Finite Group Databasebeta

← Group #72226455

Character table — Group #72226455

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222244444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161625252525404040404040404050505050505080808080808080808080808080808080100100100100100100100100200200200200200200200200200200200200200200
order122222444455101010101010225510101010101010101010101010101010101020202020202020201010101010101010101010101010101010101010101010102020202020202020222222444444224444101010102020202020202020202020204444444422444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i-1-1ii−i−iiiii−i−i−i−i
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii-1-1−i−iii−i−i−i−iiiii
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111iiii−i−i−i−i-1-1ii−i−i−i−i−i−iiiii
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111−i−i−i−iiiii-1-1−i−iiiiiii−i−i−i−i
χ9111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ13111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i11−i−iiiii−i−i−i−iii
χ14111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1−i−i−i−iiiii11ii−i−i−i−iiiii−i−i
χ15111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111iiii−i−i−i−i11−i−iii−i−iiiii−i−i
χ16111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111−i−i−i−iiiii11ii−i−iii−i−i−i−iii
χ17222222-2-2-2-2222222222-222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-2-2-20000000000000000000000002-2000000000000
χ18222222-2-2-2-2222222222-222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22222000000000000000000000000-22000000000000
χ19222222-2-2-2-222222222-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000022-2-2-2-2000000000000000000000000-22000000000000
χ20222222-2-2-2-222222222-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222220000000000000000000000002-2000000000000
χ212222-2-222-2-2222222220022-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-22222002-22-200-2-22-22-2000022-2-222-2-200000000000000000000000000
χ222222-2-222-2-2222222220022-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2222200-22-2200-2-22-22-20000-2-222-2-22200000000000000000000000000
χ232222-2-222-2-2222222220022-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2-2-2002-2-220022-22-22000022-2-2-2-22200000000000000000000000000
χ242222-2-222-2-2222222220022-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2-2-200-222-20022-22-220000-2-22222-2-200000000000000000000000000
χ252222-2-2-2-222222222220022-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000-2-2-2-222222222220000-2-2-2-2-22-22222200000000-2-2-2-20000000000000000000000
χ262222-2-2-2-222222222220022-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000-2-2-2-222222222-2-2000022-2-2-22-22-2-2-2-20000000022220000000000000000000000
χ272222-2-2-2-222222222220022-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000-2-2-2-22222-2-2-2-22-20000-22222-22-222-2-200000000-2-2220000000000000000000000
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χ302-2-222-22-22-222-2-2-2-222002222-2-2-2-2-2-22222-2-2-2-22222-2-222-2-200000000000000000000000022-2-222-2-222-2-2000000002-22-2-220000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
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χ322-2-222-22-22-222-2-2-2-222002222-2-2-2-2-2-22222-2-2-2-22222-2-222-2-200000000000000000000000022-2-222-2-2-2-22200000000-22-222-20000000000000000-2-22222-2-200000000000000
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χ382-2-22-222-2-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000000000000022-2-2-2-22222-2-200000000-2222-2-200000000000000000000000000000000−2i2i00−2i2i
χ392-2-22-222-2-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000000000000022-2-2-2-222-2-222000000002-2-2-222000000000000000000000000000000002-200-22
χ402-2-22-222-2-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000000000000022-2-2-2-222-2-222000000002-2-2-22200000000000000000000000000000000-22002-2
χ412-2-22-22-222-222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-2222222-2-22222-2-2000000000000000000000000-2-22222-2-222-2-200000000-22-2-2220000000000000000000000000000002-2002-200
χ422-2-22-22-222-222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-2222222-2-22222-2-2000000000000000000000000-2-22222-2-222-2-200000000-22-2-222000000000000000000000000000000-2200-2200
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χ4544444444444-144-1-14-144-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000400440400000000-1-10000-1-1-1-100-1-10000000000000000000000
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χ4744444444444-144-1-14-1-4-4-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-4-411-4-4111111111111111111-1-1-1-1-1-1-1-100000400-4-40400000000-1-10000111100-1-10000000000000000000000
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χ494444444444-14-1-144-1444-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000040440040000000-1-100-1-1-1-10000-1-1000000000000000000000000
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χ514444444444-14-1-144-14-4-4-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-1411-4-411-4-41111111111111111-1-1-1-1-1-1-1-1000040-4-40040000000-1-10011110000-1-1000000000000000000000000
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Here i is the imaginary unit (i² = −1).