Finite Group Databasebeta

← Group #72340447

Character table — Group #72340447

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131
size1122222224444444444448888888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222222222224444444422222222222244444444444444448888888888888888888888888888888822444444444444888888888888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i
χ101111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111−i−iii−i−iii
χ111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii
χ121111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111ii−i−iii−i−i
χ131111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i−i−iii
χ141111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiii−i−i
χ151111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ161111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ1711-1-1-1-11111-1-111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-111-1-11-11-1i−ii−ii−ii−i
χ1811-1-1-1-11111-1-111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11-1-111-11-11−ii−ii−ii−ii
χ1911-1-1-1-11111-1-111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-111-1-11-11-1−ii−ii−ii−ii
χ2011-1-1-1-11111-1-111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-11-11-1-111-11-11i−ii−ii−ii−i
χ2111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii1-11-111-1-1-11-11i−ii−i−ii−ii
χ2211-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11-1-1111-11-1−ii−iii−ii−i
χ2311-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i1-11-111-1-1-11-11−ii−iii−ii−i
χ2411-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11-1-1111-11-1i−ii−i−ii−ii
χ2511-1-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-11-1-1-1111-1-111-1-111-1-11
χ2611-1-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1111-1-1-111-1-111-1-111-1
χ2711-1-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1-1-1111-1-11-111-1-111-1
χ2811-1-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-11-1111-1-1-111-11-1-111-1-11
χ2911-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-11-1-1-111-111-11-1-11-111-1
χ3011-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-1111-1-11-1-11-111-11-1-11
χ3111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-11-1-1-111-111-1-111-11-1-11
χ3211-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-1111-1-11-1-111-1-11-111-1
χ3322222222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ3422222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2-2-222222222000000000000000000000000000000000000
χ35222222222222222222222-2-200000000-2-20000000022-2-222-2-200000000000000002222222222222222-2-22-22-20000000000000000-2-2-2-2-2-2-2-200000000000000000000
χ36222222222222222222222-2-200000000-2-20000000022-2-222-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-22-200000000000000002222222200000000000000000000
χ37222222222222222222222-2-200000000-2-200000000-2-222-2-22222222222222222220000000000000000-2-2-22-2200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ38222222222222222222222-2-200000000-2-200000000-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-22-2200000000222222220000000000000000000000000000
χ392222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-22222222200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ402222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-222222222222200000000000000000000000000000000-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ412222222222222-2-2-2-2-2-2-2-2-2-200000000-2-20000000022-2-222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000022-22-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ422222222222222-2-2-2-2-2-2-2-2-2-200000000-2-20000000022-2-222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000022-22-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ432222222222222-2-2-2-2-2-2-2-2-2-200000000-2-200000000-2-222-2-22200000000000000002i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i222-22-20000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ442222222222222-2-2-2-2-2-2-2-2-2-200000000-2-200000000-2-222-2-2220000000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i222-22-200000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000
χ452222-2-22-2-222-2-2000000002-2000022222-20000-2-2-2-22i−2i2i−2i2i−2i2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000002i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ462222-2-22-2-222-2-2000000002-2000022222-20000-2-2-2-22i−2i2i−2i2i−2i2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000002i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ472222-2-22-2-222-2-2000000002-2000022222-20000-2-2-2-2−2i2i−2i2i−2i2i−2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
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χ492222-2-22-2-222-2-2000000002-20000-2-2-2-22-2000022222i−2i2i−2i2i−2i2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000−2i2i−2i2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ502222-2-22-2-222-2-2000000002-20000-2-2-2-22-2000022222i−2i2i−2i2i−2i2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000−2i2i−2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ512222-2-22-2-222-2-2000000002-20000-2-2-2-22-200002222−2i2i−2i2i−2i2i−2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000002i−2i2i−2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
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χ11644-444-4-4-440000-440040-4000-222-22-2-22002-2-22-222-200000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000
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χ11844-44-44-44-40000004-40-404002-2-222-2-22002-2-222-2-2200000000-22-222-22-2-22-222-22-2-22-222-22-2-22-222-22-200000000000000000000000000000000000000000000000000
χ11944-44-44-44-40000004-40-40400-222-2-222-200-222-2-222-2000000002-22-2-22-222-22-2-22-22-22-222-22-2-22-222-22-200000000000000000000000000000000000000000000000000
χ12044-44-44-44-40000004-40-40400-222-2-222-200-222-2-222-200000000-22-222-22-2-22-222-22-22-22-2-22-222-22-2-22-2200000000000000000000000000000000000000000000000000
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χ12344-44-44-44-4000000-44040-400-222-22-2-2200-222-22-2-22000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ12444-44-44-44-4000000-44040-400-222-22-2-2200-222-22-2-2200000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000
χ12544-4-4-4-4444-444-444-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-22000000000000
χ12644-4-4-4-4444-444-444-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2-222-2000000000000
χ12744-4-4-4-4444-444-4-4-4444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ12844-4-4-4-4444-444-4-4-4444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ1298888-8-88-8-8-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8888-8-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13132-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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