Finite Group Databasebeta

← Group #13164560

Character table — Group #13164560

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111133333333333333333366666666666666666666666666666666666666363636363636363636363636363636363636363636363636969696969696
order123366222222666666666666223666666666666666666666666666666666664444444412121212121212121212121212121212333666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ31-111-1-1111-1-1-1111111-1-1-1-1-1-11-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiii−i−i−iii−i−iiiiiii−i−i−i−i−i−i111-1-1-1
χ41-111-1-1111-1-1-1111111-1-1-1-1-1-11-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−iiii−i−iii−i−i−i−i−i−iiiiiii111-1-1-1
χ522222222222222222222222222222222222222222222222222222222222222000000000000000000000000-1-1-1-1-1-1
χ622222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002-1-12-1-1
χ722222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-12-1-12-1
χ822222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-1-12-1-12
χ92-222-2-2222-2-2-2222222-2-2-2-2-2-22-2222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1111
χ102-222-2-2222-2-2-2222222-2-2-2-2-2-22-2-122-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000002-1-1-211
χ112-222-2-2222-2-2-2222222-2-2-2-2-2-22-2-122-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-12-11-21
χ122-222-2-2222-2-2-2222222-2-2-2-2-2-22-2-122-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-1-1211-2
χ133333333-1-13-1-133-1-1-1-133-1-1-1-1-1-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-1000000
χ143333333-1-13-1-133-1-1-1-133-1-1-1-1-1-13-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-11111000000
χ15333333-13-1-13-1-1-133-1-1-1-133-1-1-1-13-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-13-1-1-1333-1-1-1-1-1-1-1-1-111-11-1-11-11111-1-111-1-1-1-111-1-1000000
χ16333333-13-1-13-1-1-133-1-1-1-133-1-1-1-13-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-13-1-1-1333-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-11111-1-111000000
χ17333333-1-13-1-13-1-1-1-133-1-1-1-133-1-13-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-13-1-1-1-1-1-1333-1-1-1-1-1-111-1-11-1-111111-1-1-1-111-1-1-1-111000000
χ18333333-1-13-1-13-1-1-1-133-1-1-1-133-1-13-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-13-1-1-1-1-1-1333-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1000000
χ1933−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32330−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000011111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000
χ2033−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32330−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000
χ2133−3−3i32−3+3i32−3−3i32−3+3i323-1-13-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32-1-101+i321−i321+i321−i320002−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i300002−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32000000
χ2233−3−3i32−3+3i32−3−3i32−3+3i323-1-13-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32-1-101+i321−i321+i321−i320002−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i300002−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-1-1-111-1111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000
χ2333−3−3i32−3+3i32−3−3i32−3+3i32-13-1-13-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32-1-101+i321−i321+i321−i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i302−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i311-11-1-11-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32000000
χ2433−3−3i32−3+3i32−3−3i32−3+3i32-13-1-13-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32-1-101+i321−i321+i321−i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i302−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-11-111-111+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32000000
χ2533−3−3i32−3+3i32−3−3i32−3+3i32-1-13-1-131+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-101+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i3000−1+i3−1−i3−1+i32−1−i3202−1−i3−1+i32−1−i3−1+i3000−1+i3−1−i3−1+i32−1−i3211-1-11-1-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32000000
χ2633−3−3i32−3+3i32−3−3i32−3+3i32-1-13-1-131+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-101+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i3000−1+i3−1−i3−1+i32−1−i3202−1−i3−1+i32−1−i3−1+i3000−1+i3−1−i3−1+i32−1−i32-1-111-111-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32000000
χ2733−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32330−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000011111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000
χ2833−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32330−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000
χ2933−3+3i32−3−3i32−3+3i32−3−3i323-1-13-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32-1-101−i321+i321−i321+i320002−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i300002−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32000000
χ3033−3+3i32−3−3i32−3+3i32−3−3i323-1-13-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32-1-101−i321+i321−i321+i320002−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i300002−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-1-1-111-1111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000
χ3133−3+3i32−3−3i32−3+3i32−3−3i32-13-1-13-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32-1-101−i321+i321−i321+i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i302−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i311-11-1-11-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32000000
χ3233−3+3i32−3−3i32−3+3i32−3−3i32-13-1-13-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32-1-101−i321+i321−i321+i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i302−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-11-111-111−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32000000
χ3333−3+3i32−3−3i32−3+3i32−3−3i32-1-13-1-131−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-101−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i3000−1−i3−1+i3−1−i32−1+i3202−1+i3−1−i32−1+i3−1−i3000−1−i3−1+i3−1−i32−1+i3211-1-11-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32000000
χ3433−3+3i32−3−3i32−3+3i32−3−3i32-1-13-1-131−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-101−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i3000−1−i3−1+i3−1−i32−1+i3202−1+i3−1−i32−1+i3−1−i3000−1−i3−1+i3−1−i32−1+i32-1-111-111-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32000000
χ353-333-3-33-1-1-31133-1-1-1-1-3-31111-113-1-111333-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3111111111111i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii000000
χ363-333-3-33-1-1-31133-1-1-1-1-3-31111-113-1-111333-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3111111111111−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i000000
χ373-333-3-3-13-11-31-1-133-1-111-3-311-113-1-111-1-1-1333-1-1-1-1-1-1-1-1-1-3111-3-3-3111111111i−i−ii−ii−iiii−i−i−i−iii−i−iii−i−iii000000
χ383-333-3-3-13-11-31-1-133-1-111-3-311-113-1-111-1-1-1333-1-1-1-1-1-1-1-1-1-3111-3-3-3111111111−iii−ii−ii−i−i−iiiii−i−iii−i−iii−i−i000000
χ393-333-3-3-1-1311-3-1-1-1-1331111-3-3-113-1-111-1-1-1-1-1-1333-1-1-1-1-1-1-3111111-3-3-3111111i−i−i−iiii−iii−i−i−i−i−i−iiiiiii−i−i000000
χ403-333-3-3-1-1311-3-1-1-1-1331111-3-3-113-1-111-1-1-1-1-1-1333-1-1-1-1-1-1-3111111-3-3-3111111−iiii−i−i−ii−i−iiiiiii−i−i−i−i−i−iii000000
χ413-3−3−3i32−3+3i323+3i323−3i32333-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323-30−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000i−iiii−i−i−iζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7000000
χ423-3−3−3i32−3+3i323+3i323−3i32333-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323-30−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000−ii−i−i−iiii−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7000000
χ433-3−3−3i32−3+3i323+3i323−3i323-1-1-311−3−3i32−3+3i321+i321−i321+i321−i323+3i323−3i32−1−i32−1+i32−1−i32−1+i32-1101+i321−i32−1−i32−1+i320002−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i30000-21+i31−i3-21+i31−i3-2-21+i31+i31−i31−i3i−ii−i−i−iiiζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7000000
χ443-3−3−3i32−3+3i323+3i323−3i323-1-1-311−3−3i32−3+3i321+i321−i321+i321−i323+3i323−3i32−1−i32−1+i32−1−i32−1+i32-1101+i321−i32−1−i32−1+i320002−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i30000-21+i31−i3-21+i31−i3-2-21+i31+i31−i31−i3−ii−iiii−i−i−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7000000
χ453-3−3−3i32−3+3i323+3i323−3i32-13-11-311+i321−i32−3−3i32−3+3i321+i321−i32−1−i32−1+i323+3i323−3i32−1−i32−1+i32-1101+i321−i32−1−i32−1+i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30-21+i31−i3000-21+i31−i31+i31−i3-21−i3-21+i3i−i−ii−ii−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7000000
χ463-3−3−3i32−3+3i323+3i323−3i32-13-11-311+i321−i32−3−3i32−3+3i321+i321−i32−1−i32−1+i323+3i323−3i32−1−i32−1+i32-1101+i321−i32−1−i32−1+i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30-21+i31−i3000-21+i31−i31+i31−i3-21−i3-21+i3−iii−ii−ii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7000000
χ473-3−3−3i32−3+3i323+3i323−3i32-1-1311-31+i321−i321+i321−i32−3−3i32−3+3i32−1−i32−1+i32−1−i32−1+i323+3i323−3i32-1101+i321−i32−1−i32−1+i322−1−i3−1+i32−1−i3−1+i3000−1+i3−1−i3−1+i32−1−i320-21+i31−i3-21+i31−i30001−i31+i31−i3-21+i3-2i−i−i−iiii−iζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7000000
χ483-3−3−3i32−3+3i323+3i323−3i32-1-1311-31+i321−i321+i321−i32−3−3i32−3+3i32−1−i32−1+i32−1−i32−1+i323+3i323−3i32-1101+i321−i32−1−i32−1+i322−1−i3−1+i32−1−i3−1+i3000−1+i3−1−i3−1+i32−1−i320-21+i31−i3-21+i31−i30001−i31+i31−i3-21+i3-2−iiii−i−i−ii−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7000000
χ493-3−3+3i32−3−3i323−3i323+3i32333-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323-30−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000i−iiii−i−i−iζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11000000
χ503-3−3+3i32−3−3i323−3i323+3i32333-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323-30−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000−ii−i−i−iiii−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11000000
χ513-3−3+3i32−3−3i323−3i323+3i323-1-1-311−3+3i32−3−3i321−i321+i321−i321+i323−3i323+3i32−1+i32−1−i32−1+i32−1−i32-1101−i321+i32−1+i32−1−i320002−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i30000-21−i31+i3-21−i31+i3-2-21−i31−i31+i31+i3i−ii−i−i−iiiζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11000000
χ523-3−3+3i32−3−3i323−3i323+3i323-1-1-311−3+3i32−3−3i321−i321+i321−i321+i323−3i323+3i32−1+i32−1−i32−1+i32−1−i32-1101−i321+i32−1+i32−1−i320002−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i30000-21−i31+i3-21−i31+i3-2-21−i31−i31+i31+i3−ii−iiii−i−i−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11000000
χ533-3−3+3i32−3−3i323−3i323+3i32-13-11-311−i321+i32−3+3i32−3−3i321−i321+i32−1+i32−1−i323−3i323+3i32−1+i32−1−i32-1101−i321+i32−1+i32−1−i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30-21−i31+i3000-21−i31+i31−i31+i3-21+i3-21−i3i−i−ii−ii−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11000000
χ543-3−3+3i32−3−3i323−3i323+3i32-13-11-311−i321+i32−3+3i32−3−3i321−i321+i32−1+i32−1−i323−3i323+3i32−1+i32−1−i32-1101−i321+i32−1+i32−1−i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30-21−i31+i3000-21−i31+i31−i31+i3-21+i3-21−i3−iii−ii−ii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11000000
χ553-3−3+3i32−3−3i323−3i323+3i32-1-1311-31−i321+i321−i321+i32−3+3i32−3−3i32−1+i32−1−i32−1+i32−1−i323−3i323+3i32-1101−i321+i32−1+i32−1−i322−1+i3−1−i32−1+i3−1−i3000−1−i3−1+i3−1−i32−1+i320-21−i31+i3-21−i31+i30001+i31−i31+i3-21−i3-2i−i−i−iiii−iζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11000000
χ563-3−3+3i32−3−3i323−3i323+3i32-1-1311-31−i321+i321−i321+i32−3+3i32−3−3i32−1+i32−1−i32−1+i32−1−i323−3i323+3i32-1101−i321+i32−1+i32−1−i322−1+i3−1−i32−1+i3−1−i3000−1−i3−1+i3−1−i32−1+i320-21−i31+i3-21−i31+i30001+i31−i31+i3-21−i3-2−iiii−i−i−ii−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11000000
χ576666666-2-26-2-266-2-2-2-266-2-2-2-2-2-2-3-2-2-2-2-3-3-3111111111111-3-3-3-3111111111111000000000000000000000000000000
χ58666666-26-2-26-2-2-266-2-2-2-266-2-2-2-2-3-2-2-2-2111-3-3-3111111111-3111-3-3-3111111111000000000000000000000000000000
χ59666666-2-26-2-26-2-2-2-266-2-2-2-266-2-2-3-2-2-2-2111111-3-3-3111111-3111111-3-3-3111111000000000000000000000000000000
χ60666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22262222-2-2-2-2-2-2-2-2-22222226-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000
χ61666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-32222111111111−1−2i3−1+2i3−1+2i3−1−2i3−1−2i3−1+2i3-3111111111−1−2i3−1+2i3−1+2i3−1−2i3−1−2i3−1+2i3000000000000000000000000000000
χ62666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-32222111111111−1+2i3−1−2i3−1−2i3−1+2i3−1+2i3−1−2i3-3111111111−1+2i3−1−2i3−1−2i3−1+2i3−1+2i3−1−2i3000000000000000000000000000000
χ6366−3−3i3−3+3i3−3−3i3−3+3i36-2-26-2-2−3−3i3−3+3i31+i31−i31+i31−i3−3−3i3−3+3i31+i31−i31+i31−i3-2-201+i31−i31+i31−i3000-21+i31−i3-21+i31−i3-2-21+i31+i31−i31−i30000-21+i31−i3-21+i31−i3-2-21+i31+i31−i31−i3000000000000000000000000000000
χ6466−3−3i3−3+3i3−3−3i3−3+3i3-26-2-26-21+i31−i3−3−3i3−3+3i31+i31−i31+i31−i3−3−3i3−3+3i31+i31−i3-2-201+i31−i31+i31−i3-21+i31−i3000-21+i31−i31+i31−i3-21−i3-21+i30-21+i31−i3000-21+i31−i31+i31−i3-21−i3-21+i3000000000000000000000000000000
χ6566−3−3i3−3+3i3−3−3i3−3+3i3-2-26-2-261+i31−i31+i31−i3−3−3i3−3+3i31+i31−i31+i31−i3−3−3i3−3+3i3-2-201+i31−i31+i31−i3-21+i31−i3-21+i31−i30001−i31+i31−i3-21+i3-20-21+i31−i3-21+i31−i30001−i31+i31−i3-21+i3-2000000000000000000000000000000
χ6666−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i31+i31−i31+i31−i3220−1−i3−1+i3−1−i3−1+i34−2−2i3−2+2i3-21+i31−i3-21+i31−i322−1−i3−1−i3−1+i3−1+i304−2−2i3−2+2i3-21+i31−i3-21+i31−i322−1−i3−1−i3−1+i3−1+i3000000000000000000000000000000
χ6766−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i31+i31−i31+i31−i3220−1−i3−1+i3−1−i3−1+i3-21+i31−i34−2−2i3−2+2i3-21+i31−i3−1−i3−1+i32−1+i32−1−i30-21+i31−i34−2−2i3−2+2i3-21+i31−i3−1−i3−1+i32−1+i32−1−i3000000000000000000000000000000
χ6866−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i31+i31−i31+i31−i3220−1−i3−1+i3−1−i3−1+i3-21+i31−i3-21+i31−i34−2−2i3−2+2i3−1+i3−1−i3−1+i32−1−i320-21+i31−i3-21+i31−i34−2−2i3−2+2i3−1+i3−1−i3−1+i32−1−i32000000000000000000000000000000
χ6966−3+3i3−3−3i3−3+3i3−3−3i36-2-26-2-2−3+3i3−3−3i31−i31+i31−i31+i3−3+3i3−3−3i31−i31+i31−i31+i3-2-201−i31+i31−i31+i3000-21−i31+i3-21−i31+i3-2-21−i31−i31+i31+i30000-21−i31+i3-21−i31+i3-2-21−i31−i31+i31+i3000000000000000000000000000000
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χ7166−3+3i3−3−3i3−3+3i3−3−3i3-2-26-2-261−i31+i31−i31+i3−3+3i3−3−3i31−i31+i31−i31+i3−3+3i3−3−3i3-2-201−i31+i31−i31+i3-21−i31+i3-21−i31+i30001+i31−i31+i3-21−i3-20-21−i31+i3-21−i31+i30001+i31−i31+i3-21−i3-2000000000000000000000000000000
χ7266−3+3i3−3−3i3−3+3i3−3−3i3-2-2-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i31−i31+i31−i31+i3220−1+i3−1−i3−1+i3−1−i34−2+2i3−2−2i3-21−i31+i3-21−i31+i322−1+i3−1+i3−1−i3−1−i304−2+2i3−2−2i3-21−i31+i3-21−i31+i322−1+i3−1+i3−1−i3−1−i3000000000000000000000000000000
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χ756-666-6-66-2-2-62266-2-2-2-2-6-62222-22-3-2-222-3-3-31111111111113333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ766-666-6-6-26-22-62-2-266-2-222-6-622-22-3-2-222111-3-3-31111111113-1-1-1333-1-1-1-1-1-1-1-1-1000000000000000000000000000000
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χ786-666-6-6-2-2-2222-2-2-2-2-2-22222222-2622-2-2-2-2-2-2-2-2-2-2-2222222-6222222222-2-2-2-2-2-2000000000000000000000000000000
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χ886-6−3+3i3−3−3i33−3i33+3i3-26-22-621−i31+i3−3+3i3−3−3i31−i31+i3−1+i3−1−i33−3i33+3i3−1+i3−1−i3-2201−i31+i3−1+i3−1−i3-21−i31+i3000-21−i31+i31−i31+i3-21+i3-21−i302−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000000000000000000
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χ926-6−3+3i3−3−3i33−3i33+3i3-2-2-22221−i31+i31−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-20−1+i3−1−i31−i31+i3-21−i31+i3-21−i31+i34−2+2i3−2−2i3−1−i3−1+i3−1−i32−1+i3202−1+i3−1−i32−1+i3−1−i3-42−2i32+2i31+i31−i31+i3-21−i3-2000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.