Finite Group Databasebeta

← Group #72316719

Character table — Group #72316719

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222444444444444444444442222444444444444442222444444444444222244444444444444444444888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ12111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ13111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ14111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ15111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ16111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ18111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ19111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ20111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ21111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ22111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ23111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i
χ24111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i11-1-111-1-1−i−iii−i−iii
χ25111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1111111-1-1-1-111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ26111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1111111-1-1-1-111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ27111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1111111-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ28111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1111111-1-1-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ29111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ30111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ31111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ32111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ3322222222222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-22-2-22-22-2-222-2222000000000000000000000000000000002-22-22-22-2000000000000000000000000
χ3422222222222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-22-2-22-22-2-222-222200000000000000000000000000000000-22-22-22-22000000000000000000000000
χ35222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22-2-222-2-22-2-22000000000000000000000000000000002-22-2-22-22000000000000000000000000
χ36222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22-2-222-2-22-2-2200000000000000000000000000000000-22-222-22-2000000000000000000000000
χ372222222222-2-222222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2222222-2-2-222-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000000000000000
χ382222222222-2-222222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2222222-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ392222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-222-22222-222-222-2-222-2-2-2-20000000000000000000000002-22-22-22-200000000000000000000000000000000
χ402222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-222-22222-222-222-2-222-2-2-2-2000000000000000000000000-22-22-22-2200000000000000000000000000000000
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χ422222222222-2-2-2-222-2-2-2-2-2-2-2222222-2-2-2-2-2-222-22-222-2-2222-2000000000000000000000000-22-222-22-200000000000000000000000000000000
χ432222222222-2-2-2-2-2-222222222222-2-222222-2-2-2-2-2-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ442222222222-2-2-2-2-2-222222222222-2-222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ45222222-2-2-2-2222222-2-2-22222222222-2-2-2222-2-2-222-2-2-2-22-2-2-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ46222222-2-2-2-2222222-2-2-22222222222-2-2-2222-2-2-222-2-2-2-22-2-2-200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ47222222-2-2-2-222-2-2-2-2-2-2-22222-2-2-2-222-222-2-22-2-2-22-22222-222-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ48222222-2-2-2-222-2-2-2-2-2-2-22222-2-2-2-222-222-2-22-2-2-22-22222-222-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ49222222-2-2-2-2-2-22222-2-2-22222-2-2-2-2-2-2-222-2-2-2222-22-2-2-2-222220000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ50222222-2-2-2-2-2-22222-2-2-22222-2-2-2-2-2-2-222-2-2-2222-22-2-2-2-22222000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ51222222-2-2-2-2-2-222-2-2222-2-2-2-2-2-2-2-2222-2-222-2-2-222222-2-2-22222222-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ52222222-2-2-2-2-2-222-2-2222-2-2-2-2-2-2-2-2222-2-222-2-2-222222-2-2-2222-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000000000000
χ53222222-2-2-2-2-2-2-2-222222-2-2-2-2222222222-2-2-2-2-222-2-2-2222-2-2222-2-2-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ54222222-2-2-2-2-2-2-2-222222-2-2-2-2222222222-2-2-2-2-222-2-2-2222-2-22-2-22222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ55222222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-222-2222-2-22222-2-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ56222222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-222-2222-2-22222-2-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ572222-2-222-2-222222222-222-2-222-2-2-2-2-22-22-2-22-222-22-22-2-22-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ582222-2-222-2-222222222-222-2-222-2-2-2-2-22-22-2-22-222-22-22-2-22-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ592222-2-222-2-22222-2-2-2-22-2-22222-2-2222-22-22-2-222-2-2-222-222-2-200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ602222-2-222-2-22222-2-2-2-22-2-22222-2-2222-22-22-2-222-2-2-222-222-2-20000000000000000-22-22-22-220000000000000000000000000000000000000000
χ612222-2-222-2-222-2-222-2-22-2-222-2-2222222-22-2-2-222-222-2-22-2-22-200000000000000002-22-2-22-220000000000000000000000000000000000000000
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χ642222-2-222-2-222-2-2-2-222-222-2-2-2-222-2-2-2-22-22-22-2222-22-222-22-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ652222-2-222-2-2-2-2222222-222-2-2-2-22222-2-22-222-22-2-2-22-22-2-2-22200000000000000000000000000000000000000002-22-22-22-20000000000000000
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χ772222-2-2-2-22222-2-22222-2-2-222-2-22222-2-222-2-22-2-2-22-222-2-22-22000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ782222-2-2-2-22222-2-22222-2-2-222-2-22222-2-222-2-22-2-2-22-222-2-22-2200000000000000000000000000000000000000000000000000000000-222-22-2-22
χ792222-2-2-2-22222-2-2-2-2-2-2222-2-2-2-222-2-222-2-22-2-22-2222-22-222-2200000000000000002-2-22-222-20000000000000000000000000000000000000000
χ802222-2-2-2-22222-2-2-2-2-2-2222-2-2-2-222-2-222-2-22-2-22-2222-22-222-220000000000000000-222-22-2-220000000000000000000000000000000000000000
χ812222-2-2-2-222-2-22222-2-2222-2-2-2-2222222-2-2222-22-2-2-22-22-22-2-20000000000000000000000000000000000000000000000002-2-222-2-2200000000
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χ832222-2-2-2-222-2-222-2-222-2-2-222-2-222-2-2-2-222-22-2222-22-2-2222-2-200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ842222-2-2-2-222-2-222-2-222-2-2-222-2-222-2-2-2-222-22-2222-22-2-2222-2-20000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ852222-2-2-2-222-2-2-2-22222-2-2-22222-2-2-2-2-22-2-222-22222-222-2-2-22-200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ862222-2-2-2-222-2-2-2-22222-2-2-22222-2-2-2-2-22-2-222-22222-222-2-2-22-20000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
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χ974-4-44-444-4-440000004-4-44-4-440000004000000000000000000004-400000000004-4000000000000000000000000000000000000000000000000
χ984-4-44-444-4-440000004-4-44-4-44000000400000000000000000000-440000000000-44000000000000000000000000000000000000000000000000
χ994-4-44-444-4-44000000-444-444-4000000-400000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000
χ1004-4-44-444-4-44000000-444-444-4000000-40000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-444-40000004-4-4-444-40000004000000000000000000004-40000000000-44000000000000000000000000000000000000000000000000
χ1024-4-44-44-444-40000004-4-4-444-4000000400000000000000000000-4400000000004-4000000000000000000000000000000000000000000000000
χ1034-4-44-44-444-4000000-4444-4-44000000-400000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ1044-4-44-44-444-4000000-4444-4-44000000-40000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ10588-8-800000000008i−8i0000000008i−8i8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800000000008i−8i000000000−8i8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-80000000000−8i8i0000000008i−8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-80000000000−8i8i000000000−8i8i8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-80000008-88i−8i0000000008i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-80000008-8−8i8i000000000−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8000000-888i−8i000000000−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8000000-88−8i8i0000000008i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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