Finite Group Databasebeta

← Group #72339572

Character table — Group #72339572

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109
size1111222222222222444444444444444448888888888888888888888888888888888888888888888888888161616161616161616161616161616163232323232323232
order1222222222224444222224444444444442222222222222224444444444444444444444444444444444444222288888888888844444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ5111111111111111111111-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ7111111111111111111111-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-1
χ8111111111111111111111-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ91111111111111111111-1-111111-1-111111-1-1-111-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ101111111111111111111-1-111111-1-111111-1-1-111-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111-1-111111-1-111111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ121111111111111111111-1-111111-1-111111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111
χ131111111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ141111111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ151111111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ161111111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1711111-1-1111111-1-11-1-1-11111-1-1-1-1-1111111111-1-1-111-1-11-11-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111-111-1-11-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111-1-1111111-1-11-1-1-11111-1-1-1-1-1111111111-1-1-111-1-11-11-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111-111-1-11-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111-1-1111111-1-11-1-1-11111-1-1-1-1-1111111111-1-1-1-1-111-11-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-11-1-111-1111-1-111-1-1-1-111-1-111-11-111-11-1
χ2011111-1-1111111-1-11-1-1-11111-1-1-1-1-1111111111-1-1-1-1-111-11-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-11-1-111-11-1-111-1-11111-1-111-1-11-11-1-11-11
χ2111111-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1111111-111111-1-11-1-11-111-1-11111-1-111-1-1-1-111-1-111-1-1-11-1-11-1-1-111-1111-1-111-1-111-1-1-1-1111-1-11-11-11
χ2211111-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1111111-111111-1-11-1-11-111-1-11111-1-111-1-1-1-111-1-111-1-1-11-1-11-1-1-111-11-1-111-1-111-1-11111-1-1-111-11-11-1
χ2311111-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1111111-1111-1-111-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-11-1-1-1111-1-11-111-1-111-1-1-1-11111-1-1-111-1-11-11
χ2411111-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1111111-1111-1-111-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-11-1-1-1111-1-11-1-1-111-1-11111-1-1-1-1111-1-111-11-1
χ2511111-1-1111111-1-11-1-1-1-1-111-1-1-11111111-1-1-11-11111-1-1-11-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-1-1111-1-1-1-11111-1-111-1-1-11-111-1-11
χ2611111-1-1111111-1-11-1-1-1-1-111-1-1-11111111-1-1-11-11111-1-1-11-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-1-11-1-11111-1-1-1-111-1-1111-11-1-111-1
χ2711111-1-1111111-1-11-1-1-1-1-111-1-1-11111111-1-1-11-111-1-1111-11-11-1-1-1-111-1-11111-1-1-1-11111-1-1111-1-1-11-1-1-1111-111-1-1-1-111-1-111-1-1111-11-11-1-11
χ2811111-1-1111111-1-11-1-1-1-1-111-1-1-11111111-1-1-11-111-1-1111-11-11-1-1-1-111-1-11111-1-1-1-11111-1-1111-1-1-11-1-1-1111-1-1-11111-1-111-1-111-1-1-11-11-111-1
χ2911111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1111111-11-1-1111-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ3011111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1111111-11-1-1111-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ3111111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1-1-1111-1-11-11111-1-1-1-11111-1-111-1-1-1-1111111111-111-1-1-1111-1-1-1-111-1-11111-1-11-1-11-111-1
χ3211111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1-1-1111-1-11-11111-1-1-1-11111-1-111-1-1-1-1111111111-111-1-1-11-1-11111-1-111-1-1-1-111-111-11-1-11
χ33222222222222-2-2-2-22220022-2-2-20022-2-2-2000-2-20000002-2-22-22-2000000002-22-200002-22-2000200-2200002-2000000000000000000000000
χ34222222222222-2-2-2-22220022-2-2-20022-2-2-2000-2-2000000-222-2-22-200000000-22-220000-22-220002002-20000-22000000000000000000000000
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χ36222222222222-2-2-2-222200-2-2-2-2-200-2-2-2-2-200022000000-22-222-2200000000-22-2200002-22-2000-2002-200002-2000000000000000000000000
χ372222222-2-2-2-2222222-2-222222-2-222-2-22-2-22-2-2-2-2-2-200000000222222200000000000000002-2-2-2-2-200000000000000000000000000000000
χ382222222-2-2-2-2222222-2-222-2-22-2-222222-2-22-2-2222200000000-2-2-2-2-2-2-200000000000000002-2-222200000000000000000000000000000000
χ392222222-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-22-2-2-222-2-22200000000222-2-2-2-20000000000000000-222-22200000000000000000000000000000000
χ402222222-2-2-2-2222222-2-2-2-2-2-22-2-2-2-2222-2-2-22222-2-200000000-2-2-222220000000000000000-2222-2-200000000000000000000000000000000
χ412222222-2-2-2-22-2-2-2-22-2-20022-22200-2-2-22200022002-22-20000-22-200002-22-200002-22-20000000-200002-22-200000000000000000000000000
χ422222222-2-2-2-22-2-2-2-22-2-20022-22200-2-2-2220002200-22-220000-22-20000-22-220000-22-220000000-20000-22-2200000000000000000000000000
χ432222222-2-2-2-22-2-2-2-22-2-200-2-2-2220022-222000-2-2002-22-200002-2200002-22-20000-22-22000000020000-22-2200000000000000000000000000
χ442222222-2-2-2-22-2-2-2-22-2-200-2-2-2220022-222000-2-200-22-2200002-220000-22-2200002-22-20000000200002-22-200000000000000000000000000
χ4522222-2-222222-222-2-2-2-200222220022-2-2-2000-2200000022-2-2-2-22000000002-2-2200002-2-22000-200-2-2000022000000000000000000000000
χ4622222-2-222222-222-2-2-2-200222220022-2-2-2000-22000000-2-222-2-2200000000-222-20000-222-2000-200220000-2-2000000000000000000000000
χ4722222-2-222222-222-2-2-2-200-2-222200-2-2-2-2-20002-2000000222222-2000000002-2-220000-222-2000200-2-20000-2-2000000000000000000000000
χ4822222-2-222222-222-2-2-2-200-2-222200-2-2-2-2-20002-2000000-2-2-2-222-200000000-222-200002-2-2200020022000022000000000000000000000000
χ4922222-2-2-2-2-2-222-2-22-2222222-222-2-2-2-22-2-22-2-2-2222000000002-2-222-2-20000000000000000-2222-2-200000000000000000000000000000000
χ5022222-2-2-2-2-2-222-2-22-22222-2-2-222-2-2222-2-22-2-22-2-2-200000000-222-2-2220000000000000000-222-22200000000000000000000000000000000
χ5122222-2-2-2-2-2-222-2-22-222-2-222-22222-2-22-2-2-222-22-2-2000000002-2-2-2-22200000000000000002-2-222200000000000000000000000000000000
χ5222222-2-2-2-2-2-222-2-22-222-2-2-2-2-22222222-2-2-2222-22200000000-22222-2-200000000000000002-2-2-2-2-200000000000000000000000000000000
χ5322222-2-2-2-2-2-22-222-2-22200222-2-200-2-2-2220002-2002-2-220000-2-2200002-2-2200002-2-220000000200002-2-2200000000000000000000000000
χ5422222-2-2-2-2-2-22-222-2-22200222-2-200-2-2-2220002-200-222-20000-2-220000-222-20000-222-2000000020000-222-200000000000000000000000000
χ5522222-2-2-2-2-2-22-222-2-22200-2-22-2-20022-222000-22002-2-22000022-200002-2-220000-222-20000000-20000-222-200000000000000000000000000
χ5622222-2-2-2-2-2-22-222-2-22200-2-22-2-20022-222000-2200-222-2000022-20000-222-200002-2-220000000-200002-2-2200000000000000000000000000
χ572222-22222-2-2-22222-22-22200-22-22200-22-2-22-2000000000022000000000000000-2-2-2-2-2-2-2-2-22-200000222222000000000000000000000000
χ582222-22222-2-2-22222-22-22200-22-22200-22-2-22-20000000000-2-200000000000000022222222-22-200000-2-2-2-2-2-2000000000000000000000000
χ592222-22222-2-2-22222-22-2-2-200-22-2-2-200-22-22-220000000000220000000000000002222-2-2-2-22-2200000-2-2-2-222000000000000000000000000
χ602222-22222-2-2-22222-22-2-2-200-22-2-2-200-22-22-220000000000-2-2000000000000000-2-2-2-222222-22000002222-2-2000000000000000000000000
χ612222-22222-2-2-2-2-2-2-2-22-200002-2200002-22000002-22-22-2002-20002-22-2-22-22000000002-22-200002-2000000-22000000000000000000000000
χ622222-22222-2-2-2-2-2-2-2-22-200002-2200002-22000002-2-22-2200-220002-22-22-22-200000000-22-2200002-20000002-2000000000000000000000000
χ632222-22222-2-2-2-2-2-2-2-22-200002-2200002-2200000-222-22-200-22000-22-22-22-2200000000-22-220000-220000002-2000000000000000000000000
χ642222-22222-2-2-2-2-2-2-2-22-200002-2200002-2200000-22-22-22002-2000-22-222-22-2000000002-22-20000-22000000-22000000000000000000000000
χ652222-222-2-222-22222-2-222200-2-222200-2-22-2-220000222222000000000-2-2-2-2-2-2-2-200000000-2-2200022000000000000000000000000000000
χ662222-222-2-222-22222-2-222200-2-222200-2-22-2-220000-2-2-2-2-2-20000000002222222200000000-2-22000-2-2000000000000000000000000000000
χ672222-222-2-222-22222-2-22-2-200-2-22-2-200-2-2222-200002222-2-2000000000-2-2-2-222220000000022-2000-2-2000000000000000000000000000000
χ682222-222-2-222-22222-2-22-2-200-2-22-2-200-2-2222-20000-2-2-2-2220000000002222-2-2-2-20000000022-200022000000000000000000000000000000
χ692222-222-2-222-2-2-2-2-2-2-22000022-2000022-2000002-200002-200000-22-220000-22-22-22-22000000002-2-222-22-200000000000000000000000000
χ702222-222-2-222-2-2-2-2-2-2-22000022-2000022-2000002-20000-2200000-22-2200002-22-22-22-2000000002-22-2-22-2200000000000000000000000000
χ712222-222-2-222-2-2-2-2-2-2-22000022-2000022-200000-2200002-2000002-22-20000-22-222-22-200000000-22-22-22-2200000000000000000000000000
χ722222-222-2-222-2-2-2-2-2-2-22000022-2000022-200000-220000-22000002-22-200002-22-2-22-2200000000-222-22-22-200000000000000000000000000
χ732222-2-2-222-2-2-22-2-222-2222002-22-2-200-22-2-22-200000000002-2000000000000000-2-222-2-2222-220000022-2-22-2000000000000000000000000
χ742222-2-2-222-2-2-22-2-222-2222002-22-2-200-22-2-22-20000000000-2200000000000000022-2-222-2-22-2200000-2-222-22000000000000000000000000
χ752222-2-2-222-2-2-22-2-222-22-2-2002-222200-22-22-2200000000002-200000000000000022-2-2-2-222-22-200000-2-2222-2000000000000000000000000
χ762222-2-2-222-2-2-22-2-222-22-2-2002-222200-22-22-220000000000-22000000000000000-2-22222-2-2-22-20000022-2-2-22000000000000000000000000
χ772222-2-2-222-2-2-2-222-22-220000-22-200002-22000002-22-2-2200-2-2000-222-2-222-200000000-222-20000-2200000022000000000000000000000000
χ782222-2-2-222-2-2-2-222-22-220000-22-200002-22000002-2-222-20022000-222-22-2-22000000002-2-220000-22000000-2-2000000000000000000000000
χ792222-2-2-222-2-2-2-222-22-220000-22-200002-2200000-222-2-2200220002-2-22-222-2000000002-2-2200002-2000000-2-2000000000000000000000000
χ802222-2-2-222-2-2-2-222-22-220000-22-200002-2200000-22-222-200-2-20002-2-222-2-2200000000-222-200002-200000022000000000000000000000000
χ812222-2-2-2-2-222-22-2-2222-2220022-2-2-200-2-22-2-22000022-2-22-2000000000-2-222-2-2220000000022-20002-2000000000000000000000000000000
χ822222-2-2-2-2-222-22-2-2222-2220022-2-2-200-2-22-2-220000-2-222-2200000000022-2-222-2-20000000022-2000-22000000000000000000000000000000
χ832222-2-2-2-2-222-22-2-2222-2-2-20022-22200-2-2222-2000022-2-2-22000000000-2-22222-2-200000000-2-22000-22000000000000000000000000000000
χ842222-2-2-2-2-222-22-2-2222-2-2-20022-22200-2-2222-20000-2-2222-200000000022-2-2-2-22200000000-2-220002-2000000000000000000000000000000
χ852222-2-2-2-2-222-2-222-222-20000-2-22000022-2000002-2000022000002-2-220000-222-22-2-2200000000-22-2-2-222-200000000000000000000000000
χ862222-2-2-2-2-222-2-222-222-20000-2-22000022-2000002-20000-2-2000002-2-2200002-2-22-222-200000000-22222-2-2200000000000000000000000000
χ872222-2-2-2-2-222-2-222-222-20000-2-22000022-200000-2200002200000-222-20000-222-2-222-2000000002-2-2-22-2-2200000000000000000000000000
χ882222-2-2-2-2-222-2-222-222-20000-2-22000022-200000-220000-2-200000-222-200002-2-222-2-22000000002-222-222-200000000000000000000000000
χ8944-4-44004-44-4-40000000004i−4i000004i−4i0000000000000000000000000000000000000000000000000000000000000000022−22002i2−2i200000000
χ9044-4-44004-44-4-40000000004i−4i000004i−4i00000000000000000000000000000000000000000000000000000000000000000−222200−2i22i200000000
χ9144-4-44004-44-4-4000000000−4i4i00000−4i4i0000000000000000000000000000000000000000000000000000000000000000022−2200−2i22i200000000
χ9244-4-44004-44-4-4000000000−4i4i00000−4i4i00000000000000000000000000000000000000000000000000000000000000000−2222002i2−2i200000000
χ9344-4-4400-44-44-40000000004i−4i00000−4i4i00000000000000000000000000000000000000000000000000000000000000022−22002i2−2i20000000000
χ9444-4-4400-44-44-40000000004i−4i00000−4i4i000000000000000000000000000000000000000000000000000000000000000−222200−2i22i20000000000
χ9544-4-4400-44-44-4000000000−4i4i000004i−4i00000000000000000000000000000000000000000000000000000000000000022−2200−2i22i20000000000
χ9644-4-4400-44-44-4000000000−4i4i000004i−4i000000000000000000000000000000000000000000000000000000000000000−2222002i2−2i20000000000
χ974-4-4404-400000-44-440004-4000004-40000000000000000000000000000000000000000000000000000000002-22-22-22-20000000000000000
χ984-4-4404-400000-44-440004-4000004-4000000000000000000000000000000000000000000000000000000000-22-22-22-220000000000000000
χ994-4-4404-400000-44-44000-4400000-440000000000000000000000000000000000000000000000000000000002-22-2-22-220000000000000000
χ1004-4-4404-400000-44-44000-4400000-44000000000000000000000000000000000000000000000000000000000-22-222-22-20000000000000000
χ1014-4-440-4400000-4-4440004-400000-440000000000000000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ1024-4-440-4400000-4-4440004-400000-44000000000000000000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ1034-4-440-4400000-4-444000-44000004-40000000000000000000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ1044-4-440-4400000-4-444000-44000004-4000000000000000000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ10588-8-8-8008-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-800-888-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8808-8000008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-880-880000088-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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