Finite Group Databasebeta

← Group #72269982

Character table — Group #72269982

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111111122224444444444448888888888888888888816162222222244448888888888881616161616161616161616161616161616161616323233333333666612121212121212121212121224242424242424242424242424242424242424244848
order122222224444444444444444222222224444888888884436666666121212121212121212121212121212126666666612121212242424242424242412122222222244444444444444442222222244448888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ9111111111111-1-1-1-1111111-1-1-1-111-1-1111-1-1-111-1-111-1-11-1111111111111-1-1-1-1111111-1-1-1-111-1-1111-1-1-111-1-111-1-11-1111111111111-1-1-1-1111111-1-1-1-111-1-1111-1-1-111-1-111-1-11-1
χ10111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-111-1-111-11111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-111-1-111-11111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-1-111-11111111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-1-111-11111111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-11111-1-11-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-11111-1-11-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-11111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1111-1
χ14111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11111-1-111-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11111-1-111-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11111-1-111-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1111-1
χ1722222222-2-2-2-222-2-20000222200000000-2-200000000000022222222-2-2-2-222-2-20000222200000000-2-200000000000022222222-2-2-2-222-2-20000222200000000-2-2000000000000
χ1822222222-2-2-2-222-2-20000-2-2-2-2000000002200000000000022222222-2-2-2-222-2-20000-2-2-2-2000000002200000000000022222222-2-2-2-222-2-20000-2-2-2-20000000022000000000000
χ1922222222-2-2-2-2-2-222000022-2-200000000-2200000000000022222222-2-2-2-2-2-222000022-2-200000000-2200000000000022222222-2-2-2-2-2-222000022-2-200000000-22000000000000
χ2022222222-2-2-2-2-2-2220000-2-222000000002-200000000000022222222-2-2-2-2-2-2220000-2-222000000002-200000000000022222222-2-2-2-2-2-2220000-2-222000000002-2000000000000
χ212222-2-2-2-2-22-2200002i2i−2i−2i00000000002-200002i−2i000000002222-2-2-2-2-22-2200002i2i−2i−2i00000000002-200002i−2i000000002222-2-2-2-2-22-2200002i2i−2i−2i00000000002-200002i−2i00000000
χ222222-2-2-2-2-22-2200002i2i−2i−2i0000000000-220000−2i2i000000002222-2-2-2-2-22-2200002i2i−2i−2i0000000000-220000−2i2i000000002222-2-2-2-2-22-2200002i2i−2i−2i0000000000-220000−2i2i00000000
χ232222-2-2-2-2-22-220000−2i−2i2i2i00000000002-20000−2i2i000000002222-2-2-2-2-22-220000−2i−2i2i2i00000000002-20000−2i2i000000002222-2-2-2-2-22-220000−2i−2i2i2i00000000002-20000−2i2i00000000
χ242222-2-2-2-2-22-220000−2i−2i2i2i0000000000-2200002i−2i000000002222-2-2-2-2-22-220000−2i−2i2i2i0000000000-2200002i−2i000000002222-2-2-2-2-22-220000−2i−2i2i2i0000000000-2200002i−2i00000000
χ252-2-2222-2-222-2-200002i−2i2i−2i000000000000002i−2i002-20000002-2-2222-2-222-2-200002i−2i2i−2i000000000000002i−2i002-20000002-2-2222-2-222-2-200002i−2i2i−2i000000000000002i−2i002-2000000
χ262-2-2222-2-222-2-200002i−2i2i−2i00000000000000−2i2i00-220000002-2-2222-2-222-2-200002i−2i2i−2i00000000000000−2i2i00-220000002-2-2222-2-222-2-200002i−2i2i−2i00000000000000−2i2i00-22000000
χ272-2-2222-2-222-2-20000−2i2i−2i2i000000000000002i−2i00-220000002-2-2222-2-222-2-20000−2i2i−2i2i000000000000002i−2i00-220000002-2-2222-2-222-2-20000−2i2i−2i2i000000000000002i−2i00-22000000
χ282-2-2222-2-222-2-20000−2i2i−2i2i00000000000000−2i2i002-20000002-2-2222-2-222-2-20000−2i2i−2i2i00000000000000−2i2i002-20000002-2-2222-2-222-2-20000−2i2i−2i2i00000000000000−2i2i002-2000000
χ292-2-22-2-2222-2-222-22-200000000002-22-200000000000000002-2-22-2-2222-2-222-22-200000000002-22-200000000000000002-2-22-2-2222-2-222-22-200000000002-22-20000000000000000
χ302-2-22-2-2222-2-222-22-20000000000-22-2200000000000000002-2-22-2-2222-2-222-22-20000000000-22-2200000000000000002-2-22-2-2222-2-222-22-20000000000-22-220000000000000000
χ312-2-22-2-2222-2-22-22-2200000000002-2-2200000000000000002-2-22-2-2222-2-22-22-2200000000002-2-2200000000000000002-2-22-2-2222-2-22-22-2200000000002-2-220000000000000000
χ322-2-22-2-2222-2-22-22-220000000000-222-200000000000000002-2-22-2-2222-2-22-22-220000000000-222-200000000000000002-2-22-2-2222-2-22-22-220000000000-222-20000000000000000
χ332-2-22-2-222-222-22-2-222-2-2200002-2000000000000000000002-2-22-2-222-222-22-2-222-2-2200002-2000000000000000000002-2-22-2-222-222-22-2-222-2-2200002-200000000000000000000
χ342-2-22-2-222-222-22-2-22-222-20000-22000000000000000000002-2-22-2-222-222-22-2-22-222-20000-22000000000000000000002-2-22-2-222-222-22-2-22-222-20000-2200000000000000000000
χ352-2-22-2-222-222-2-222-22-2-220000-22000000000000000000002-2-22-2-222-222-2-222-22-2-220000-22000000000000000000002-2-22-2-222-222-2-222-22-2-220000-2200000000000000000000
χ362-2-22-2-222-222-2-222-2-222-200002-2000000000000000000002-2-22-2-222-222-2-222-2-222-200002-2000000000000000000002-2-22-2-222-222-2-222-2-222-200002-200000000000000000000
χ374444-4-4-4-44-44-400000000000000000000000000000000004444-4-4-4-44-44-400000000000000000000000000000000004444-4-4-4-44-44-40000000000000000000000000000000000
χ3844-4-44-44-4000000000000004-4000000000000000000000044-4-44-44-4000000000000004-4000000000000000000000044-4-44-44-4000000000000004-40000000000000000000000
χ3944-4-44-44-400000000000000-44000000000000000000000044-4-44-44-400000000000000-44000000000000000000000044-4-44-44-400000000000000-440000000000000000000000
χ4044-4-4-44-44000000000000000000000000000000000022−220044-4-4-44-44000000000000000000000000000000000022−220044-4-4-44-44000000000000000000000000000000000022−2200
χ4144-4-4-44-440000000000000000000000000000000000−22220044-4-4-44-440000000000000000000000000000000000−22220044-4-4-44-440000000000000000000000000000000000−222200
χ424-44-44-4-440000000000000000000000000000000022−2200004-44-44-4-440000000000000000000000000000000022−2200004-44-44-4-440000000000000000000000000000000022−220000
χ434-44-44-4-4400000000000000000000000000000000−222200004-44-44-4-4400000000000000000000000000000000−222200004-44-44-4-4400000000000000000000000000000000−22220000
χ444-44-4-444-40000000000004-40000000000000000000000004-44-4-444-40000000000004-40000000000000000000000004-44-4-444-40000000000004-4000000000000000000000000
χ454-44-4-444-4000000000000-440000000000000000000000004-44-4-444-4000000000000-440000000000000000000000004-44-4-444-4000000000000-44000000000000000000000000
χ464-4-4444-4-4-4-44400000000000000000000000000000000004-4-4444-4-4-4-44400000000000000000000000000000000004-4-4444-4-4-4-4440000000000000000000000000000000000
χ4711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ48111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111
χ4911111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111111
χ5011111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1
χ511111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ521111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ531111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ541111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1
χ55111111111111-1-1-1-1111111-1-1-1-111-1-1111-1-1-111-1-111-1-11-1111111111111-1-1-1-1111111-1-1-1-111-1-1111-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1111-1-111-1-111-11
χ56111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-111-1-111-11111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-11-1
χ57111111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-1-111-11111111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-11111-1-11-1
χ58111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-11111-1-11-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-1-111-1-1-1-111-11
χ59111111111111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-111111-1-111-1-1-11
χ60111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11111-1-111-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-11-1-1-1-111-1-1111-1
χ61111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11111-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1111-1
χ62111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-11
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χ702222-2-2-2-2-22-220000−2i−2i2i2i0000000000-2200002i−2i000000002222-2-2-2-2-22-220000−2i−2i2i2i0000000000-2200002i−2i00000000-2-2-2-222222-22-200002i2i−2i−2i00000000002-20000−2i2i00000000
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Here i is the imaginary unit (i² = −1).