Finite Group Databasebeta

← Group #72154

Character table — Group #72154

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111144444444444444444444444444441111111111111111444444444444444444444444444411111111111111114444444444444444444444444444
order122222222222222222224444444444444444444444443666666666666666666612121212121212121212121212121212121212121212121236666666666666666666121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1-111-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-111-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-111-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1-111-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-111-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-111-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ12111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ13111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ14111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ15111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222-2-22222-2-2-2-2-2-22-22-20000000000000000000000002222-2-22222-2-2-2-2-2-22-22-20000000000000000000000002222-2-22222-2-2-2-2-2-22-22-2000000000000000000000000
χ182222-2-22222-2-2-2-2-2-2-22-220000000000000000000000002222-2-22222-2-2-2-2-2-2-22-220000000000000000000000002222-2-22222-2-2-2-2-2-2-22-22000000000000000000000000
χ192222-2-2-2-2-2-22-2-22222-2-220000000000000000000000002222-2-2-2-2-2-22-2-22222-2-220000000000000000000000002222-2-2-2-2-2-22-2-22222-2-22000000000000000000000000
χ202222-2-2-2-2-2-22-2-2222-222-20000000000000000000000002222-2-2-2-2-2-22-2-2222-222-20000000000000000000000002222-2-2-2-2-2-22-2-2222-222-2000000000000000000000000
χ2122-2-22222-2-22-2-2-2-22000000002i−2i2i−2i000000000000000022-2-22222-2-22-2-2-2-22000000002i−2i2i−2i000000000000000022-2-22222-2-22-2-2-2-22000000002i−2i2i−2i0000000000000000
χ2222-2-22222-2-22-2-2-2-2200000000−2i2i−2i2i000000000000000022-2-22222-2-22-2-2-2-2200000000−2i2i−2i2i000000000000000022-2-22222-2-22-2-2-2-2200000000−2i2i−2i2i0000000000000000
χ2322-2-222-2-222-2-2-222-2000000002i−2i−2i2i000000000000000022-2-222-2-222-2-2-222-2000000002i−2i−2i2i000000000000000022-2-222-2-222-2-2-222-2000000002i−2i−2i2i0000000000000000
χ2422-2-222-2-222-2-2-222-200000000−2i2i2i−2i000000000000000022-2-222-2-222-2-2-222-200000000−2i2i2i−2i000000000000000022-2-222-2-222-2-2-222-200000000−2i2i2i−2i0000000000000000
χ2522-2-2-2-222-2-2-22222-200002-22-20000000000000000000022-2-2-2-222-2-2-22222-200002-22-20000000000000000000022-2-2-2-222-2-2-22222-200002-22-200000000000000000000
χ2622-2-2-2-222-2-2-22222-20000-22-220000000000000000000022-2-2-2-222-2-2-22222-20000-22-220000000000000000000022-2-2-2-222-2-2-22222-20000-22-2200000000000000000000
χ2722-2-2-2-2-2-222222-2-2200002-2-220000000000000000000022-2-2-2-2-2-222222-2-2200002-2-220000000000000000000022-2-2-2-2-2-222222-2-2200002-2-2200000000000000000000
χ2822-2-2-2-2-2-222222-2-220000-222-20000000000000000000022-2-2-2-2-2-222222-2-220000-222-20000000000000000000022-2-2-2-2-2-222222-2-220000-222-200000000000000000000
χ292-22-22-22-22-222-22-2-20000000000000000000000002i−2i2i−2i2-22-22-22-22-222-22-2-20000000000000000000000002i−2i2i−2i2-22-22-22-22-222-22-2-20000000000000000000000002i−2i2i−2i
χ302-22-22-22-22-222-22-2-2000000000000000000000000−2i2i−2i2i2-22-22-22-22-222-22-2-2000000000000000000000000−2i2i−2i2i2-22-22-22-22-222-22-2-2000000000000000000000000−2i2i−2i2i
χ312-22-22-2-22-22-22-2-2220000000000000000000000002-2-222-22-22-2-22-22-22-2-2220000000000000000000000002-2-222-22-22-2-22-22-22-2-2220000000000000000000000002-2-22
χ322-22-22-2-22-22-22-2-222000000000000000000000000-222-22-22-22-2-22-22-22-2-222000000000000000000000000-222-22-22-22-2-22-22-22-2-222000000000000000000000000-222-2
χ332-22-2-222-22-2-2-22-22200000000000000002-22-2000000002-22-2-222-22-2-2-22-22200000000000000002-22-2000000002-22-2-222-22-2-2-22-22200000000000000002-22-200000000
χ342-22-2-222-22-2-2-22-2220000000000000000-22-22000000002-22-2-222-22-2-2-22-2220000000000000000-22-22000000002-22-2-222-22-2-2-22-2220000000000000000-22-2200000000
χ352-22-2-22-22-222-222-2-200000000000000002i−2i−2i2i000000002-22-2-22-22-222-222-2-200000000000000002i−2i−2i2i000000002-22-2-22-22-222-222-2-200000000000000002i−2i−2i2i00000000
χ362-22-2-22-22-222-222-2-20000000000000000−2i2i2i−2i000000002-22-2-22-22-222-222-2-20000000000000000−2i2i2i−2i000000002-22-2-22-22-222-222-2-20000000000000000−2i2i2i−2i00000000
χ372-2-222-22-2-222-22-22-20000000000002i−2i2i−2i0000000000002-2-222-22-2-222-22-22-20000000000002i−2i2i−2i0000000000002-2-222-22-2-222-22-22-20000000000002i−2i2i−2i000000000000
χ382-2-222-22-2-222-22-22-2000000000000−2i2i−2i2i0000000000002-2-222-22-2-222-22-22-2000000000000−2i2i−2i2i0000000000002-2-222-22-2-222-22-22-2000000000000−2i2i−2i2i000000000000
χ392-2-222-2-222-2-2-222-220000000000002-2-220000000000002-2-222-2-222-2-2-222-220000000000002-2-220000000000002-2-222-2-222-2-2-222-220000000000002-2-22000000000000
χ402-2-222-2-222-2-2-222-22000000000000-222-20000000000002-2-222-2-222-2-2-222-22000000000000-222-20000000000002-2-222-2-222-2-2-222-22000000000000-222-2000000000000
χ412-2-22-222-2-22-22-22-22000000000000000000002-22-200002-2-22-222-2-22-22-22-22000000000000000000002-22-200002-2-22-222-2-22-22-22-22000000000000000000002-22-20000
χ422-2-22-222-2-22-22-22-2200000000000000000000-22-2200002-2-22-222-2-22-22-22-2200000000000000000000-22-2200002-2-22-222-2-22-22-22-2200000000000000000000-22-220000
χ432-2-22-22-222-222-2-22-2000000000000000000002i−2i−2i2i00002-2-22-22-222-222-2-22-2000000000000000000002i−2i−2i2i00002-2-22-22-222-222-2-22-2000000000000000000002i−2i−2i2i0000
χ442-2-22-22-222-222-2-22-200000000000000000000−2i2i2i−2i00002-2-22-22-222-222-2-22-200000000000000000000−2i2i2i−2i00002-2-22-22-222-222-2-22-200000000000000000000−2i2i2i−2i0000
χ4511111111111111111111111111111111111111111111−1+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+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+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−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−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−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
χ461111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ491111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ501111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ511111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ521111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ1082222-2-2-2-2-2-22-2-2222-222-2000000000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3000000000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3000000000000000000000000
χ10922-2-22222-2-22-2-2-2-22000000002i−2i2i−2i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3000000002ζ11−2ζ112ζ11−2ζ110000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3000000002ζ7−2ζ72ζ7−2ζ70000000000000000
χ11022-2-22222-2-22-2-2-2-2200000000−2i2i−2i2i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i300000000−2ζ112ζ11−2ζ112ζ110000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i300000000−2ζ72ζ7−2ζ72ζ70000000000000000
χ11122-2-222-2-222-2-2-222-2000000002i−2i−2i2i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3000000002ζ11−2ζ11−2ζ112ζ110000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3000000002ζ7−2ζ7−2ζ72ζ70000000000000000
χ11222-2-222-2-222-2-2-222-200000000−2i2i2i−2i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i300000000−2ζ112ζ112ζ11−2ζ110000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i300000000−2ζ72ζ72ζ7−2ζ70000000000000000
χ11322-2-2-2-222-2-2-22222-200002-22-200000000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i30000−1−i31+i3−1−i31+i300000000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i30000−1+i31−i3−1+i31−i300000000000000000000
χ11422-2-2-2-222-2-2-22222-20000-22-2200000000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i300001+i3−1−i31+i3−1−i300000000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i300001−i3−1+i31−i3−1+i300000000000000000000
χ11522-2-2-2-2-2-222222-2-2200002-2-2200000000000000000000−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i30000−1−i31+i31+i3−1−i300000000000000000000−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i30000−1+i31−i31−i3−1+i300000000000000000000
χ11622-2-2-2-2-2-222222-2-220000-222-200000000000000000000−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i300000000000000000000−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i300000000000000000000
χ1172-22-22-22-22-222-22-2-20000000000000000000000002i−2i2i−2i−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i30000000000000000000000002ζ11−2ζ112ζ11−2ζ11−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i30000000000000000000000002ζ7−2ζ72ζ7−2ζ7
χ1182-22-22-22-22-222-22-2-2000000000000000000000000−2i2i−2i2i−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3000000000000000000000000−2ζ112ζ11−2ζ112ζ11−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3000000000000000000000000−2ζ72ζ7−2ζ72ζ7
χ1192-22-22-2-22-22-22-2-2220000000000000000000000002-2-22−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000−1−i31+i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000000000000000−1+i31−i31−i3−1+i3
χ1202-22-22-2-22-22-22-2-222000000000000000000000000-222-2−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i30000000000000000000000001+i3−1−i3−1−i31+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i30000000000000000000000001−i3−1+i3−1+i31−i3
χ1212-22-2-222-22-2-2-22-22200000000000000002-22-200000000−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i30000000000000000−1−i31+i3−1−i31+i300000000−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i30000000000000000−1+i31−i3−1+i31−i300000000
χ1222-22-2-222-22-2-2-22-2220000000000000000-22-2200000000−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i300000000000000001+i3−1−i31+i3−1−i300000000−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i300000000000000001−i3−1+i31−i3−1+i300000000
χ1232-22-2-22-22-222-222-2-200000000000000002i−2i−2i2i00000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300000000000000002ζ11−2ζ11−2ζ112ζ1100000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300000000000000002ζ7−2ζ7−2ζ72ζ700000000
χ1242-22-2-22-22-222-222-2-20000000000000000−2i2i2i−2i00000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i30000000000000000−2ζ112ζ112ζ11−2ζ1100000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i30000000000000000−2ζ72ζ72ζ7−2ζ700000000
χ1252-2-222-22-2-222-22-22-20000000000002i−2i2i−2i000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i30000000000002ζ11−2ζ112ζ11−2ζ11000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i30000000000002ζ7−2ζ72ζ7−2ζ7000000000000
χ1262-2-222-22-2-222-22-22-2000000000000−2i2i−2i2i000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3000000000000−2ζ112ζ11−2ζ112ζ11000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3000000000000−2ζ72ζ7−2ζ72ζ7000000000000
χ1272-2-222-2-222-2-2-222-220000000000002-2-22000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3000000000000−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3000000000000−1+i31−i31−i3−1+i3000000000000
χ1282-2-222-2-222-2-2-222-22000000000000-222-2000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000001+i3−1−i3−1−i31+i3000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000001−i3−1+i3−1+i31−i3000000000000
χ1292-2-22-222-2-22-22-22-22000000000000000000002-22-20000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i300000000000000000000−1−i31+i3−1−i31+i30000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i300000000000000000000−1+i31−i3−1+i31−i30000
χ1302-2-22-222-2-22-22-22-2200000000000000000000-22-220000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3000000000000000000001+i3−1−i31+i3−1−i30000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3000000000000000000001−i3−1+i31−i3−1+i30000
χ1312-2-22-22-222-222-2-22-2000000000000000000002i−2i−2i2i0000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3000000000000000000002ζ11−2ζ11−2ζ112ζ110000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3000000000000000000002ζ7−2ζ7−2ζ72ζ70000
χ1322-2-22-22-222-222-2-22-200000000000000000000−2i2i2i−2i0000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i300000000000000000000−2ζ112ζ112ζ11−2ζ110000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i300000000000000000000−2ζ72ζ72ζ7−2ζ70000

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