Finite Group Databasebeta

← Group #72339584

Character table — Group #72339584

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222224444444444442222222244444444448888888888888888222244444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ9111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ14111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ15111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ16111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1711111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1111-11-11-11-11-1-1-11-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-111-111-11-1-11-11-1-1-1111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-11-111-11-1111-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-11-11-11
χ2011111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11-11-11-1111-11-1-111-1-11111-1-111-1-1-1-111-1-1111-11-11-11-1
χ2111111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-1-1-1-11111-1-1-1-11111111-11-11-11-11-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2211111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-1-1-1-11111-1-1-1-1111111-111-11-1-11-11-1-1-11-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ2311111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-111-11-1111-111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11
χ2411111-1-1-1-111-1-11111111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-11-11-1111-1111-1-111-1-1-1-111-1-11111-1-111-1-11-11-11-11-1
χ2511111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-11-11-1-111-1-11-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-111-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-111-1-111-11-1-111-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1
χ2811111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-11-111-1-111-11-11-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-111-1-11
χ2911111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-11-11-1-111-1-11-11-11-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ3011111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ3111111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-111-1-111-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-111-1
χ3211111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-11-11-111-1-111-11-11-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-111-1-11
χ33222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-22-22-20000000000000000
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χ352222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-22-2-22-2-22-22-222-222-2000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ362222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-22-2-22-2-22-22-222-222-200000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ372222222222222-2-2-2-22-2-2-2-222222222-2-22-2-22-2-2-22-22-2-22-2-22000000000000000000220000-2-2-2-2002200000000000000000000000000000000
χ382222222222222-2-2-2-22-2-2-2-222222222-2-22-2-22-2-2-22-22-2-22-2-22000000000000000000-2-20000222200-2-200000000000000000000000000000000
χ39222222222-2-2-2-222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000000000002-22-2-22-220000000000000000
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χ41222222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-222-2222-22-2-2-22-2-22000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ42222222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-222-2222-22-2-2-22-2-2200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ43222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2-2-222-2-2-222-222-22-2222-222-2000000000000000000220000-2-22200-2-200000000000000000000000000000000
χ44222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2-2-222-2-2-222-222-22-2222-222-2000000000000000000-2-2000022-2-2002200000000000000000000000000000000
χ4522222-2-2-2-222-2-222222-2-22222-2-222-2-2-2-2222-2-2-2-2-222-2-2-222200000000000000000000000000000000000000002-2-222-2-220000000000000000
χ4622222-2-2-2-222-2-222222-2-22222-2-222-2-2-2-2222-2-2-2-2-222-2-2-22220000000000000000000000000000000000000000-222-2-222-20000000000000000
χ4722222-2-2-2-222-2-2-2-2-2-2222-2-222-2-222-2-2222-2-2-2222-2-2222-2-2-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4822222-2-2-2-222-2-2-2-2-2-2222-2-222-2-222-2-2222-2-2-2222-2-2222-2-2-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ4922222-2-2-2-222-2-2-2-2-2-22-2-222-2-222-2-222222-2-2-222-222-2-2-2222-20000000000000000002-20000-22-22002-200000000000000000000000000000000
χ5022222-2-2-2-222-2-2-2-2-2-22-2-222-2-222-2-222222-2-2-222-222-2-2-2222-2000000000000000000-2200002-22-200-2200000000000000000000000000000000
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χ5222222-2-2-2-2-2-22222222-2-2222222-2-2-2-2-2-2-2-2-2222-2-222222-2-2-20000000000000000000000000000000000000000-222-22-2-220000000000000000
χ5322222-2-2-2-2-2-222-2-2-2-2222-2-22222-2-2-2-222-2222-2-22-2-22-2-2222-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5422222-2-2-2-2-2-222-2-2-2-2222-2-22222-2-2-2-222-2222-2-22-2-22-2-2222-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ5522222-2-2-2-2-2-222-2-2-2-22-2-222-2-2-2-2222222-2222-2-2-222-222-2-2-220000000000000000002-20000-222-200-2200000000000000000000000000000000
χ5622222-2-2-2-2-2-222-2-2-2-22-2-222-2-2-2-2222222-2222-2-2-222-222-2-2-22000000000000000000-2200002-2-22002-200000000000000000000000000000000
χ572222-222-2-2222222-2-2-222-2-2222222222-2-22-2-22-2-2-22-22-2-22-2-2000000000000000000000000000000000000000000000000000000002222-2-2-2-2
χ582222-222-2-2222222-2-2-222-2-2222222222-2-22-2-22-2-2-22-22-2-22-2-200000000000000000000000000000000000000000000000000000000-2-2-2-22222
χ592222-222-2-2222222-2-2-2-2-222-2-2-2-2-2-2-2-22-2-22-2-22-222-22-222-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ602222-222-2-2222222-2-2-2-2-222-2-2-2-2-2-2-2-22-2-22-2-22-222-22-222-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ612222-222-2-22222-2-222-222-2-2-2-2-2-2-2-2-2-2-22-2-22-2-22-22222-222-220000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ622222-222-2-22222-2-222-222-2-2-2-2-2-2-2-2-2-2-22-2-22-2-22-22222-222-22000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ632222-222-2-22222-2-222-2-2-22222222222-22-2-22-2-222-2-2-2-22-2-22-200000000000000002200-2-2-2-20000220000000000000000000000000000000000
χ642222-222-2-22222-2-222-2-2-22222222222-22-2-22-2-222-2-2-2-22-2-22-20000000000000000-2-20022220000-2-20000000000000000000000000000000000
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χ662222-222-2-2-2-2-2-222-2-2-222-2-222-2-2-2-2222-22-222-22-2-22-2-222-22200000000000000000000000000000000000000000000000000000000-2-22222-2-2
χ672222-222-2-2-2-2-2-222-2-2-2-2-222-2-22222-2-22-22-222-2222-222-2-22-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ682222-222-2-2-2-2-2-222-2-2-2-2-222-2-22222-2-22-22-222-2222-222-2-22-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ692222-222-2-2-2-2-2-2-2-222-222-2-2-2-22222-2-2-2222-222-2-2222-22-2-22-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ702222-222-2-2-2-2-2-2-2-222-222-2-2-2-22222-2-2-2222-222-2-2222-22-2-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ712222-222-2-2-2-2-2-2-2-222-2-2-22222-2-2-2-222-2222-222-22-2-2-22-222-2200000000000000002-200-2-22200002-20000000000000000000000000000000000
χ722222-222-2-2-2-2-2-2-2-222-2-2-22222-2-2-2-222-2222-222-22-2-2-22-222-220000000000000000-220022-2-20000-220000000000000000000000000000000000
χ732222-2-2-22222-2-222-2-2-22222-2-222-2-222-22-22-22-22-2-2-222-2-2-222000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ742222-2-2-22222-2-222-2-2-22222-2-222-2-222-22-22-22-22-2-2-222-2-2-22200000000000000000000000000000000000000000000000000000000-22-222-22-2
χ752222-2-2-22222-2-222-2-2-2-2-2-2-222-2-222-2-2-22-22-22-22222-2-2222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ762222-2-2-22222-2-222-2-2-2-2-2-2-222-2-222-2-2-22-22-22-22222-2-2222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ772222-2-2-22222-2-2-2-222-2222222-2-222-2-22-2-2-2222-2-22-2-22-22-22-20000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ782222-2-2-22222-2-2-2-222-2222222-2-222-2-22-2-2-2222-2-22-2-22-22-22-2000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ792222-2-2-22222-2-2-2-222-2-2-2-2-2-2-222-2-2222-2-2-2222-22-222-22-22-2200000000000000002200-22-220000-2-20000000000000000000000000000000000
χ802222-2-2-22222-2-2-2-222-2-2-2-2-2-2-222-2-2222-2-2-2222-22-222-22-22-220000000000000000-2-2002-22-20000220000000000000000000000000000000000
χ812222-2-2-222-2-22222-2-2-22222-2-2-2-22222-222-22-22-2-2-2-22-2222-2-2000000000000000000000000000000000000000000000000000000002-2-22-222-2
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χ832222-2-2-222-2-22222-2-2-2-2-2-2-22222-2-2-2-2-222-22-22-2222-22-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ842222-2-2-222-2-22222-2-2-2-2-2-2-22222-2-2-2-2-222-22-22-2222-22-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ852222-2-2-222-2-222-2-222-222222222-2-2-2-22-222-2-2-22-22-2-2-22-22-220000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
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χ882222-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-222222-222-2-2-222-2222-22-22-20000000000000000-22002-2-2200002-20000000000000000000000000000000000
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χ914-4-4404-4004-44-4000000000-44-44-44-440000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ924-4-4404-4004-44-4000000000-44-44-44-44000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000
χ934-4-4404-400-44-440000000004-4-44-444-40000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ944-4-4404-400-44-440000000004-4-44-444-4000000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ954-4-4404-400-44-44000000000-444-44-4-440000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000000000000000000000
χ964-4-4404-400-44-44000000000-444-44-4-44000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000000000000000000000
χ974-4-440-44004-4-440000000004-4-444-4-440000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000
χ984-4-440-44004-4-440000000004-4-444-4-44000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000
χ994-4-440-44004-4-44000000000-444-4-444-40000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1004-4-440-44004-4-44000000000-444-4-444-4000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1014-4-440-4400-444-40000000004-44-4-44-440000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ1024-4-440-4400-444-40000000004-44-4-44-44000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000000000000000
χ1034-4-440-4400-444-4000000000-44-444-44-40000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1044-4-440-4400-444-4000000000-44-444-44-4000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ10588-8-80008-80000000008i−8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-80008-8000000000−8i8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8000-880000000008i−8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8000-88000000000−8i8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-88000000008-88-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8800000000-88-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-8000000008-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-800000000-888-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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