Finite Group Databasebeta

← Group #72238410

Character table — Group #72238410

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size112222222444444444488888888888888888888816161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222444444222222222224444444444444444444444422224444444444444444444444444444888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ6111111111111111111111111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ7111111111111111111111111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ911111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-111-1-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-111-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-11-11-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-11-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1111111-1-11-1-1-11-111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1111111-1-11-1-1-11-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-11-11-11-11
χ191111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1111111-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-11-11-11-11
χ201111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1111111-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-11-11-1
χ211111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1111-11-1-111-1-1111111-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1111-11-1-111-1-1111111-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-111111111111-1111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11-111-1
χ301111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-111111111111-1111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-11-1-11
χ311111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
χ33222222222222-2-2-2-2222222-2-2-2-2-2-20000222222-2-2000000-20000-200002-22-222-2-2000022-2-22-2000200022-20000-2-222-2-20000002-22-200000000000000000000000000
χ34222222222222-2-2-2-2222222-2-2-2-2-2-20000222222-2-2000000-20000-200002-22-222-2-2000022-2-22-2000-2000-22-2000022-2-222000000-22-2200000000000000000000000000
χ35222222222222-2-2-2-2222222-2-2-2-2-2-200002222-2-222000000-20000-20000-22-2222-2-20000-2-222-2200020002-220000-2-222-2-2000000-22-2200000000000000000000000000
χ36222222222222-2-2-2-2222222-2-2-2-2-2-200002222-2-222000000-20000-20000-22-2222-2-20000-2-222-22000-2000-2-22000022-2-2220000002-22-200000000000000000000000000
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χ38222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2-2-222-2-200000020000200002-2-22-2-2220000-2-222-22000-2000-22-200002222-2-2000000-222-200000000000000000000000000
χ39222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2-2-2-2-2220000002000020000-222-2-2-222000022-2-22-200020002-220000-2-2-2-222000000-222-200000000000000000000000000
χ40222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2-2-2-2-2220000002000020000-222-2-2-222000022-2-22-2000-2000-2-2200002222-2-20000002-2-2200000000000000000000000000
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χ452222222222-2-222-2-2222-2-2-2222-2-2-20000-2-2-2-222-2-200000020000200002-2-2222-2-2000022-2-2-2200200020-2200-2-2000000-2-2222-20000-22000000000000000000000000
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χ542222222222-2-2-2-222222-2-2-2-2-2-2222-2-2-2-22222-2-2-2-2-2-222222-2-2222-2-222-2-2-2-2-2-2-2-222222222-2-2-2200-220022-2-200000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).