Finite Group Databasebeta

← Group #11001086

Character table — Group #11001086

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order12222222222234444444466666666666121212121212121244444444444444444444121212121212121244442222222222226444444446666666666612121212121212124444444444444444444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-11111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ911111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-11-111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-11-1
χ1011111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-11
χ1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-11
χ1211111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-11-111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-11-1
χ1311111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-11-1-1111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-11-1-11
χ1411111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-111-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-111-1
χ1511111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1-111-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1-111-1
χ1611111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1111-1-1111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1111-1-11
χ17222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
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χ2122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111000000000000000022-2-21111-1-1-1-1000022222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111000000000000000022-2-21111-1-1-1-10000
χ2222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-2-222-1-1-1-11111000022222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-2-222-1-1-1-111110000
χ2322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-2211-1-1-1-111000022222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-2211-1-1-1-1110000
χ2422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-2-1-11111-1-1000022222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-2-1-11111-1-10000
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χ13744-4-4-4-4440000-200004i4i−4i−4i-2222-2-2200000000−2i−2i2i2i00000000000000000000000000000000-4-44444-4-4000020000−4i−4i4i4i2-2-2-222-2000000002i2i−2i−2i00000000000000000000000000000000
χ13844-4-4-4-4440000-20000−4i−4i4i4i-2222-2-22000000002i2i−2i−2i00000000000000000000000000000000-4-44444-4-40000200004i4i−4i−4i2-2-2-222-200000000−2i−2i2i2i00000000000000000000000000000000
χ1394-444-4-44-40000-24-44-400002-222-22-20000-22-22000000000000000000000000000000000000-44-4-444-4400002-44-440000-22-2-22-2200002-22-2000000000000000000000000000000000000
χ1404-444-4-44-40000-2-44-4400002-222-22-200002-22-2000000000000000000000000000000000000-44-4-444-44000024-44-40000-22-2-22-220000-22-22000000000000000000000000000000000000
χ1414-44-4-44-440000-200004i−4i4i−4i2-22-22-2200000000−2i2i−2i2i00000000000000000000000000000000-44-444-44-4000020000−4i4i−4i4i-22-22-22-2000000002i−2i2i−2i00000000000000000000000000000000
χ1424-44-4-44-440000-20000−4i4i−4i4i2-22-22-22000000002i−2i2i−2i00000000000000000000000000000000-44-444-44-40000200004i−4i4i−4i-22-22-22-200000000−2i2i−2i2i00000000000000000000000000000000
χ1434-4-4-4444-44-4-44-20000000022-2-2-222-222-20000000000000000000000000000000000000000-4444-4-4-44-444-4200000000-2-2222-2-22-2-220000000000000000000000000000000000000000
χ1444-4-4-4444-4-444-4-20000000022-2-2-2222-2-220000000000000000000000000000000000000000-4444-4-4-444-4-44200000000-2-2222-2-2-222-20000000000000000000000000000000000000000

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