Finite Group Databasebeta

← Group #72266785

Character table — Group #72266785

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11222222222222222444444444444444444444444444444448888888888888888888888888888888888888888888816161616161616161616161616161616161632323232323232
order1222222222222222222222222222222224444444444444444222222444444444444444444444444444444444444442222444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ511111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111111-1-1-1-1-1-1-1-1-1-1111
χ611111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-11111111111-1-1-1
χ711111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-11-1111111-1-1-1-1-1-11111-1-1-1
χ811111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1111-11-1-1-1-1-1-1111111-1-1-1-1111
χ9111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11-1-1
χ10111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-111
χ11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-111-111
χ12111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111111-1-11-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-111-1-1-1-1-1-11111-1-1111-1-1
χ14111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-11-1-1111111-1-1-1-111-1-1-111
χ15111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-1-1-1111111-1-1-111
χ16111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111-11-1-1111111-1-1-1-1-1-1111-1-1
χ1711111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11-11-1-11-1
χ1811111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-111-11
χ1911111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-11-111-11
χ2011111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1111-11-1-11-1
χ2111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-111-1-111-1-111-11-11-11-1
χ2211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1111-1-111-1-111-1-11-11-11-11
χ2311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-11-1-1-111-1-111-1-1111-11-11-11
χ2411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111-1111-1-111-1-111-1-1-11-11-11-1
χ2511111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-11-1-11
χ2611111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-111-111-1
χ2711111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-111-111-1
χ2811111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11-1-11
χ2911111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-1111111-1-1-111-1-1-11
χ3011111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-1111-1-1111-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1-1111111-1-11-1-1111-1
χ3211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-111111-1-1-1-1-1-111-111-1-1-11
χ33222222-2-222-2-22-2-2-2-20000000022-2-222-2-20000000022-2-222-2-20000220000-2-200002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000
χ34222222-2-222-2-22-2-2-2-20000000022-2-222-2-20000000022-2-222-2-20000220000-2-20000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000
χ35222222-2-222-2-22-2-2-2-20000000022-2-2-2-2220000000022-2-2-2-2220000-2-200002200002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000
χ36222222-2-222-2-22-2-2-2-20000000022-2-2-2-2220000000022-2-2-2-2220000-2-20000220000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000
χ37222222-2-222-2-22-2-2-2-200000000-2-22222-2-200000000-2-22222-2-20000-2-200002200002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000
χ38222222-2-222-2-22-2-2-2-200000000-2-22222-2-200000000-2-22222-2-20000-2-20000220000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000
χ39222222-2-222-2-22-2-2-2-200000000-2-222-2-22200000000-2-222-2-2220000220000-2-200002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000
χ40222222-2-222-2-22-2-2-2-200000000-2-222-2-22200000000-2-222-2-2220000220000-2-20000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000
χ412222-2-2222-22-2-22-2-2-2000022-2-200002-22-2000022-2-200002-22-200220000-2-20000002i−2i2i−2i00002i2i−2i−2i00002i−2i2i−2i00002i2i−2i−2i0000000000000000000000000
χ422222-2-2222-22-2-22-2-2-2000022-2-200002-22-2000022-2-200002-22-200220000-2-2000000−2i2i−2i2i0000−2i−2i2i2i0000−2i2i−2i2i0000−2i−2i2i2i0000000000000000000000000
χ432222-2-2222-22-2-22-2-2-2000022-2-20000-22-22000022-2-20000-22-2200-2-20000220000002i−2i2i−2i00002i2i−2i−2i0000−2i2i−2i2i0000−2i−2i2i2i0000000000000000000000000
χ442222-2-2222-22-2-22-2-2-2000022-2-20000-22-22000022-2-20000-22-2200-2-2000022000000−2i2i−2i2i0000−2i−2i2i2i00002i−2i2i−2i00002i2i−2i−2i0000000000000000000000000
χ452222-2-2222-22-2-22-2-2-20000-2-22200002-22-20000-2-22200002-22-200-2-20000220000002i−2i2i−2i0000−2i−2i2i2i00002i−2i2i−2i0000−2i−2i2i2i0000000000000000000000000
χ462222-2-2222-22-2-22-2-2-20000-2-22200002-22-20000-2-22200002-22-200-2-2000022000000−2i2i−2i2i00002i2i−2i−2i0000−2i2i−2i2i00002i2i−2i−2i0000000000000000000000000
χ472222-2-2222-22-2-22-2-2-20000-2-2220000-22-220000-2-2220000-22-2200220000-2-20000002i−2i2i−2i0000−2i−2i2i2i0000−2i2i−2i2i00002i2i−2i−2i0000000000000000000000000
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χ492222-2-2-2-22-2-22-2-22222222000000002-2-22-2-2-2-2000000002-2-222-200002-2000022-2-22-2-220000000022-2-22-2-22000000000000000000000000000000000
χ502222-2-2-2-22-2-22-2-22222222000000002-2-22-2-2-2-2000000002-2-222-200002-20000-2-222-222-200000000-2-222-222-2000000000000000000000000000000000
χ512222-2-2-2-22-2-22-2-2222222200000000-222-2-2-2-2-200000000-222-2-220000-22000022-2-22-2-2200000000-2-222-222-2000000000000000000000000000000000
χ522222-2-2-2-22-2-22-2-2222222200000000-222-2-2-2-2-200000000-222-2-220000-220000-2-222-222-20000000022-2-22-2-22000000000000000000000000000000000
χ532222-2-2-2-22-2-22-2-2222-2-2-2-2000000002-2-222222000000002-2-22-220000-22000022-2-2-222-20000000022-2-2-222-2000000000000000000000000000000000
χ542222-2-2-2-22-2-22-2-2222-2-2-2-2000000002-2-222222000000002-2-22-220000-220000-2-2222-2-2200000000-2-2222-2-22000000000000000000000000000000000
χ552222-2-2-2-22-2-22-2-2222-2-2-2-200000000-222-2222200000000-222-22-200002-2000022-2-2-222-200000000-2-2222-2-22000000000000000000000000000000000
χ562222-2-2-2-22-2-22-2-2222-2-2-2-200000000-222-2222200000000-222-22-200002-20000-2-2222-2-220000000022-2-2-222-2000000000000000000000000000000000
χ57222-22-22-2-2-2-2-22222-222-2-22-22-22-22-2000022-2-22-22-22-22-20000000000000000000000000000000000000000000000002000-202-22-22-20000000000000
χ58222-22-22-2-2-2-2-22222-222-2-22-22-22-22-2000022-2-22-22-22-22-2000000000000000000000000000000000000000000000000-200020-22-22-220000000000000
χ59222-22-22-2-2-2-2-22222-222-2-2-22-22-22-22000022-2-2-22-22-22-220000000000000000000000000000000000000000000000002000-202-2-22-220000000000000
χ60222-22-22-2-2-2-2-22222-222-2-2-22-22-22-22000022-2-2-22-22-22-22000000000000000000000000000000000000000000000000-200020-222-22-20000000000000
χ61222-22-22-2-2-2-2-22222-2-2-2222-22-2-22-220000-2-2222-22-2-22-220000000000000000000000000000000000000000000000002000-20-222-2-220000000000000
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χ7022-22-22-22-2-2-2-2222-22-22-222-2-22-222-20000-22-22-222-22-2-220000000000000000000000000000000000000000000000000-200020000002-2-222-20000000
χ7122-22-22-22-2-2-2-2222-22-22-22-222-22-2-220000-22-222-2-22-222-200000000000000000000000000000000000000000000000002000-2000000-22-222-20000000
χ7222-22-22-22-2-2-2-2222-22-22-22-222-22-2-220000-22-222-2-22-222-20000000000000000000000000000000000000000000000000-200020000002-22-2-220000000
χ7322-2-222222-2-22-2-22-2-22-2-22000000002-2-22-222-200000000-222-2220000-2-20000000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000
χ7422-2-222222-2-22-2-22-2-22-2-22000000002-2-22-222-200000000-222-2220000-2-2000000000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000
χ7522-2-222222-2-22-2-22-2-22-2-2200000000-222-2-222-2000000002-2-22-2-20000220000000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000
χ7622-2-222222-2-22-2-22-2-22-2-2200000000-222-2-222-2000000002-2-22-2-2000022000000000000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000
χ7722-2-222222-2-22-2-22-2-2-222-2000000002-2-222-2-2200000000-222-2-2-20000220000000000002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000
χ7822-2-222222-2-22-2-22-2-2-222-2000000002-2-222-2-2200000000-222-2-2-2000022000000000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000
χ7922-2-222222-2-22-2-22-2-2-222-200000000-222-22-2-22000000002-2-22220000-2-20000000000002i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000
χ8022-2-222222-2-22-2-22-2-2-222-200000000-222-22-2-22000000002-2-22220000-2-2000000000000−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000
χ8122-2-222-2-22-22-2-22-2220000222200002-22-20000-2-2-2-20000-22-22002-200002-2002-22-200002-2-2200002-22-200002-2-2200000000000000000000000000000
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χ8522-2-222-2-22-22-2-22-2220000-2-2-2-200002-22-2000022220000-22-2200-220000-22002-22-20000-222-200002-22-20000-222-200000000000000000000000000000
χ8622-2-222-2-22-22-2-22-2220000-2-2-2-200002-22-2000022220000-22-2200-220000-2200-22-2200002-2-220000-22-2200002-2-2200000000000000000000000000000
χ8722-2-222-2-22-22-2-22-2220000-2-2-2-20000-22-220000222200002-22-2002-200002-2002-22-20000-222-20000-22-2200002-2-2200000000000000000000000000000
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χ109444-4-44-44-444-4-4-444-444-4-4000000000000-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11716-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004-4000000000000000000000
χ11816-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-44000000000000000000000

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