Finite Group Databasebeta

← Group #72238544

Character table — Group #72238544

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222224444444444444444444444444444448888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222224444444444444444222222222244444444444444442222222244444444444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
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χ342222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-222220000-2-2-2-200000000000000000000000000000000000000000000
χ35222222222222222222222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222220000222200000000000000000000000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222222222-2-2-2-2-2-20000222200000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2222222-2-2220000-2-22200000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-20000-2-22200000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222222222-2-2000022-2-200000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222222222222-2-2-2-2-2-222-2-222000022-2-200000000000000000000000000000000000000000000
χ412222222222-2-2-2-2-2-22222-2-2-2-200002222-2-2-2-20000222222-2-200000022-2-2-2-200000022-2-22-20000000000000000000000000000000000002-22-200002-22-200000000
χ422222222222-2-2-2-2-2-22222-2-2-2-200002222-2-2-2-20000222222-2-200000022-2-2-2-200000022-2-22-2000000000000000000000000000000000000-22-220000-22-2200000000
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χ442222222222-2-2-2-2-2-22222-2-2-2-200002222-2-2-2-200002222-2-222000000-2-222-2-2000000-2-222-2200000000000000000000000000000000-22-220000-22-22000000000000
χ452222222222-2-2-2-2-2-22222-2-2-2-20000-2-2-2-222220000-2-2-2-222-2-2000000-2-22222000000-2-2222-20000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000
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χ864444-4-444-4-4-4-4444-4000000004444-4-44444-4-4000000000000-4-40000000000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ874444-4-444-4-4-4-4444-400000000-4-4-4-444-4-4-4-444000000000000440000000000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ884444-4-444-4-4-4-4444-400000000-4-4-4-4-4-44444-4-400000000000044000000000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ894444-4-4-4-444-4-4-4-44400000000000000000000000044-4-44-4-440000000000-440000004-4-440000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-444-4-4-4-44400000000000000000000000044-4-4-444-40000000000-44000000-444-40000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-444-4-4-4-444000000000000000000000000-4-4444-4-4400000000004-4000000-444-40000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-444-4-4-4-444000000000000000000000000-4-444-444-400000000004-40000004-4-440000000000000000000000000000000000000000000000000000000000
χ9344-4-44-44-44-4000000000044-4-4000000004i−4i4i−4i00004i−4i4i−4i000000000000000000000000000000002-22-200002i−2i2i−2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ9444-4-44-44-44-4000000000044-4-4000000004i−4i4i−4i00004i−4i4i−4i00000000000000000000000000000000-22-220000−2i2i−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ9544-4-44-44-44-4000000000044-4-400000000−4i4i−4i4i0000−4i4i−4i4i000000000000000000000000000000002-22-20000−2i2i−2i2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ9644-4-44-44-44-4000000000044-4-400000000−4i4i−4i4i0000−4i4i−4i4i00000000000000000000000000000000-22-2200002i−2i2i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ9744-4-44-44-44-40000000000-4-444000000004i−4i4i−4i0000−4i4i−4i4i000000000000000000000000000000002-22-200002i−2i2i−2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ9844-4-44-44-44-40000000000-4-444000000004i−4i4i−4i0000−4i4i−4i4i00000000000000000000000000000000-22-220000−2i2i−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ9944-4-44-44-44-40000000000-4-44400000000−4i4i−4i4i00004i−4i4i−4i000000000000000000000000000000002-22-20000−2i2i−2i2i-22-222i−2i2i−2i00000000000000000000000000000000
χ10044-4-44-44-44-40000000000-4-44400000000−4i4i−4i4i00004i−4i4i−4i00000000000000000000000000000000-22-2200002i−2i2i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ10144-4-4-44-444-400000044-4-4000000004i−4i4i−4i000000004i−4i−4i4i000000000000000000000000000000002-2-2200002i−2i−2i2i2-2-222i−2i−2i2i00000000000000000000000000000000
χ10244-4-4-44-444-400000044-4-4000000004i−4i4i−4i000000004i−4i−4i4i00000000000000000000000000000000-222-20000−2i2i2i−2i-222-2−2i2i2i−2i00000000000000000000000000000000
χ10344-4-4-44-444-400000044-4-400000000−4i4i−4i4i00000000−4i4i4i−4i000000000000000000000000000000002-2-220000−2i2i2i−2i2-2-22−2i2i2i−2i00000000000000000000000000000000
χ10444-4-4-44-444-400000044-4-400000000−4i4i−4i4i00000000−4i4i4i−4i00000000000000000000000000000000-222-200002i−2i−2i2i-222-22i−2i−2i2i00000000000000000000000000000000
χ10544-4-4-44-444-4000000-4-444000000004i−4i4i−4i00000000−4i4i4i−4i000000000000000000000000000000002-2-2200002i−2i−2i2i-222-2−2i2i2i−2i00000000000000000000000000000000
χ10644-4-4-44-444-4000000-4-444000000004i−4i4i−4i00000000−4i4i4i−4i00000000000000000000000000000000-222-20000−2i2i2i−2i2-2-222i−2i−2i2i00000000000000000000000000000000
χ10744-4-4-44-444-4000000-4-44400000000−4i4i−4i4i000000004i−4i−4i4i000000000000000000000000000000002-2-220000−2i2i2i−2i-222-22i−2i−2i2i00000000000000000000000000000000
χ10844-4-4-44-444-4000000-4-44400000000−4i4i−4i4i000000004i−4i−4i4i00000000000000000000000000000000-222-200002i−2i−2i2i2-2-22−2i2i2i−2i00000000000000000000000000000000
χ10988-8-88-8-88-880000000000000000008i−8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-88-8-88-88000000000000000000−8i8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-888-8-8800000000000000000000008i−8i−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-880000000000000000000000−8i8i8i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8000000008-8004-44-44-44-4008-800000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8000000008-8004-44-44-44-400-880000000000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8000000008-800-44-44-44-44008-80000000000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8000000008-800-44-44-44-4400-8800000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800000000-88004-44-4-44-448-80000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800000000-88004-44-4-44-44-88000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-800000000-8800-44-444-44-48-8000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800000000-8800-44-444-44-4-880000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-880000008-800004-4-444-4-440000000000008-800000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ1228-8-880000008-800004-4-444-4-44000000000000-880000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ1238-8-880000008-80000-444-4-444-40000000000008-80000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ1248-8-880000008-80000-444-4-444-4000000000000-8800000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88000000-8800004-4-44-444-4000000000000008-8000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88000000-8800004-4-44-444-400000000000000-8800000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88000000-880000-444-44-4-44000000000000008-800000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88000000-880000-444-44-4-4400000000000000-88000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000

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