Finite Group Databasebeta

← Group #72310657

Character table — Group #72310657

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222444444444444444444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order1222222222222244444444222222222244444444444422444444444444444444444444448888224444444444444444444488888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-11-11-1-11-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111-1-1111111111111-1-1111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-11-111-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-11-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-11111111111111111111-1-111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-11-111-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-111-11-111-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111-11111-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ1711111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11-1111-1-111-1-111-1-1-1-111-1-1-1-1111-11-1
χ1811111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-111-1-111-1-1-1-11111-1-11111-1-1-11-11
χ1911111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11-11
χ2011111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-111-1-1-1-11111111-11-1
χ2111111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-11-1-1-111-1-1-1111-1-1-1-11111-1-111-1-11111-1-11-1-11
χ2211111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-11-111-11-111-1-1-1-111-1-111-1-111-1-1-1-111-111-1
χ2311111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-111-1
χ2411111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-11
χ2511111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-11-11-1-11-11-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ2611111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1111-1-1-111-1-11111-1-11111-1-111-1-11-11-1
χ2711111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-11-11-1
χ2811111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-11111-1-111-1-111-1-1-1-111-1-11111-11-11
χ2911111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-11-1-11111-1-1-1-1111111-1-111-1-1-111-1
χ3011111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-11-111-11-1-1-11111-1-111-1-1-1-1-1-111-1-1111-1-11
χ3111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111111-1-11
χ3211111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-11111-1-1111-1-111111-1-1-1-11111-1-111-1-111-1-1-1-1-111-1
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χ3622222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000-22-22002222-22000000000000-2200000000000000002-22-20000000000000000000000
χ37222222222-2-22-2-22-2-22-2-222-2-20000000022-2-22222-2-2-2-200002200000022-2-20000000000-2-222-2-200020000-200000000000000000002-2000000
χ38222222222-2-22-2-22-2-22-2-222-2-20000000022-2-22222-2-2-2-20000-2-200000022-2-2000000000022-2-222000-2000020000000000000000000-22000000
χ39222222222-2-22-2-22-2-22-2-222-2-20000000022-2-2-2-2-2-22222000022000000-2-2220000000000-2-2-2-22200020000-20000000000000000000-22000000
χ40222222222-2-22-2-22-2-22-2-222-2-20000000022-2-2-2-2-2-222220000-2-2000000-2-22200000000002222-2-2000-20000200000000000000000002-2000000
χ4122222-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000002-2-2200-2-2222-2000000000000-2200000000000000002-2-220000000000000000000000
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χ4322222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000002-2-220022-2-22-2000000000000-220000000000000000-222-20000000000000000000000
χ4422222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-222-20022-2-2-220000000000002-200000000000000002-2-220000000000000000000000
χ4522222-2-2-2-2-2-22-2-22-2-22-2-2222200000000-2-2222222-2-2-2-2000022000000-2-2220000000000-2-222-2-2000-2000020000000000000000000-22000000
χ4622222-2-2-2-2-2-22-2-22-2-22-2-2222200000000-2-2222222-2-2-2-20000-2-2000000-2-222000000000022-2-22200020000-200000000000000000002-2000000
χ4722222-2-2-2-2-2-22-2-22-2-22-2-2222200000000-2-222-2-2-2-2222200002200000022-2-20000000000-2-2-2-222000-20000200000000000000000002-2000000
χ4822222-2-2-2-2-2-22-2-22-2-22-2-2222200000000-2-222-2-2-2-222220000-2-200000022-2-200000000002222-2-200020000-20000000000000000000-22000000
χ492222-222-2-222-2-2-2-2-2-2222-222-2000000002-22-222-2-222-2-20000000000002-22-20000000000000000020020-200-20000000000002-20000002-20000
χ502222-222-2-222-2-2-2-2-2-2222-222-2000000002-22-222-2-222-2-20000000000002-22-200000000000000000-200-202002000000000000-22000000-220000
χ512222-222-2-222-2-2-2-2-2-2222-222-2000000002-22-2-2-222-2-222000000000000-22-220000000000000000020020-200-2000000000000-22000000-220000
χ522222-222-2-222-2-2-2-2-2-2222-222-2000000002-22-2-2-222-2-222000000000000-22-2200000000000000000-200-2020020000000000002-20000002-20000
χ532222-222-2-2-2-2-2222-2-2-2222-2-2200000000-222-2000000002222000000-2-2000022-2-222-2-2-2-2000000000000000000002-22-2000000000000000000
χ542222-222-2-2-2-2-2222-2-2-2222-2-2200000000-222-2000000002222000000-2-20000-2-222-2-222-2-200000000000000000000-22-22000000000000000000
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χ562222-222-2-2-2-2-2222-2-2-2222-2-2200000000-222-200000000-2-2-2-2000000220000-2-222-2-22222000000000000000000002-22-2000000000000000000
χ572222-222-2-2-2-2-222-2222-2-2-22-22000000002-2-2222-2-2-2-2222-22-2000000-222-2-2200000000-2200000020200-20-20000000000000000000000000000
χ582222-222-2-2-2-2-222-2222-2-2-22-22000000002-2-2222-2-2-2-222-22-220000002-22-2-22000000002-2000000-20-2002020000000000000000000000000000
χ592222-222-2-2-2-2-222-2222-2-2-22-22000000002-2-22-2-22222-2-22-22-2000000-22-222-200000000-22000000-20-2002020000000000000000000000000000
χ602222-222-2-2-2-2-222-2222-2-2-22-22000000002-2-22-2-22222-2-2-22-220000002-2-222-2000000002-200000020200-20-20000000000000000000000000000
χ612222-2-2-22222-2-2-2-2-2-2222-22-2200000000-22-2222-2-222-2-2000000000000-22-2200000000000000000200-20-20020000000000002-2000000-220000
χ622222-2-2-22222-2-2-2-2-2-2222-22-2200000000-22-2222-2-222-2-2000000000000-22-2200000000000000000-20020200-2000000000000-220000002-20000
χ632222-2-2-22222-2-2-2-2-2-2222-22-2200000000-22-22-2-222-2-2220000000000002-22-200000000000000000200-20-2002000000000000-220000002-20000
χ642222-2-2-22222-2-2-2-2-2-2222-22-2200000000-22-22-2-222-2-2220000000000002-22-200000000000000000-20020200-20000000000002-2000000-220000
χ652222-2-2-222-2-2-2222-2-2-2222-22-2000000002-2-220000000022-2-2000000-2-2000022-2-2-2-22222000000000000000000002-2-22000000000000000000
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χ672222-2-2-222-2-2-2222-2-2-2222-22-2000000002-2-2200000000-2-22200000022000022-2-2-2-222-2-200000000000000000000-222-2000000000000000000
χ682222-2-2-222-2-2-2222-2-2-2222-22-2000000002-2-2200000000-2-222000000220000-2-22222-2-2-2-2000000000000000000002-2-22000000000000000000
χ692222-2-2-222-2-2-222-2222-2-2-222-200000000-222-222-2-2-2-2222-2-22000000-22-222-2000000002-2000000-2020020-20000000000000000000000000000
χ702222-2-2-222-2-2-222-2222-2-2-222-200000000-222-222-2-2-2-222-222-20000002-2-222-200000000-2200000020-200-2020000000000000000000000000000
χ712222-2-2-222-2-2-222-2222-2-2-222-200000000-222-2-2-22222-2-22-2-22000000-222-2-22000000002-200000020-200-2020000000000000000000000000000
χ722222-2-2-222-2-2-222-2222-2-2-222-200000000-222-2-2-22222-2-2-222-20000002-22-2-2200000000-22000000-2020020-20000000000000000000000000000
χ732-22-2200002-2-22-2-22-2-22-22200000022-2-200002i−2i2i−2i2i−2i2i−2i00002i−2i002-200000000002i−2i2i−2i002i−2i2-22-2000000000000000000002i−2i00002-200000000
χ742-22-2200002-2-22-2-22-2-22-22200000022-2-200002i−2i2i−2i2i−2i2i−2i0000−2i2i002-200000000002i−2i2i−2i00−2i2i-22-2200000000000000000000−2i2i0000-2200000000
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χ782-22-2200002-2-22-2-22-2-22-222000000-2-22200002i−2i2i−2i2i−2i2i−2i0000−2i2i00-220000000000−2i2i−2i2i00−2i2i-22-22000000000000000000002i−2i00002-200000000
χ792-22-2200002-2-22-2-22-2-22-222000000-2-2220000−2i2i−2i2i−2i2i−2i2i00002i−2i00-2200000000002i−2i2i−2i002i−2i-22-2200000000000000000000−2i2i00002-200000000
χ802-22-2200002-2-22-2-22-2-22-222000000-2-2220000−2i2i−2i2i−2i2i−2i2i0000−2i2i00-2200000000002i−2i2i−2i00−2i2i2-22-2000000000000000000002i−2i0000-2200000000
χ812-22-220000-22-2-22-2-22-2-22220022-2-2000000002i−2i2i−2i−2i2i−2i2i00002i−2i2-2000000002i−2i2i−2i000000−2i2i2-2-220000000000000000002i−2i00002-20000000000
χ822-22-220000-22-2-22-2-22-2-22220022-2-2000000002i−2i2i−2i−2i2i−2i2i0000−2i2i2-2000000002i−2i2i−2i0000002i−2i-222-2000000000000000000−2i2i0000-220000000000
χ832-22-220000-22-2-22-2-22-2-22220022-2-200000000−2i2i−2i2i2i−2i2i−2i00002i−2i2-200000000−2i2i−2i2i000000−2i2i-222-20000000000000000002i−2i0000-220000000000
χ842-22-220000-22-2-22-2-22-2-22220022-2-200000000−2i2i−2i2i2i−2i2i−2i0000−2i2i2-200000000−2i2i−2i2i0000002i−2i2-2-22000000000000000000−2i2i00002-20000000000
χ852-22-220000-22-2-22-2-22-2-222200-2-222000000002i−2i2i−2i−2i2i−2i2i00002i−2i-2200000000−2i2i−2i2i000000−2i2i2-2-22000000000000000000−2i2i0000-220000000000
χ862-22-220000-22-2-22-2-22-2-222200-2-222000000002i−2i2i−2i−2i2i−2i2i0000−2i2i-2200000000−2i2i−2i2i0000002i−2i-222-20000000000000000002i−2i00002-20000000000
χ872-22-220000-22-2-22-2-22-2-222200-2-22200000000−2i2i−2i2i2i−2i2i−2i00002i−2i-22000000002i−2i2i−2i000000−2i2i-222-2000000000000000000−2i2i00002-20000000000
χ882-22-220000-22-2-22-2-22-2-222200-2-22200000000−2i2i−2i2i2i−2i2i−2i0000−2i2i-22000000002i−2i2i−2i0000002i−2i2-2-220000000000000000002i−2i0000-220000000000
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χ934-44-4400004-4-44-44-444-44-4-400000044-4-400000000000000000000-440000000000000000000000000000000000000000000000000000000000
χ944-44-4400004-4-44-44-444-44-4-4000000-4-444000000000000000000004-40000000000000000000000000000000000000000000000000000000000
χ954-44-440000-44-4-4444-444-4-4-40044-4-40000000000000000000000-44000000000000000000000000000000000000000000000000000000000000
χ964-44-440000-44-4-4444-444-4-4-400-4-44400000000000000000000004-4000000000000000000000000000000000000000000000000000000000000
χ974-44-4-400004-44-444-44-44-4-44000000000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-400004-44-444-44-44-4-4400000000000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-400004-44-44-44-44-444-4000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ1004-44-4-400004-44-44-44-44-444-400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ1014-44-4-40000-4444-444-4-4-44-44000000000000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-4-40000-4444-444-4-4-44-4400000000000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1034-44-4-40000-4444-4-4-4444-44-40000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ1044-44-4-40000-4444-4-4-4444-44-4000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ10588-8-808-8000000000000000004-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-808-800000000000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-80-88000000000000000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-80-8800000000000000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-880008-80000000000000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-880008-8000000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88000-880000000000000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88000-88000000000000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000

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