Finite Group Databasebeta

← Group #72271723

Character table — Group #72271723

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444448888888888888888888888888888888888888888888888881616161616161616161616161616161616162424242424242424484848484848484848484848
order122222222222366666666666666622222222444422222222444466666666666666666666666612121212121212121212121244444412121212121212121212121244444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ1011-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1111-1-1-1-111-1-111iiii−i−i−i−iii−i−i−i−iii−i−iii
χ1211-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1111-1-1-1-111-1-111−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ1311-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-111iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ1411-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-111−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ1511-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-11-11-1-111-1-11111-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ1611-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-11-11-1-111-1-11111-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222-2-22-22-2-2-2-2-200002222000022-2-222-2-20000000022222222-2-2-2-2000000000000-2-20000-2-2-2-2000000000000000000000000
χ18222222222222222222222222222222-2-22-22-2-2-2-2-20000-2-2-2-2000022-2-222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-20000000000002200002222000000000000000000000000
χ192222222222222222222222222222-2-222-22-22-2-2-2-2222200000000-2-222-2-2222222222200000000-2-2-2-20000000000-2-200-2-2-2-20000000000000000000000000000
χ202222222222222222222222222222-2-222-22-22-2-2-2-2-2-2-2-200000000-2-222-2-222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000220022220000000000000000000000000000
χ212222222222222222222222222222-2-2-2-2-2-2-2-22222000000002222-2-2-2-2-2-2-2-20000000000000000222222222222-2-2000000000000-2-2-2-200000000000000000000
χ222222222222222222222222222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-222000000000000222200000000000000000000
χ23222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ24222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-2-222-2-2-1-1-1-11111111100000000000000000000
χ25222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2221111-1-1-1-1111100000000000000000000
χ26222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-1-1-1-100000000000000000000
χ27222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22-22-2-2-2-2-2000022220000-1-111-1-111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i30000-2-2−i3i3−i3i31111−i3i3−i3i300000000000000000000
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χ29222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22-22-2-2-2-2-20000-2-2-2-20000-1-111-1-111−i3−i3i3i3−i3−i3i3i3111111111111i3i3−i3−i3i3i3−i3−i3000022−i3i3−i3i3-1-1-1-1i3−i3i3−i300000000000000000000
χ30222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22-22-2-2-2-2-20000-2-2-2-20000-1-111-1-111i3i3−i3−i3i3i3−i3−i3111111111111−i3−i3i3i3−i3−i3i3i3000022i3−i3i3−i3-1-1-1-1−i3i3−i3i300000000000000000000
χ31222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-22-22-2-2-2-222220000000011-1-111-1-1-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i300-2-2001111−i3i3−i3i3i3−i3i3−i300000000000000000000
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χ33222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-22-22-2-2-2-2-2-2-2-20000000011-1-111-1-111111111−i3−i3i3i3−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i3002200-1-1-1-1−i3i3−i3i3−i3i3−i3i300000000000000000000
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χ35222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000222211111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-1-2-20000i3−i3i3−i3i3−i3i3−i3111100000000000000000000
χ36222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000222211111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-2-20000−i3i3−i3i3−i3i3−i3i3111100000000000000000000
χ37222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-2-2-2-211111111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111220000i3−i3i3−i3−i3i3−i3i3-1-1-1-100000000000000000000
χ38222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-2-2-2-211111111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111220000−i3i3−i3i3i3−i3i3−i3-1-1-1-100000000000000000000
χ3922-2-222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-22-22-2-222000022-2-2000022-2-2-2-222000000002222-2-2-2-2-2-222000000000000-220000-2-222000000000000000000000000
χ4022-2-222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-22-22-2-2220000-2-222000022-2-2-2-22200000000-2-2-2-22222-2-2220000000000002-2000022-2-2000000000000000000000000
χ4122-2-222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2222-22-2-2-22222-2-200000000-2-22222-2-22222-2-2-2-200000000-2-2220000000000-2200-2-2220000000000000000000000000000
χ4222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2222-22-2-2-222-2-22200000000-2-22222-2-2-2-2-2-2222200000000-2-22200000000002-20022-2-20000000000000000000000000000
χ4322-2-222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-20000000022-2-2-2-2-2-22222000000000000000022-2-22222-2-2-2-2-22000000000000-2-22200000000000000000000
χ4422-2-222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-200000000-2-222-2-2-2-22222000000000000000022-2-2-2-2-2-222222-200000000000022-2-200000000000000000000
χ4522-2-222-2-2-2-222-1-111111111-1-1-1-1-1-12222-2-2-2-222-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111112-22-22-2-1-111-1-111-1-11100000000000000000000
χ4622-2-222-2-2-2-222-1-111111111-1-1-1-1-1-12222-2-2-2-222-2-222-2-2-2-222-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-222-2-22-1-11111-1-111-1-100000000000000000000
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χ4822-2-222-2-2-2-222-1-111111111-1-1-1-1-1-12222-2-2-2-222-2-2-2-222-2-22222-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111112-2-22-2211-1-111-1-1-1-11100000000000000000000
χ4922-2-222-2-2-2-222-1-111111111-1-1-1-1-1-122-2-2-22-22-2-222000022-2-20000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-1111111-1-1−i3−i3i3i3i3i3−i3−i30000-22−i3i3i3−i311-1-1−i3i3i3−i300000000000000000000
χ5022-2-222-2-2-2-222-1-111111111-1-1-1-1-1-122-2-2-22-22-2-222000022-2-20000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-1111111-1-1i3i3−i3−i3−i3−i3i3i30000-22i3−i3−i3i311-1-1i3−i3−i3i300000000000000000000
χ5122-2-222-2-2-2-222-1-111111111-1-1-1-1-1-122-2-2-22-22-2-2220000-2-2220000-1-11111-1-1−i3−i3i3i3i3i3−i3−i31111-1-1-1-111-1-1i3i3−i3−i3−i3−i3i3i300002-2−i3i3i3−i3-1-111i3−i3−i3i300000000000000000000
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χ5622-2-222-2-2-2-222-1-111111111-1-1-1-1-1-1-2-2222-22-2-2-222-2-2220000000011-1-1-1-1111111-1-1-1-1i3i3−i3−i3−i3−i3i3i311-1-1−i3−i3i3i3i3i3−i3−i3002-200-1-111i3−i3−i3i3i3−i3−i3i300000000000000000000
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χ5822-2-222-2-2-2-222-1-111111111-1-1-1-1-1-1-2-2-2-2222222-2-20000000022-2-21111-1-1-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-111-1-1-1-11111-220000−i3i3i3−i3−i3i3i3−i311-1-100000000000000000000
χ5922-2-222-2-2-2-222-1-111111111-1-1-1-1-1-1-2-2-2-2222222-2-200000000-2-2221111-1-1-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3-1-1111111-1-1-1-12-20000i3−i3−i3i3−i3i3i3−i3-1-11100000000000000000000
χ6022-2-222-2-2-2-222-1-111111111-1-1-1-1-1-1-2-2-2-2222222-2-200000000-2-2221111-1-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-1-1111111-1-1-1-12-20000−i3i3i3−i3i3−i3−i3i3-1-11100000000000000000000
χ612-2222-2-2-22-2-222-22222-2-2-2-22-2-222-22-22-222-2-22-2-220000000000002-22-22-22-200000000000000002-22-2000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ622-2222-2-2-22-2-222-22222-2-2-2-22-2-222-22-22-222-2-22-2-220000000000002-22-22-22-200000000000000002-22-200000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ632-2222-2-2-22-2-222-22222-2-2-2-22-2-222-22-2-222-2-22-222-20000000000002-2-222-2-220000000000000000-22-22000000000000000000000000000000000000002i−2i2i−2i0000
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Here i is the imaginary unit (i² = −1).