Finite Group Databasebeta

← Group #72312263

Character table — Group #72312263

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222222224444444444444444444444888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222444422222222444444444444442222222244444444444444444444444444444444444444444422224444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ91111111111-1-1-1-111111111111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-111111111111-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ121111111111-1-1-1-111111111111-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111
χ131111111111-1-1-1-111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111
χ141111111111-1-1-1-111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ161111111111-1-1-1-111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ171111-1-1-1-111111111-1-1-1-1111-1-1-1-111111111111-1-111111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11-11-11-11-11-11-11-11-11-11-1
χ181111-1-1-1-111111111-1-1-1-1111-1-1-1-111111111111-1-111111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-11-11-11-11
χ191111-1-1-1-111111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-11-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-11-11-1-11-11-11-111-11-1
χ201111-1-1-1-111111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-11-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-111-11-11-11-1-11-11
χ211111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-11111-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-111-1-1111-11-11-11-11-11-1-11-11-11-11
χ221111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-11111-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-111-1-111-11-11-11-11-11-111-11-11-11-1
χ231111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-111-1-11-11-11-11-1-11-111-11-1-11-11
χ241111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-111-1-1-11-11-11-111-11-1-11-111-11-1
χ251111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1111-1-11111-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-111-1-11
χ261111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1111-1-11111-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-111-1-111-1
χ271111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-11-1-111-1-11-111-1-111-11-1-11
χ281111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-111-1-111-11-1-111-1-11-111-1
χ291111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-11-1-111-1-111-1-11-111-1-111-1
χ301111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-111-1-111-1-111-11-1-111-1-11
χ311111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111-1-111-1-111-11-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11-111-11-1-11-111-1
χ321111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111-1-111-1-111-11-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-111-1-111-11-1-11-111-11-1-11
χ33222222222222222-222-2-22-2-2-2-22200000000-200000022-2-200222-22-2000000002222000000000000-2-2-2-2-2-2-2-200000000000000000000
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χ3522222222222222-22-2-222-22-2-2-22200000000-200002200-2-22200-22-220000222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ3622222222222222-22-2-222-22-2-2-22200000000-20000-2-200-2-2-2-200-22-220000-2-2-2-200000000222222220000000000000000000000000000
χ3722222222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-20000220000-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000
χ3822222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222220000220000-2-2-2-2222200000000-2-2-2-2000000000000000000000000000000000000
χ392222222222-2-2-2-22-222-2-22-2-2-2-2-2-200000000-2000000222200-2-2-22-220000000022-2-2000000000000-2-2-2-2222200000000000000000000
χ402222222222-2-2-2-22-222-2-22-2-2-2-2-2-200000000-2000000-2-2220022-22-2200000000-2-2220000000000002222-2-2-2-200000000000000000000
χ412222222222-2-2-2-2-22-2-222-22-2-2-2-2-200000000-20000220022-2-2002-22-2000022-2-200000000-2-2-2-222220000000000000000000000000000
χ422222222222-2-2-2-2-22-2-222-22-2-2-2-2-200000000-20000-2-2002222002-22-20000-2-222000000002222-2-2-2-20000000000000000000000000000
χ432222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222-2-2-2-22-2-2-2-20000-2-20000222222220000000022-2-2000000000000000000000000000000000000
χ442222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-22222222220000-2-200002222-2-2-2-200000000-2-222000000000000000000000000000000000000
χ452222-2-2-2-22222222-2-2-2222-2-222-2-200000000-200000022-2200-2-22-2-2200000000-2-222000000000000-2-222-2-22200000000000000000000
χ462222-2-2-2-22222222-2-2-2222-2-222-2-200000000-2000000-2-2-2200222-2-220000000022-2-200000000000022-2-222-2-200000000000000000000
χ472222-2-2-2-2222222-2222-2-2-22-222-2-200000000-200002200-22-2-200-222-20000-2-22200000000-2-222-2-2220000000000000000000000000000
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χ492222-2-2-2-2222222-2-22222-2-22-2-2-2-2222222222-2-22200002-20000-2-222-2-22200000000-2-2-2-2000000000000000000000000000000000000
χ502222-2-2-2-2222222-2-22222-2-22-2-2-2-2-2-2-2-2-2-2-2-2222-2-200002-20000-2-22222-2-2000000002222000000000000000000000000000000000000
χ512222-2-2-2-222-2-2-2-22-2-2-2222-2-2222200000000-2000000222-20022-222-200000000-2-2-2-2000000000000-2-22222-2-200000000000000000000
χ522222-2-2-2-222-2-2-2-22-2-2-2222-2-2222200000000-2000000-2-22-200-2-2-222-200000000222200000000000022-2-2-2-22200000000000000000000
χ532222-2-2-2-222-2-2-2-2-2222-2-2-22-2222200000000-2000022002-222002-2-220000-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ542222-2-2-2-222-2-2-2-2-2222-2-2-22-2222200000000-20000-2-2002-2-2-2002-2-22000022220000000022-2-2-2-2220000000000000000000000000000
χ552222-2-2-2-222-2-2-2-2-2-22222-2-22-2-2222222-2-2-2-22-2-2220000-22000022-2-222-2-200000000-2-222000000000000000000000000000000000000
χ562222-2-2-2-222-2-2-2-2-2-22222-2-22-2-222-2-2-2-22222222-2-20000-22000022-2-2-2-2220000000022-2-2000000000000000000000000000000000000
χ572-22-222-2-22-20000222-22-2-2-2-22-20022-2-2000022-22-20000002i−2i2i−2i00000000002i−2i002i−2i2-20000002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ582-22-222-2-22-20000222-22-2-2-2-22-20022-2-2000022-22-2000000−2i2i−2i2i0000000000−2i2i00−2i2i2-2000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ592-22-222-2-22-20000222-22-2-2-2-22-200-2-22200002-22-220000002i−2i−2i2i00000000002i−2i00−2i2i-220000002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ602-22-222-2-22-20000222-22-2-2-2-22-200-2-22200002-22-22000000−2i2i2i−2i0000000000−2i2i002i−2i-22000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ612-22-222-2-22-200002-22-2-22-222-220000002i2i−2i−2i-200002-20000002i−2i00002i−2i2i−2i2-200002i−2i002i−2i2-22-200000000−2i2i−2i2i00000000000000000000
χ622-22-222-2-22-200002-22-2-22-222-220000002i2i−2i−2i-20000-22000000−2i2i00002i−2i2i−2i-220000−2i2i002i−2i-22-22000000002i−2i2i−2i00000000000000000000
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χ652-22-222-2-22-20000-22-222-22-22-220000002i2i−2i−2i-20000002-2002i−2i000000−2i2i−2i2i002i−2i2-200002i−2i0000−2i2i−2i2i2-22-2000000000000000000000000
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χ672-22-222-2-22-20000-22-222-22-22-22000000−2i−2i2i2i-20000002-200−2i2i0000002i−2i2i−2i00−2i2i2-20000−2i2i00002i−2i2i−2i2-22-2000000000000000000000000
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χ782-22-2-2-2222-200002-2-222-2-2222-20000002i2i−2i−2i-20000-220000002i−2i00002i−2i−2i2i2-20000−2i2i00−2i2i-222-2000000002i−2i−2i2i00000000000000000000
χ792-22-2-2-2222-200002-2-222-2-2222-2000000−2i−2i2i2i-200002-20000002i−2i0000−2i2i2i−2i-220000−2i2i002i−2i2-2-22000000002i−2i−2i2i00000000000000000000
χ802-22-2-2-2222-200002-2-222-2-2222-2000000−2i−2i2i2i-20000-22000000−2i2i0000−2i2i2i−2i2-200002i−2i002i−2i-222-200000000−2i2i2i−2i00000000000000000000
χ812-22-2-2-2222-20000-222-2-222-222-20000002i2i−2i−2i-20000002-200−2i2i000000−2i2i2i−2i002i−2i-220000−2i2i0000−2i2i2i−2i2-2-22000000000000000000000000
χ822-22-2-2-2222-20000-222-2-222-222-20000002i2i−2i−2i-2000000-22002i−2i000000−2i2i2i−2i00−2i2i2-20000−2i2i00002i−2i−2i2i-222-2000000000000000000000000
χ832-22-2-2-2222-20000-222-2-222-222-2000000−2i−2i2i2i-20000002-2002i−2i0000002i−2i−2i2i00−2i2i-2200002i−2i00002i−2i−2i2i2-2-22000000000000000000000000
χ842-22-2-2-2222-20000-222-2-222-222-2000000−2i−2i2i2i-2000000-2200−2i2i0000002i−2i−2i2i002i−2i2-200002i−2i0000−2i2i2i−2i-222-2000000000000000000000000
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χ944444-44-44-4-444-4-400000000000-4400000000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ954444-44-44-4-4-4-444000000000004-4000000000000000000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ964444-44-44-4-4-4-444000000000004-400000000000000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ9788-8-8000000008i−8i00000000000004-44-44i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000008i−8i0000000000000-44-44−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800000000−8i8i00000000000004-44-4−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800000000−8i8i0000000000000-44-444i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-880000008-80000000000000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-880000008-8000000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88000000-880000000000000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88000000-88000000000000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000

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