Finite Group Databasebeta

← Group #72257631

Character table — Group #72257631

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size11111111222222222222222222222222222244444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222244444444444444444444442222444444444444222222224444444444444444444444442222444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ191111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-11-11-11-11-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ211111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-11111-1-1111-11-11-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ221111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-11111-1-111-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111-1-11-11-11-11-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ241111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111-1-1-11-11-11-1111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111-1-111-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ281111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ291111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ301111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ311111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ321111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-111-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ33222222222222-2-2222222-2-2222222-2-22222-2-22-2-2-22-2-2-22-2-2-22-2-2-2000022-2-200000000-2-2-2-22222000022-2-20000000000000000000000000000000000000000
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χ392222222222-2-222-2-2-2-222-2-2-2-2-2-222-2-222-2-222-22-2-22-2222-222-22-2-222220000-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000000000000000
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χ5922222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-22-22-22-22222-200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ6022222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-22-22-22-22222-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ612222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2222-2-2-22-2-2-2-2222-22220000222200000000-2-22222-2-20000-2-2-2-20000000000000000000000000000000000000000
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χ632222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222-2-2-2-22222-2-2-2-2222000022-2-200000000-2-222-2-2220000-2-2220000000000000000000000000000000000000000
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χ662222-2-2-2-222-2-2222222-2-222-2-2-2-222-2-2-2-222-2-2-22-2-2-22-2-22-2222-222-2-222000022-2-2-2-2220000000022-2-200000000000000000000000000000000000000000000
χ672222-2-2-2-222-2-222-2-2-2-222-2-22222-2-222-2-222-2-2-22-2-22-222-22-2-22-22222220000-2-222-2-22200000000-2-2-2-200000000000000000000000000000000000000000000
χ682222-2-2-2-222-2-222-2-2-2-222-2-22222-2-222-2-222-2-2-22-2-22-222-22-2-22-222-2-2-2-2000022-2-222-2-200000000222200000000000000000000000000000000000000000000
χ692222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-22222-2-222-2-200000000000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ702222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000-222-2-222-2000000000000000000000000
χ712222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000002-2-22-222-2000000000000000000000000
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χ742222-2-2-2-2-2-2222222-2-222-2-2-2-222-2-22222-2-2-2-2-2-22-2-222-22-2-2222-2200000000000000000000000000000000-2-2-2-2222200000000000000000000000000000000
χ752222-2-2-2-2-2-22222-2-222-2-22222-2-222-2-222-2-2-2-2-2-22-22-2-22-222-222-220000000000000000000000000000000022-2-2-2-22200000000000000000000000000000000
χ762222-2-2-2-2-2-22222-2-222-2-22222-2-222-2-222-2-2-2-2-2-22-22-2-22-222-222-2200000000000000000000000000000000-2-22222-2-200000000000000000000000000000000
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χ1114-44-44i−4i4i−4i00-4400-44004-400−4i4i004i−4i0000−4i4i0000000000000000002-22-20000-22−2i2i-22−2i2i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ1124-44-44i−4i4i−4i00-4400-44004-400−4i4i004i−4i0000−4i4i000000000000000000-22-2200002-22i−2i2-22i−2i00000000−2i2i−2i2i00000000000000000000000000000000000000000000
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χ1174-44-4−4i4i−4i4i00-44004-400-4400−4i4i004i−4i00004i−4i0000000000000000002-2-220000-222i−2i2-2−2i2i00000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ1184-44-4−4i4i−4i4i00-44004-400-4400−4i4i004i−4i00004i−4i000000000000000000-222-200002-2−2i2i-222i−2i000000002i−2i−2i2i00000000000000000000000000000000000000000000
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χ1204-44-4−4i4i−4i4i00-4400-44004-4004i−4i00−4i4i00004i−4i000000000000000000-22-2200002-2−2i2i2-2−2i2i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ1218-8-888-8-888-8000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-8-88-8800000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-888-88-800000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-888-8-88000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).