Finite Group Databasebeta

← Group #14517676

Character table — Group #14517676

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222222222666666666666666666666666666666666666666666666666999918181818181818181818181818181818181818181818181818181818181818181818162162162162162162
order12233336666666666669999999999991818181818181818181818181818181818181818181818181818181818181818181818183366669999999918181818181818181818181818181818181818181818181824661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111−1+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−i3211−1+i32−1−i32−1+i32−1−i32
χ41111111111111111111111111111111111111111111111111111111111111111111−1+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−i32-1-11−i321+i321−i321+i32
χ51111111111111111111111111111111111111111111111111111111111111111111−1−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+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111111111111111111111111111111111111111111111111111111111111−1−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+i32-1-11+i321−i321+i321−i32
χ711-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1
χ811-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111
χ911-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1011-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1111-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1211-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-111+i321−i32−1−i32−1+i32
χ132222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000000
χ142222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ152222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ162222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1000000
χ172222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ182222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ192222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1000000
χ202222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000
χ212222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000
χ222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122000000
χ232222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000
χ242222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000
χ2522-222222222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111112222-2-22-1-1-12-1-1-12-1-1-1-2-21111112-1-1-1-2-2111111000000
χ2622-222222222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111−1+i3−1−i3−1+i3−1−i31−i31+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000
χ2722-222222222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111−1−i3−1+i3−1−i3−1+i31+i31−i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ2822-222222222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111-2-2-2-2-2-21111111111112222-2-2-12-1-1-12-1-1-12-1-111-2-21111-12-1-111-2-21111000000
χ2922-222222222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111−1+i3−1−i3−1+i3−1−i31−i31+i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ3022-222222222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111−1−i3−1+i3−1−i3−1+i31+i31−i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ3122-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111111111-2-2-2-2-2-21111112222-2-2-1-12-1-1-12-1-1-12-11111-2-211-1-12-11111-2-211000000
χ3222-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111111111-2-2-2-2-2-2111111−1+i3−1−i3−1+i3−1−i31−i31+i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000
χ3322-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111111111-2-2-2-2-2-2111111−1−i3−1+i3−1−i3−1+i31+i31−i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000
χ3422-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111111111-2-2-2-2-2-22222-2-2-1-1-12-1-1-12-1-1-12111111-2-2-1-1-12111111-2-2000000
χ3522-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111111111-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3000000
χ3622-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111111111-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3000000
χ372-202222-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-20022222222-2-2-2-200000000-2-2-2-200000000000000
χ382-202222-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−1+i3−1−i31−i31+i300−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3000000001+i31+i31+i31+i300000000000000
χ392-202222-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−1−i3−1+i31+i31−i300−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3000000001−i31−i31−i31−i300000000000000
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χ1016-60-3-36-333-633i3−3i3−3i33i3003i3−3i30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8000000000000−3ζ2+3ζ73ζ4−3ζ53ζ−3ζ83ζ2−3ζ7−3ζ4+3ζ5−3ζ+3ζ800000000000000000000000000000000000000000000000000000000
χ1026-60-3-36-333-633i3−3i3−3i33i3003i3−3i30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ70000000000003ζ4−3ζ53ζ−3ζ8−3ζ2+3ζ7−3ζ4+3ζ5−3ζ+3ζ83ζ2−3ζ700000000000000000000000000000000000000000000000000000000
χ1036-60-3-36-333-63−3i33i33i3−3i300−3i33i30003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5000000000000−3ζ+3ζ83ζ2−3ζ7−3ζ4+3ζ53ζ−3ζ8−3ζ2+3ζ73ζ4−3ζ500000000000000000000000000000000000000000000000000000000
χ1046-60-3-36-333-63−3i33i33i3−3i300−3i33i30003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ80000000000003ζ2−3ζ7−3ζ4+3ζ5−3ζ+3ζ8−3ζ2+3ζ73ζ4−3ζ53ζ−3ζ800000000000000000000000000000000000000000000000000000000
χ1056-60-3-36-333-63−3i33i33i3−3i300−3i33i30003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7000000000000−3ζ4+3ζ5−3ζ+3ζ83ζ2−3ζ73ζ4−3ζ53ζ−3ζ8−3ζ2+3ζ700000000000000000000000000000000000000000000000000000000
χ1066-60-3-3-36333-63i3−3i33i3−3i3−3i33i3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ50000000003ζ−3ζ8−3ζ2+3ζ73ζ4−3ζ5−3ζ+3ζ83ζ2−3ζ7−3ζ4+3ζ500000000000000000000000000000000000000000000000000000000000000
χ1076-60-3-3-36333-63i3−3i33i3−3i3−3i33i3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8000000000−3ζ2+3ζ73ζ4−3ζ53ζ−3ζ83ζ2−3ζ7−3ζ4+3ζ5−3ζ+3ζ800000000000000000000000000000000000000000000000000000000000000
χ1086-60-3-3-36333-63i3−3i33i3−3i3−3i33i3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ70000000003ζ4−3ζ53ζ−3ζ8−3ζ2+3ζ7−3ζ4+3ζ5−3ζ+3ζ83ζ2−3ζ700000000000000000000000000000000000000000000000000000000000000
χ1096-60-3-3-36333-6−3i33i3−3i33i33i3−3i3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5000000000−3ζ+3ζ83ζ2−3ζ7−3ζ4+3ζ53ζ−3ζ8−3ζ2+3ζ73ζ4−3ζ500000000000000000000000000000000000000000000000000000000000000
χ1106-60-3-3-36333-6−3i33i3−3i33i33i3−3i3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ80000000003ζ2−3ζ7−3ζ4+3ζ5−3ζ+3ζ8−3ζ2+3ζ73ζ4−3ζ53ζ−3ζ800000000000000000000000000000000000000000000000000000000000000
χ1116-60-3-3-36333-6−3i33i3−3i33i33i3−3i3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7000000000−3ζ4+3ζ5−3ζ+3ζ83ζ2−3ζ73ζ4−3ζ53ζ−3ζ8−3ζ2+3ζ700000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.