Finite Group Databasebeta

← Group #72317153

Character table — Group #72317153

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222222224444444444444488888888888888888816161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222222222224444222222222222444444444444442224444444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-11111-1-11111111-1-1-1111-1-1-11111-1-1-1-111-11-1-1-111-1-1-11-111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111-1-11111-1-11111111-1-1-1111-1-1-11111-1-1-1-111-11-1-1-111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111
χ711111111111111111111111111111111111111-1-11111-1-11111111-1-1-1111-1-1-11111-1-1-1-111-1-11-1-1-1-111-1-1111-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-11111-1-11111111-1-1-1111-1-1-11111-1-1-1-111-1-11-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111-1-1
χ91111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1111111-111-1-11111-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ101111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1111111-111-1-11111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ121111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ131111111111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ141111111111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1111-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111111111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ171111111111111111-1-1-1-1-1-11111-1-11111-1-1111111-1-11111111-1-1-1-1111-1-111111111-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ181111111111111111-1-1-1-1-1-11111-1-11111-1-1111111-1-11111111-1-1-1-1111-1-111111111-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ191111111111111111-1-1-1-1-1-11111-1-11111-1-1111111-1-11111111-1-1-1-1111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii
χ201111111111111111-1-1-1-1-1-11111-1-11111-1-1111111-1-11111111-1-1-1-1111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i
χ211111111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-11-11111-1-1-11-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111−i−iii−i−iiii−i−iii−i−ii
χ221111111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-11-11111-1-1-11-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111ii−i−iii−i−i−iii−i−iii−i
χ231111111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1111-1-111-1-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1−i−iii−i−iii−iii−i−iii−i
χ241111111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1111-1-111-1-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1ii−i−iii−i−ii−i−iii−i−ii
χ251111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-111-1-111ii−i−i−i−iiii−i−ii−iii−i
χ261111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-111-1-111−i−iiiii−i−i−iii−ii−i−ii
χ271111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii111111-1-111-1-1ii−i−i−i−iii−iii−ii−i−ii
χ281111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i111111-1-111-1-1−i−iiiii−i−ii−i−ii−iii−i
χ291111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-111-1-111-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−ii−ii−i−ii−ii
χ301111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-111-1-111-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iii−ii−iii−ii−i
χ311111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11-11-1-1-1-1111-11111111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111−i−iiiii−i−i−ii−iii−ii−i
χ321111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11-11-1-1-1-1111-11111111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111ii−i−i−i−iiii−ii−i−ii−ii
χ33222222222222222222222222222222-2-22222222222-2-222-22222222-2-2-2-2-22-2-2-2-2-2-22222-2-2200-2-20000200-2-2-2-2-2-22200000000000000000000000000000000000000000000
χ34222222222222222222222222222222-2-2222222-2-222-2-2-2-2-2222222-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-200220000-200-2-22222-2-200000000000000000000000000000000000000000000
χ35222222222222222222222222222222-2-222-2-2-2-22222-2-222-2-2-2-2-2-2-22-2-2-2-2-22-2-222222222-2-2-200220000-20022-2-222-2-200000000000000000000000000000000000000000000
χ36222222222222222222222222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2200-2-200002002222-2-22200000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-22222-2-222-2-2-2-2222222-2-2-2-222-222-2-2-2-22-2-222-22-2-2-2-2-2-2-2-2-2-2222002200002002222-2-2-2-200000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-22222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-222-2-2-2-2-22222-2-222-2-2-2-2222222-200-2-20000-20022-2-2222200000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-222222-2-222-22-2-22222-2-2-2-222-200-2-20000-200-2-222222200000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-22222-2-2222222222222200220000200-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ412222-2-2-2-2222222-2-2222-2-2-222222-2-2-2222-20000222-22222-2000000-22-22-2-2-22-2000022-2-22-202200-2-2-2-2022002-2000000000000000000002-22-2000000000000000000000000
χ422222-2-2-2-2222222-2-2222-2-2-222222-2-2-2222-20000222-22222-2000000-22-22-2-2-22-2000022-2-22-20-2-20022220-2-2002-200000000000000000000-22-22000000000000000000000000
χ432222-2-2-2-2222222-2-2222-2-2-222222-2-2-2222-20000-2-22-222-2-2-20000002-222-2-22-220000-2-2222-202-200-2-22202-200-22000000000000000000002-2-22000000000000000000000000
χ442222-2-2-2-2222222-2-2222-2-2-222222-2-2-2222-20000-2-22-222-2-2-20000002-222-2-22-220000-2-2222-20-220022-2-20-2200-2200000000000000000000-222-2000000000000000000000000
χ452222-2-2-2-2222222-2-2222-2-2-222222-2-2-2-2-22-20000222-2-2-2222000000-2-22-222-2-22000022-2-2-2200000000000000-220000000000000000000000002-22-22-22-20000000000000000
χ462222-2-2-2-2222222-2-2222-2-2-222222-2-2-2-2-22-20000222-2-2-2222000000-2-22-222-2-22000022-2-2-2200000000000000-22000000000000000000000000-22-22-22-220000000000000000
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χ542222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-2-2-22000022-22-2-2222000000-2-222-22-2-220000-2-2222-2000000000000002-2000000000000000000000000-222-2-222-20000000000000000
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χ562222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-2-2-220000-2-2-22-2-2-2-2200000022-22-2222-2000022-2-22-200000000000000-22000000000000000000000000-222-22-2-220000000000000000
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χ1198-88-88-80000000000-444-4440000-4-4000000-44-44000000000004-4000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ1208-88-88-80000000000-444-4440000-4-4000000-44-44000000000004-400000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
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χ1278-8-880000-888-8-88000000000000000000004-4-4400008-8000-4400000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-880000-888-8-88000000000000000000004-4-440000-88000-440000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).