Finite Group Databasebeta

← Group #11923185

Character table — Group #11923185

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11222224444666688888888881212181824242424112222244446666888888888812121818242424241122222444466668888888888121218182424242411222224444666688888888881212181824242424
order12236663366244433666666661212246612124441212121212121212444412121212121212121212121244121212122226666666624446666666666121224661212444121212121212121244441212121212121212121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-111-1111111111111-1-1-1-1-1-111111111111-111-1111111111111-1-1-1-1-1-111111111111-111-1111111111111-1-1-1-1-1-111111111111-111-1111111111111-1-1-1-1-1-1
χ31111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32
χ41111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i32
χ51111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32
χ61111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i32
χ711-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-111-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-111-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-111-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-1
χ811-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-11111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-11111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-11111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-111
χ911-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i32
χ1011-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i32
χ1111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32
χ1211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i32
χ13222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000
χ14222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000
χ15222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000
χ1622-2-111-1222202-20-1-1-2-2-111-111-1100000022-2-111-1222202-20-1-1-2-2-111-111-1100000022-2-111-1222202-20-1-1-2-2-111-111-1100000022-2-111-1222202-20-1-1-2-2-111-111-11000000
χ1722-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-1100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-1100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-1100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-11000000
χ1822-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-1100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-1100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-1100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-11000000
χ19333333300003-1-130000000000-1-1-1-10000333333300003-1-130000000000-1-1-1-10000333333300003-1-130000000000-1-1-1-10000333333300003-1-130000000000-1-1-1-10000
χ2033333330000-3-1-1-30000000000-1-111000033333330000-3-1-1-30000000000-1-111000033333330000-3-1-1-30000000000-1-111000033333330000-3-1-1-30000000000-1-1110000
χ2133-33-3-3300003-11-30000000000-111-1000033-33-3-3300003-11-30000000000-111-1000033-33-3-3300003-11-30000000000-111-1000033-33-3-3300003-11-30000000000-111-10000
χ2233-33-3-330000-3-1130000000000-11-11000033-33-3-330000-3-1130000000000-11-11000033-33-3-330000-3-1130000000000-11-11000033-33-3-330000-3-1130000000000-11-110000
χ234-40400-4-2-2220000-2-200200200000000004-40400-4-2-2220000-2-200200200000000004-40400-4-2-2220000-2-200200200000000004-40400-4-2-2220000-2-20020020000000000
χ244-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i30000000000
χ254-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i30000000000
χ264-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i300000000
χ274-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000
χ284-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000
χ294-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i300000000
χ304-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000004-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000004-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000004-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i3200000000
χ314-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000004-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000004-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000004-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i3200000000
χ32666-3-3-3-300000-2-20000000000011000000666-3-3-3-300000-2-20000000000011000000666-3-3-3-300000-2-20000000000011000000666-3-3-3-300000-2-20000000000011000000
χ3366-6-333-300000-22000000000001-100000066-6-333-300000-22000000000001-100000066-6-333-300000-22000000000001-100000066-6-333-300000-22000000000001-1000000
χ34111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3511111111111-111-1111111111111-1-1-1-1-1-1iiiiiiiiiii−iii−iiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−ii−i−ii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ361111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32iiiiiiiζ7ζ11ζ7ζ11iiiiζ7ζ11ζ7ζ11ζ7ζ7ζ7ζ11ζ11ζ11iiiiζ7ζ11ζ7ζ11-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11
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χ721111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i321-1-111+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i321-1-111+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i32
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χ7411-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-111-1-11-111-1-1-1-1-11-11-1-1-111-111-111-11-1111-1-111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-111-1-11-111-1-1-1-1-11-11-1-1-111-111-111-11-1111-1-1
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χ7611-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i32-1-11-111-11−i321+i321−i321+i321-11-11−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i32-1-11-111-11−i321+i321−i321+i321-11-11−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i32
χ7711-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32-1-11-111-11+i321−i321+i321−i32-1-1111+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32-1-11-111-11+i321−i321+i321−i32-1-1111+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32
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χ79222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000-2-2-21111-2-2-2-20-2-2011-2-211111111000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000-2-2-21111-2-2-2-20-2-2011-2-211111111000000
χ80222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000-2-2-211111−i31+i31−i31+i30-2-20−1+i32−1−i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000-2-2-211111−i31+i31−i31+i30-2-20−1+i32−1−i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211000000
χ81222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000-2-2-211111+i31−i31+i31−i30-2-20−1−i32−1+i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000-2-2-211111+i31−i31+i31−i30-2-20−1−i32−1+i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211000000
χ8222-2-111-1222202-20-1-1-2-2-111-111-11000000-2-221-1-11-2-2-2-20-22011221-1-11-1-11-100000022-2-111-1222202-20-1-1-2-2-111-111-11000000-2-221-1-11-2-2-2-20-22011221-1-11-1-11-1000000
χ8322-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-11000000-2-221-1-111−i31+i31−i31+i30-220−1+i32−1−i32−1+i3−1−i3−1+i321−i321−i32−1−i321+i321+i321-100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-11000000-2-221-1-111−i31+i31−i31+i30-220−1+i32−1−i32−1+i3−1−i3−1+i321−i321−i32−1−i321+i321+i321-1000000
χ8422-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-11000000-2-221-1-111+i31−i31+i31−i30-220−1−i32−1+i32−1−i3−1+i3−1−i321+i321+i32−1+i321−i321−i321-100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-11000000-2-221-1-111+i31−i31+i31−i30-220−1−i32−1+i32−1−i3−1+i3−1−i321+i321+i32−1+i321−i321−i321-1000000
χ85333333300003-1-130000000000-1-1-1-10000-3-3-3-3-3-3-30000-311-3000000000011110000333333300003-1-130000000000-1-1-1-10000-3-3-3-3-3-3-30000-311-3000000000011110000
χ8633333330000-3-1-1-30000000000-1-1110000-3-3-3-3-3-3-300003113000000000011-1-1000033333330000-3-1-1-30000000000-1-1110000-3-3-3-3-3-3-300003113000000000011-1-10000
χ8733-33-3-3300003-11-30000000000-111-10000-3-33-333-30000-31-1300000000001-1-11000033-33-3-3300003-11-30000000000-111-10000-3-33-333-30000-31-1300000000001-1-110000
χ8833-33-3-330000-3-1130000000000-11-110000-3-33-333-3000031-1-300000000001-11-1000033-33-3-330000-3-1130000000000-11-110000-3-33-333-3000031-1-300000000001-11-10000
χ894-40400-4-2-2220000-2-20020020000000000-440-400422-2-200002200-200-200000000004-40400-4-2-2220000-2-20020020000000000-440-400422-2-200002200-200-20000000000
χ904-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i30000000000-440-4004−1+i3−1−i31−i31+i30000−1+i3−1−i3001−i3001+i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i30000000000-440-4004−1+i3−1−i31−i31+i30000−1+i3−1−i3001−i3001+i30000000000
χ914-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i30000000000-440-4004−1−i3−1+i31+i31−i30000−1−i3−1+i3001+i3001−i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i30000000000-440-4004−1−i3−1+i31+i31−i30000−1−i3−1+i3001+i3001−i30000000000
χ924-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i300000000-4402−2i32i3-222-2-20000-1-1001−i3i31−i3i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i300000000-4402−2i32i3-222-2-20000-1-1001−i3i31−i3i300000000
χ934-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000-4402−2i32i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000-4402−2i32i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i3200000000
χ944-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000-4402−2i32i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000-4402−2i32i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i3200000000
χ954-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i300000000-44022i3−2i3-222-2-20000-1-1001i3−i31i3−i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i300000000-44022i3−2i3-222-2-20000-1-1001i3−i31i3−i300000000
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χ98666-3-3-3-300000-2-20000000000011000000-6-6-63333000002200000000000-1-1000000666-3-3-3-300000-2-20000000000011000000-6-6-63333000002200000000000-1-1000000
χ9966-6-333-300000-22000000000001-1000000-6-663-3-33000002-200000000000-1100000066-6-333-300000-22000000000001-1000000-6-663-3-33000002-200000000000-11000000
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χ1021111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321+i321−i321+i32iiiiiiiζ7ζ11ζ7ζ11iiiiζ7ζ11ζ7ζ11ζ7ζ7ζ7ζ11ζ11ζ11iiiiζ7ζ11ζ7ζ11
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χ1041111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321−i321+i321−i32iiiiiiiζ11ζ7ζ11ζ7iiiiζ11ζ7ζ11ζ7ζ11ζ11ζ11ζ7ζ7ζ7iiiiζ11ζ7ζ11ζ7
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χ10611-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-1−i−ii−iii−i−i−i−i−i−i−iii−i−iii−iii−iii−iii−i−i−iii-1-11-111-1-1-1-1-1-1-111-1-111-111-111-111-1-1-111ii−ii−i−iiiiiiii−i−iii−i−ii−i−ii−i−ii−i−iiii−i−i
χ10711-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-111−i−ii−iii−i−i−i−i−ii−ii−i−i−iii−iii−iii−ii−iiii−i−i-1-11-111-1-1-1-1-11-11-1-1-111-111-111-11-1111-1-1ii−ii−i−iiiiii−ii−iiii−i−ii−i−ii−i−ii−ii−i−i−iii
χ10811-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i32−i−ii−iii−i−ζ7−ζ11−ζ7−ζ11−i−iii−ζ7−ζ11ζ7ζ11−ζ7ζ7ζ7−ζ11ζ11ζ11−iii−i−ζ7−ζ11ζ7ζ11-1-11-111-11−i321+i321−i321+i32-1-1111−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32ii−ii−i−iiζ7ζ11ζ7ζ11ii−i−iζ7ζ11−ζ7−ζ11ζ7−ζ7−ζ7ζ11−ζ11−ζ11i−i−iiζ7ζ11−ζ7−ζ11
χ10911-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i32−i−ii−iii−i−ζ7−ζ11−ζ7−ζ11i−ii−i−ζ7−ζ11ζ7ζ11−ζ7ζ7ζ7−ζ11ζ11ζ11−ii−iiζ7ζ11−ζ7−ζ11-1-11-111-11−i321+i321−i321+i321-11-11−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i32ii−ii−i−iiζ7ζ11ζ7ζ11−ii−iiζ7ζ11−ζ7−ζ11ζ7−ζ7−ζ7ζ11−ζ11−ζ11i−ii−i−ζ7−ζ11ζ7ζ11
χ11011-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32−i−ii−iii−i−ζ11−ζ7−ζ11−ζ7−i−iii−ζ11−ζ7ζ11ζ7−ζ11ζ11ζ11−ζ7ζ7ζ7−iii−i−ζ11−ζ7ζ11ζ7-1-11-111-11+i321−i321+i321−i32-1-1111+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32ii−ii−i−iiζ11ζ7ζ11ζ7ii−i−iζ11ζ7−ζ11−ζ7ζ11−ζ11−ζ11ζ7−ζ7−ζ7i−i−iiζ11ζ7−ζ11−ζ7
χ11111-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i32−i−ii−iii−i−ζ11−ζ7−ζ11−ζ7i−ii−i−ζ11−ζ7ζ11ζ7−ζ11ζ11ζ11−ζ7ζ7ζ7−ii−iiζ11ζ7−ζ11−ζ7-1-11-111-11+i321−i321+i321−i321-11-11+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321−i32ii−ii−i−iiζ11ζ7ζ11ζ7−ii−iiζ11ζ7−ζ11−ζ7ζ11−ζ11−ζ11ζ7−ζ7−ζ7i−ii−i−ζ11−ζ7ζ11ζ7
χ112222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000−2i−2i−2iiiii−2i−2i−2i−2i0−2i−2i0ii−2i−2iiiiiiiii000000-2-2-21111-2-2-2-20-2-2011-2-2111111110000002i2i2i−i−i−i−i2i2i2i2i02i2i0−i−i2i2i−i−i−i−i−i−i−i−i000000
χ113222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000−2i−2i−2iiiii−2ζ7−2ζ11−2ζ7−2ζ110−2i−2i0ζ7ζ11−2ζ7−2ζ11ζ7ζ7ζ7ζ11ζ11ζ11ii000000-2-2-211111−i31+i31−i31+i30-2-20−1+i32−1−i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32110000002i2i2i−i−i−i−i2ζ72ζ112ζ72ζ1102i2i0−ζ7−ζ112ζ72ζ11−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−i−i000000
χ114222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000−2i−2i−2iiiii−2ζ11−2ζ7−2ζ11−2ζ70−2i−2i0ζ11ζ7−2ζ11−2ζ7ζ11ζ11ζ11ζ7ζ7ζ7ii000000-2-2-211111+i31−i31+i31−i30-2-20−1−i32−1+i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32110000002i2i2i−i−i−i−i2ζ112ζ72ζ112ζ702i2i0−ζ11−ζ72ζ112ζ7−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−i−i000000
χ11522-2-111-1222202-20-1-1-2-2-111-111-11000000−2i−2i2ii−i−ii−2i−2i−2i−2i0−2i2i0ii2i2ii−i−ii−i−ii−i000000-2-221-1-11-2-2-2-20-22011221-1-11-1-11-10000002i2i−2i−iii−i2i2i2i2i02i−2i0−i−i−2i−2i−iii−iii−ii000000
χ11622-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-11000000−2i−2i2ii−i−ii−2ζ7−2ζ11−2ζ7−2ζ110−2i2i0ζ7ζ112ζ72ζ11ζ7−ζ7−ζ7ζ11−ζ11−ζ11i−i000000-2-221-1-111−i31+i31−i31+i30-220−1+i32−1−i32−1+i3−1−i3−1+i321−i321−i32−1−i321+i321+i321-10000002i2i−2i−iii−i2ζ72ζ112ζ72ζ1102i−2i0−ζ7−ζ11−2ζ7−2ζ11−ζ7ζ7ζ7−ζ11ζ11ζ11−ii000000
χ11722-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-11000000−2i−2i2ii−i−ii−2ζ11−2ζ7−2ζ11−2ζ70−2i2i0ζ11ζ72ζ112ζ7ζ11−ζ11−ζ11ζ7−ζ7−ζ7i−i000000-2-221-1-111+i31−i31+i31−i30-220−1−i32−1+i32−1−i3−1+i3−1−i321+i321+i32−1+i321−i321−i321-10000002i2i−2i−iii−i2ζ112ζ72ζ112ζ702i−2i0−ζ11−ζ7−2ζ11−2ζ7−ζ11ζ11ζ11−ζ7ζ7ζ7−ii000000
χ118333333300003-1-130000000000-1-1-1-10000−3i−3i−3i−3i−3i−3i−3i0000−3iii−3i0000000000iiii0000-3-3-3-3-3-3-30000-311-30000000000111100003i3i3i3i3i3i3i00003i−i−i3i0000000000−i−i−i−i0000
χ11933333330000-3-1-1-30000000000-1-1110000−3i−3i−3i−3i−3i−3i−3i00003iii3i0000000000ii−i−i0000-3-3-3-3-3-3-300003113000000000011-1-100003i3i3i3i3i3i3i0000−3i−i−i−3i0000000000−i−iii0000
χ12033-33-3-3300003-11-30000000000-111-10000−3i−3i3i−3i3i3i−3i0000−3ii−i3i0000000000i−i−ii0000-3-33-333-30000-31-1300000000001-1-1100003i3i−3i3i−3i−3i3i00003i−ii−3i0000000000−iii−i0000
χ12133-33-3-330000-3-1130000000000-11-110000−3i−3i3i−3i3i3i−3i00003ii−i−3i0000000000i−ii−i0000-3-33-333-3000031-1-300000000001-11-100003i3i−3i3i−3i−3i3i0000−3i−ii3i0000000000−ii−ii0000
χ1224-40400-4-2-2220000-2-20020020000000000−4i4i0−4i004i2i2i−2i−2i00002i2i00−2i00−2i0000000000-440-400422-2-200002200-200-200000000004i−4i04i00−4i−2i−2i2i2i0000−2i−2i002i002i0000000000
χ1234-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i30000000000−4i4i0−4i004i2ζ72ζ11−2ζ7−2ζ1100002ζ72ζ1100−2ζ700−2ζ110000000000-440-4004−1+i3−1−i31−i31+i30000−1+i3−1−i3001−i3001+i300000000004i−4i04i00−4i−2ζ7−2ζ112ζ72ζ110000−2ζ7−2ζ11002ζ7002ζ110000000000
χ1244-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i30000000000−4i4i0−4i004i2ζ112ζ7−2ζ11−2ζ700002ζ112ζ700−2ζ1100−2ζ70000000000-440-4004−1−i3−1+i31+i31−i30000−1−i3−1+i3001+i3001−i300000000004i−4i04i00−4i−2ζ11−2ζ72ζ112ζ70000−2ζ11−2ζ7002ζ11002ζ70000000000
χ1254-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i300000000−4i4i02i23−23−2i2i2i−2i−2i0000−i−i00i3−3i3−300000000-4402−2i32i3-222-2-20000-1-1001−i3i31−i3i3000000004i−4i0−2i−23232i−2i−2i2i2i0000ii00−i−33−i−3300000000
χ1264-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000−4i4i02i23−23−2i2ζ72ζ11−2ζ7−2ζ110000−ζ7−ζ1100ζ7−ζ7−2ζ11ζ7+2ζ11ζ112ζ7+ζ11−2ζ7−ζ1100000000-4402−2i32i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i32000000004i−4i0−2i−23232i−2ζ7−2ζ112ζ72ζ110000ζ7ζ1100−ζ7ζ7+2ζ11−ζ7−2ζ11−ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ1274-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000−4i4i02i23−23−2i2ζ112ζ7−2ζ11−2ζ70000−ζ11−ζ700ζ112ζ7+ζ11−2ζ7−ζ11ζ7−ζ7−2ζ11ζ7+2ζ1100000000-4402−2i32i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i32000000004i−4i0−2i−23232i−2ζ11−2ζ72ζ112ζ70000ζ11ζ700−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7ζ7+2ζ11−ζ7−2ζ1100000000
χ1284-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i300000000−4i4i02i−2323−2i2i2i−2i−2i0000−i−i00i−33i−3300000000-44022i3−2i3-222-2-20000-1-1001i3−i31i3−i3000000004i−4i0−2i23−232i−2i−2i2i2i0000ii00−i3−3−i3−300000000
χ1294-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i3200000000−4i4i02i−2323−2i2ζ72ζ11−2ζ7−2ζ110000−ζ7−ζ1100ζ7ζ7+2ζ11−ζ7−2ζ11ζ11−2ζ7−ζ112ζ7+ζ1100000000-44022i3−2i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i32000000004i−4i0−2i23−232i−2ζ7−2ζ112ζ72ζ110000ζ7ζ1100−ζ7−ζ7−2ζ11ζ7+2ζ11−ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ1304-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i3200000000−4i4i02i−2323−2i2ζ112ζ7−2ζ11−2ζ70000−ζ11−ζ700ζ11−2ζ7−ζ112ζ7+ζ11ζ7ζ7+2ζ11−ζ7−2ζ1100000000-44022i3−2i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i32000000004i−4i0−2i23−232i−2ζ11−2ζ72ζ112ζ70000ζ11ζ700−ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−ζ7−2ζ11ζ7+2ζ1100000000
χ131666-3-3-3-300000-2-20000000000011000000−6i−6i−6i3i3i3i3i000002i2i00000000000−i−i000000-6-6-63333000002200000000000-1-10000006i6i6i−3i−3i−3i−3i00000−2i−2i00000000000ii000000
χ13266-6-333-300000-22000000000001-1000000−6i−6i6i3i−3i−3i3i000002i−2i00000000000−ii000000-6-663-3-33000002-200000000000-110000006i6i−6i−3i3i3i−3i00000−2i2i00000000000i−i000000

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