 }(1, ·)\)	\(\chi_{ 8 } ( 1, ·)\)	\(\chi_{ 8 } ( 5, ·)\)
\(\chi_{ 8 }(5, ·)\)	\(\chi_{ 8 } ( 5, ·)\)	\(\chi_{ 8 } ( 1, ·)\)