Finite Group Databasebeta

← Group #72253362

Character table — Group #72253362

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222222224444444444444444444444448888888888888888888888888888888888161616161616161616161616161616161616161616162424242424242424484848484848484848484848
order1222222222344444444666666622226666666666661212121212121212222222224444446666666666666666121212124488881212121212121212242424242424242488888888244488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ911111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ1011111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ1111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ1411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1511111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ1611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ1722222222222-2-2-2-2-2-2-2-222222222222222222222222-2-2-2-2-2-2-2-2000000000000-2-20000000000000000-2-2-2-2000000000000000000000000002i2i−2i−2i00002i−2i000000
χ1822222222222-2-2-2-2-2-2-2-222222222222222222222222-2-2-2-2-2-2-2-2000000000000-2-20000000000000000-2-2-2-200000000000000000000000000−2i−2i2i2i0000−2i2i000000
χ1922222222222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200000000000000002222000000000000000000000000002i2i−2i−2i0000−2i2i000000
χ2022222222222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000220000000000000000222200000000000000000000000000−2i−2i2i2i00002i−2i000000
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χ262222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111122-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ272222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222222222-2-211111111-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ282222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111112222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
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χ432222-22-2-2-2222-2-2-222-22-2-222-2-22000022-2-2000000002-222-2-22-20000-2-22200000000000000-2-222-2-2220000000000000000000000000022-2-20000-220000000000
χ442222-22-2-2-2222-2-2-222-22-2-222-2-22000022-2-2000000002-222-2-22-20000-2-22200000000000000-2-222-2-22200000000000000000000000000-2-22200002-20000000000
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Here i is the imaginary unit (i² = −1).