Finite Group Databasebeta

← Group #72338577

Character table — Group #72338577

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222244444444444444442244444444444444442222222244444444222222444444444444444444888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111
χ911111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1411111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1511111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ171111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-11111-1-111-1-111-1-111-1-11-11-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-11111-1-111-1-111-1-111-1-11-11-1-11-111-11-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ191111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-11111-1-111-1-111-1-111-1-1-11-111-11-1-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ201111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ211111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-111-1-111-1-111-1-111-1-1111-11-11-11-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ221111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-111-1-111-1-111-1-111-1-1111-11-1-11-111-11-1-11-11-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ231111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-111-1-111-1-111-1-111-1-111-11-111-11-1-11-111-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ241111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-111-1-1111-1-111-1-111-1-111-1-111-1-111-11-11-11-11-11-11-11-1111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ251111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11-111-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-11-1-11-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ281111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ291111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-111-1-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ301111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11-111-11-1-11-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ311111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-11-1-11-111-11-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ321111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-111-1-111-1-111-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ33222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-22-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ34222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ3522222222222222-2-2-2-222-2-22222-2-22222-2-2-2-2-22-22-22-2-22-2-2-2000000000000000000000000000000002-22-22-22-2000000000000000000000000
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χ3922222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2222222-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
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χ51222222-2-222-2-2-2-2-2-2-2-2-2-222-2-22222-2-22-2-22-2222-22-222-2-2-222000000000000000000002-22-20000-22-2200000000000000000000000000000000
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χ53222222-2-2-2-222-2-222-2-22222-2-222-2-222-222-2-222-2-2-2-22-22-22-22000000000000000000000000000000000000000000000000000000002-22-2-22-22
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χ682222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-22222-22-2-222-22-2-22-2200000000000000000000000000000000000000000000000000000000-222-2-222-2
χ692222-2-222-2-222-2-222-2-222-2-2222222-2-22-2-2-22-222-2-22-2-22-2-2220000000000000000000022-2-20000-2-22200000000000000000000000000000000
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χ752222-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-222222-222-22-2-2-2222-222-2-22000000000000000000000000000000000000000000000000000000002-2-22-222-2
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χ772222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2-22-2-22-222-2-2222-2-22000000000000000022220000-2-2-2-2000000000000000000000000000000000000
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χ822222-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-22-222-2-2-222-2-2-2222-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
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χ852222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22222-2222-22-2-22-2222-2-2-2000000000000000000000000000000002-2-22-222-2000000000000000000000000
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χ872222-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2222-2-2-22-2-222222-2-22-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ882222-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2222-2-2-22-2-222222-2-22-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ8944-4-400004-400004-44-4004i−4i4i−4i004i−4i4i−4i0000000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
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χ9344-4-400004-40000-44-44004i−4i−4i4i004i−4i−4i4i0000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9444-4-400004-40000-44-44004i−4i−4i4i004i−4i−4i4i000000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ9544-4-400004-40000-44-4400−4i4i4i−4i00−4i4i4i−4i0000000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ9644-4-400004-40000-44-4400−4i4i4i−4i00−4i4i4i−4i000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9744-4-40000-4400004-4-44004i−4i−4i4i00−4i4i4i−4i0000000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ9844-4-40000-4400004-4-44004i−4i−4i4i00−4i4i4i−4i000000000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9944-4-40000-4400004-4-4400−4i4i4i−4i004i−4i−4i4i0000000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ10044-4-40000-4400004-4-4400−4i4i4i−4i004i−4i−4i4i000000000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ10144-4-40000-440000-444-4004i−4i4i−4i00−4i4i−4i4i0000000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ10244-4-40000-440000-444-4004i−4i4i−4i00−4i4i−4i4i000000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ10344-4-40000-440000-444-400−4i4i−4i4i004i−4i4i−4i0000000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ10444-4-40000-440000-444-400−4i4i−4i4i004i−4i4i−4i000000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1058-88-80000008-80000008-800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-80000008-8000000-880000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8000000-880000008-80000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8000000-88000000-8800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-88-800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-8-880000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-888-80000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-88-8800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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