Finite Group Databasebeta

← Group #13143878

Character table — Group #13143878

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11166669991116666999222121212121818182221212121218181822212121212181818444242424243636364442424242436363644424242424363636444242424243636364442424242436363644424242424363636
order13333332662666666266266666626641212121212124121241212121212124121226666662662666666266824242424242482424824242424242482424824242424242482424824242424242482424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ32222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ4222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000
χ5222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000
χ6222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000
χ73−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ83−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ93−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ103−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ121111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ132222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000
χ14222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000
χ15222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000
χ16222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000
χ173−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ183−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ193−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ203−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ221111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ232222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000
χ24222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000
χ25222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000
χ26222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000
χ273−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ283−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ293−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ303−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ321111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1
χ332222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000
χ34222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000
χ35222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000
χ36222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000
χ373−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ383−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ393−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ403−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ421111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111iiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiii
χ432222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-1000-2-2-2-21110002i2i2i2i−i−i−i000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000
χ44222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000-2-2-21-2110002i2i2i−i2i−i−i000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000
χ45222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000-2-2-211-210002i2i2i−i−i2i−i000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000
χ46222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000-2-2-2111-20002i2i2i−i−i−i2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000
χ473−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ11
χ483−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ11
χ493−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ7
χ503−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ7
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ521111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i
χ532222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-1000-2-2-2-2111000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000
χ54222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000-2-2-21-211000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000
χ55222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000-2-2-211-21000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000
χ56222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000-2-2-2111-2000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000
χ573−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11
χ583−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11
χ593−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7
χ603−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ621111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1iiiiiii−i−i−i−i−i−i−i−i−i−iiii−i−i−i−i−i−i−iiiiiiiiiii−i−i−i
χ632222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-10002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000
χ64222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-10002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000
χ65222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-10002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000
χ66222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-120002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000
χ673−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11
χ683−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ11−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11
χ693−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7
χ703−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ7−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ721111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1−i−i−i−i−i−i−iiiiiiiiiii−i−i−iiiiiiii−i−i−i−i−i−i−i−i−i−iiii
χ732222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-1000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000
χ74222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000
χ75222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000
χ76222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000
χ773−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ113i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ11
χ783−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ113i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ11
χ793−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ73i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ7
χ803−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ73i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ7
χ8122222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ822222222-2-2-22222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000000000000000000000000000000000
χ834444-2-2-20004444-2-2-2000-4-4-4-42220004444-2-2-2000-4-4-4-4222000000000000000000000000000000000000000000000000000000000000000
χ84444-24-2-2000444-24-2-2000-4-4-42-422000444-24-2-2000-4-4-42-422000000000000000000000000000000000000000000000000000000000000000
χ85444-2-24-2000444-2-24-2000-4-4-422-42000444-2-24-2000-4-4-422-42000000000000000000000000000000000000000000000000000000000000000
χ86444-2-2-24000444-2-2-24000-4-4-4222-4000444-2-2-24000-4-4-4222-4000000000000000000000000000000000000000000000000000000000000000
χ876−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i36−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3000000000000000000000000000000000000000000000000000000000000
χ886−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i36−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000
χ896−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i36−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3000000000000000000000000000000000000000000000000000000000000
χ906−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i36−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3000000000000000000000000000000000000000000000000000000000000
χ9122222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000000000000000000000000000000000
χ922222222-2-2-22222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-22222222222-2-2-2000000000000000000000000000000000000000000000000000000000000
χ934444-2-2-20004444-2-2-2000-4-4-4-4222000-4-4-4-42220004444-2-2-2000000000000000000000000000000000000000000000000000000000000000
χ94444-24-2-2000444-24-2-2000-4-4-42-422000-4-4-42-422000444-24-2-2000000000000000000000000000000000000000000000000000000000000000
χ95444-2-24-2000444-2-24-2000-4-4-422-42000-4-4-422-42000444-2-24-2000000000000000000000000000000000000000000000000000000000000000
χ96444-2-2-24000444-2-2-24000-4-4-4222-4000-4-4-4222-4000444-2-2-24000000000000000000000000000000000000000000000000000000000000000
χ976−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3-63−3i33+3i30000-21−i31+i36−3+3i3−3−3i300002−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000
χ986−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3-63−3i33+3i300002−1+i3−1−i36−3+3i3−3−3i30000-21−i31+i3000000000000000000000000000000000000000000000000000000000000
χ996−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3-63+3i33−3i30000-21+i31−i36−3−3i3−3+3i300002−1−i3−1+i3000000000000000000000000000000000000000000000000000000000000
χ1006−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3-63+3i33−3i300002−1−i3−1+i36−3−3i3−3+3i30000-21+i31−i3000000000000000000000000000000000000000000000000000000000000
χ1014444444444-4-4-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024444444-4-4-4-4-4-4-4-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038888-4-4-4000-8-8-8-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ104888-48-4-4000-8-8-84-844000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ105888-4-48-4000-8-8-844-84000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ106888-4-4-48000-8-8-8444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10712−6+6i3−6−6i300004−2+2i3−2−2i3-126−6i36+6i30000-42−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10812−6+6i3−6−6i30000-42−2i32+2i3-126−6i36+6i300004−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10912−6−6i3−6+6i300004−2−2i3−2+2i3-126+6i36−6i30000-42+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012−6−6i3−6+6i30000-42+2i32−2i3-126+6i36−6i300004−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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