Finite Group Databasebeta

← Group #72271127

Character table — Group #72271127

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444444446666666688888888888888888888888888121212121212121212121212161616161616161616161616161616161616161624242424242424242424242432323232484848484848
order12222222223444466622224444446666661212121222224444222444444444666612121212121212121212222222444444444444666121212121212121212121222222444444412121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1111111-1-1111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111111111111111111111-1-111-1-1-1-11-1-11-1-1-1-11111-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1-111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-111-111-111-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-11111-1-111
χ9111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-111-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ11111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111
χ12111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-1-1-1-111-111-1-111-1-111
χ13111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-111-111-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-111
χ15111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-111-1-11-1-11-1-1-1-1-1-1-1-111-111-111-111-1111111-1-1-1-1
χ16111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111111111-1-11111-1-1111-1-1-1-111-1-1
χ1711111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-111-111-11-111-1-11-1-11-111-1-11-111-11-11-11-11-1
χ1811111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11-111-1-11-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-111-11-1-11-1-1-11-11-1-1111-11-11-11-11-11-11-1-11-11-111-1
χ1911111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-11-111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11-111-111-11-1111-1-1-11-1-111-11-1-111-11-111-1-11-11
χ2011111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-111-1-11-111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11-11-11-1-11-11-11-1-1-111-1111-1-1-1111-1-1-111-1-111-1-11
χ2111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-11-11-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11-111-111-11-111-1-1-111-11-1-111-11-11-11-1-11-11-11
χ2211111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-11-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-111-11-1-11-1-1-11-11-1-111-11-11-11-11-11-111-1-111-11-1-11
χ2311111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-111-111-11-1111-1-11-111-1-11-111-1-1-11-11-111-11-1
χ2411111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-1-11-111-1111111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11-11-11-1-11-11-11-1-1-1111-1-1-1111-1-1-111-111-11-1-111-1
χ2511111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-11-11-111-111-111-11-1-1-1111-1-11-111-1-11-11-11-11-11-11-11
χ2611111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-11-111-1-11-11-1-1-1-111-1-111111111-1-1-1-1-1-111111-11-1-111-1-11-1-1-11-1111-1-11-11-11-11-11-11-1-111-11-11-1-11
χ2711111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-111-1-11-111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1-111-1-111-111-11-11-1-111-11-1-111-11-1-1111-11-1-111-11-1
χ2811111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-111-1-11-111-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-111-11-1-11-1-11-11-11-111-1-1-1111-1-1-1111-1-11-1-111-1-111-1
χ2911111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-11-11-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-111-111-111-11-1-1-111-111-11-1-111-11-1-11-111-11-11-1
χ3011111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-11-111-1-11-11-1-1-1-111-1-1111111-1-1111111-1-1-1-11-11-1-111-1-11-1-1-11-1111-1-1-11-11-11-11-11-11-111-1-11-111-1
χ3111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-11-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-111-111-11-11-1-1111-111-1-11-111-1-11-11-11-1-11-11
χ3211111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-111-1-11-111-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-111-11-1-11-1-11-11-11-111-1-11-1-1-1111-1-1-1111-1-11-111-1-11
χ332222222222-12222-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ342222222222-12222-1-1-12222222222-1-1-1-1-1-1-1-1-1-10000000022-2-2-2-222-2-2-2-2-1-1-1-111-1-1-1-1-1-111000000000000-2-2-2-222-1-11-1-1111111111000000000000-1-111000000
χ352222222222-12222-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-222-2-211-111-11111-1-1-1-10000000000001111000000
χ362222222222-12222-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000-2-2-2-222-2-2-2-222-1-1-1-111-1-1-1-1-1-11100000000000022-2-2-2-2111111-1-1-1-1111100000000000011-1-1000000
χ372222222222-12222-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000002222222222221111-1-1-1-11111-1-1000000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111110000000000001111000000
χ382222222222-12222-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000022-2-2-2-222-2-2-2-2111111-1-11111110000000000002222-2-2-1-11-1-111111-1-1-1-100000000000011-1-1000000
χ392222222222-12222-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000-2-222-2-2-2-222-2-21111-1-1-1-11111-1-100000000000022-2-22211-111-111111111000000000000-1-1-1-1000000
χ402222222222-12222-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000-2-2-2-222-2-2-2-222111111-1-1111111000000000000-2-22222111111-1-1-1-1-1-1-1-1000000000000-1-111000000
χ412222222222-1-2-2-2-2-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-11111000000002-22-22-22-22-22-2-1-1-1-111111111110000000000002-22-22-2-11-1-11-1-11-11-1-111000000000000-11-11000000
χ422222222222-1-2-2-2-2-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-11111000000002-2-22-222-2-22-22-1-1-1-1-1-1111111-1-1000000000000-22-222-2-111-1111-11-111-1-1000000000000-111-1000000
χ432222222222-1-2-2-2-2-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1111100000000-222-2-22-222-2-22-1-1-1-11111111111000000000000-222-2-221-1-11-1-11-11-1-1-1110000000000001-11-1000000
χ442222222222-1-2-2-2-2-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1111100000000-22-222-2-22-222-2-1-1-1-1-1-1111111-1-10000000000002-2-22-221-111-11-11-1111-1-10000000000001-1-11000000
χ452222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-11111000000002-22-22-22-22-22-211111111-1-1-1-111000000000000-22-22-22-11-1-11-1-11-1111-1-10000000000001-11-1000000
χ462222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-11111000000002-2-22-222-2-22-221111-1-111-1-1-1-1-1-10000000000002-22-2-22-111-1111-11-1-1-1110000000000001-1-11000000
χ472222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-1111100000000-222-2-22-222-2-2211111111-1-1-1-1110000000000002-2-222-21-1-11-1-11-11-111-1-1000000000000-11-11000000
χ482222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-1111100000000-22-222-2-22-222-21111-1-111-1-1-1-1-1-1000000000000-222-22-21-111-11-11-11-1-111000000000000-111-1000000
χ4922222-2-2-2-22222-2-222200002-200002-2-2-22-222-2-2222222-2-2220000-2-200000000002-2000000-2-200002-20000000000220-2-2000000000220000-2-200000000000000
χ5022222-2-2-2-22222-2-222200002-200002-2-2-22-222-2-2222222-2-2-2-200002200000000002-2000000-2-200002-20000000000-2-2022000000000-2-200002200000000000000
χ5122222-2-2-2-22222-2-222200002-200002-2-2-22-222-2-2-2-2-2-2-2-222220000-2-200000000002-2000000220000-220000000000220-2-2000000000-2-200002200000000000000
χ5222222-2-2-2-22222-2-222200002-200002-2-2-22-222-2-2-2-2-2-2-2-222-2-200002200000000002-2000000220000-220000000000-2-2022000000000220000-2-200000000000000
χ5322222-2-2-2-222-2-2222220000-2200002-2-2-22-2-2-2222222-2-2222-20000-220000000000-22000000-2-20000-2200000000002-20-220000000002-20000-2200000000000000
χ5422222-2-2-2-222-2-2222220000-2200002-2-2-22-2-2-2222222-2-222-2200002-20000000000-22000000-2-20000-220000000000-2202-2000000000-2200002-200000000000000
χ5522222-2-2-2-222-2-2222220000-2200002-2-2-22-2-2-222-2-2-2-222-2-22-20000-220000000000-220000002200002-200000000002-20-22000000000-2200002-200000000000000
χ5622222-2-2-2-222-2-2222220000-2200002-2-2-22-2-2-222-2-2-2-222-2-2-2200002-20000000000-220000002200002-20000000000-2202-20000000002-20000-2200000000000000
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χ582222-22-2-22-2222-2-22220000-220000-22-2-2-2222-2-222-2-222220000-2-2000022000000-220000002-20000-2-20000000000000000-2-2220000000220000-2-200000000000
χ592222-22-2-22-2222-2-22220000-220000-22-2-2-2222-2-2-2-222-2-2-2-20000220000-2-2000000-22000000-22000022000000000000000022-2-20000000220000-2-200000000000
χ602222-22-2-22-2222-2-22220000-220000-22-2-2-2222-2-2-2-222-2-2-2-20000-2-2000022000000-22000000-220000220000000000000000-2-2220000000-2-200002200000000000
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χ632222-22-2-22-22-2-22222200002-20000-22-2-2-22-2-222-2-222222200002-20000-220000002-2000000-220000-2-200000000000000002-2-2200000002-20000-2200000000000
χ642222-22-2-22-22-2-22222200002-20000-22-2-2-22-2-222-2-22222220000-2200002-20000002-2000000-220000-2-20000000000000000-222-20000000-2200002-200000000000
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χ662222-2-222-2-2222222220000-2-20000-2-222-2-2222222-2-222-2-200-2200002-200000022-2-20000-2-2-220000-22000000000000-20020000000000-200200200-20000000000
χ672222-2-222-2-2222222220000-2-20000-2-222-2-22222-2-222-2-222002-20000-22000000-2-2-2-20000222-200002-2000000000000200-20000000000-200200200-20000000000
χ682222-2-222-2-2222222220000-2-20000-2-222-2-22222-2-222-2-22200-2200002-200000022-2-20000-2-22-200002-2000000000000-20020000000000200-200-20020000000000
χ692222-2-222-2-22-2-2-2-22220000220000-2-222-2-2-2-2-2-222-2-2-2-22200220000-2-200000022220000-2-2-2200002-2000000000000200-20000000000-200-20020020000000000
χ702222-2-222-2-22-2-2-2-22220000220000-2-222-2-2-2-2-2-222-2-2-2-22200-2-2000022000000-2-222000022-2200002-2000000000000-20020000000000200200-200-20000000000
χ712222-2-222-2-22-2-2-2-22220000220000-2-222-2-2-2-2-2-2-2-22222-2-200220000-2-200000022220000-2-22-20000-22000000000000200-20000000000200200-200-20000000000
χ722222-2-222-2-22-2-2-2-22220000220000-2-222-2-2-2-2-2-2-2-22222-2-200-2-2000022000000-2-2220000222-20000-22000000000000-20020000000000-200-20020020000000000
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Here i is the imaginary unit (i² = −1).