Finite Group Databasebeta

← Group #72313383

Character table — Group #72313383

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size11111111111111112222222222222222222222224444444488888888888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616
order1222222222222222222222224444444444444444222222222222444444444444444444444444444444444444444488888888888888882222444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ91111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ131111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ141111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ151111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ161111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ191111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ201111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-111-1-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111
χ251111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111
χ261111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1
χ271111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ281111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ291111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1
χ301111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111
χ311111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ321111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ33222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2220000000000000000000000000000000000000000000000000000000000002-22-2000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-2-2-222-2-2000000000000000000000000000000000000000000000000000000000000-22-22000000000000
χ35222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222000000000000000000000000000000000000000000000000000000000000-22-22000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000000000000000000000000000000000000000000000002-22-2000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-22000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000-222-2000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-2000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222220000000000000000000000000000000000000000000000000000000000002-2-22000000000000
χ4122222-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-22222-2-2-2-2222-200000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000002-22-2
χ4222222-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-22222-2-2-2-2222-200000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000-22-22
χ4322222-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-22222-2-2-2-2222-20000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-22-22
χ4422222-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-22222-2-2-2-2222-20000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000002-22-2
χ4522222-2-222-2-2-2-22-2-2-2-2-2-222222-2-2-2-2-2-2-22222222-200000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000002-2-22
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χ4722222-2-222-2-2-2-22-2-2-2-2-2-222222-2-2-2-2-2-2-22222222-20000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000-222-2
χ4822222-2-222-2-2-2-22-2-2-2-2-2-222222-2-2-2-2-2-2-22222222-20000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000002-2-22
χ49222-2-222-2-222-2-22-2-222-2-222-2-2-22-2-222-2-222-2-222-2200000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002-22-20000
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χ58222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-200002-22-20000-2-222-2-2220000000000000000000000000000000000000000-22-22000000000000000000000000
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χ60222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2220000-22-220000-2-222-2-22200000000000000000000000000000000000000002-22-2000000000000000000000000
χ61222-2-2-2-2-2-2-2-22222222-2-2-2-222-2-22222-2-2-2-22222-2-222-2-222-2-20000-22-220000000000002-2-222-2-220000000000000000000000000000000000000000000000002-22-200000000
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χ63222-2-2-2-2-2-2-2-22222222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-222-2-22200002-22-20000000000002-2-222-2-22000000000000000000000000000000000000000000000000-22-2200000000
χ64222-2-2-2-2-2-2-2-22222222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-222-2-22200002-22-2000000000000-222-2-222-20000000000000000000000000000000000000000000000002-22-200000000
χ65222-2-2-2-2-2-2-2-222222-2-22222-2-222-2-222-2-2-2-222-2-22222-2-2-2-22200002-2-22000022-2-2-2-22200000000000000000000000000000000000000002-2-22000000000000000000000000
χ66222-2-2-2-2-2-2-2-222222-2-22222-2-222-2-222-2-2-2-222-2-22222-2-2-2-22200002-2-220000-2-22222-2-20000000000000000000000000000000000000000-222-2000000000000000000000000
χ67222-2-2-2-2-2-2-2-222222-2-22222-2-222-2-222-2-2-2-222-2-222-2-22222-2-20000-222-2000022-2-2-2-2220000000000000000000000000000000000000000-222-2000000000000000000000000
χ68222-2-2-2-2-2-2-2-222222-2-22222-2-222-2-222-2-2-2-222-2-222-2-22222-2-20000-222-20000-2-22222-2-200000000000000000000000000000000000000002-2-22000000000000000000000000
χ69222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-222-2-22222-2-222-2-222-2-2-2-2220000-222-20000000000002-2-22-222-20000000000000000000000000000000000000000000000002-2-2200000000
χ70222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-222-2-22222-2-222-2-222-2-2-2-2220000-222-2000000000000-222-22-2-22000000000000000000000000000000000000000000000000-222-200000000
χ71222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-222-2-22222-2-222-2-2-2-22222-2-200002-2-220000000000002-2-22-222-2000000000000000000000000000000000000000000000000-222-200000000
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Here i is the imaginary unit (i² = −1).