Finite Group Databasebeta

← Group #11001071

Character table — Group #11001071

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order1222222222223444444446666666666612121212121212124444444444444444244466121212121212444422222222222264444444466666666666121212121212121244444444444444442444661212121212124444
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
χ51111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111
χ61111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-111-1-11111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-111-1-1
χ81111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-111
χ911111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11
χ1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-11
χ1211111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-1
χ1311111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-111-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-111-1
χ1411111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-11-1-1111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-11-1-11
χ1511111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1111-1-1111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1111-1-11
χ1611111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-111-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-111-1
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
χ18222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
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χ20222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-222-21111-1-1-1-10000222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-222-21111-1-1-1-10000
χ2122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111000000000000000022-2-2-1-111-1-111000022222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111000000000000000022-2-2-1-111-1-1110000
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χ2322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-22-2-1-11111-1-1000022222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-22-2-1-11111-1-10000
χ2422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-22-2211-1-1-1-111000022222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-22-2211-1-1-1-1110000
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χ1302-2-2-2-22222-2-22200000000-22-2-2-2222-2-2200000000-222-2-222-2000000000000000000000000-22222-2-2-2-222-2-2000000002-2222-2-2-222-2000000002-2-222-2-22000000000000000000000000
χ1312-2-2-2-2222-222-2200000000-22-2-2-222-222-2000000002-2-22-222-2000000000000000000000000-22222-2-2-22-2-22-2000000002-2222-2-22-2-2200000000-222-22-2-22000000000000000000000000
χ1322-2-2-2-2222-222-2200000000-22-2-2-222-222-200000000-222-22-2-22000000000000000000000000-22222-2-2-22-2-22-2000000002-2222-2-22-2-22000000002-2-22-222-2000000000000000000000000
χ133444-4-4-44-444-4-4-200000000222-2-2-22-2-2220000000000000000000000000000000000000000-4-4-4444-44-4-444200000000-2-2-2222-222-2-20000000000000000000000000000000000000000
χ134444-4-4-44-4-4-444-200000000222-2-2-2222-2-20000000000000000000000000000000000000000-4-4-4444-4444-4-4200000000-2-2-2222-2-2-2220000000000000000000000000000000000000000
χ13544-44-44-4-40000-2000044-4-4-222-222-200000000-2-22200000000000000000000000000000000-4-44-44-444000020000-4-4442-2-22-2-220000000022-2-200000000000000000000000000000000
χ13644-44-44-4-40000-20000-4-444-222-222-20000000022-2-200000000000000000000000000000000-4-44-44-44400002000044-4-42-2-22-2-2200000000-2-22200000000000000000000000000000000
χ13744-4-44-4-440000-24i4i−4i−4i00002-2-2-22220000−2i−2i2i2i000000000000000000000000000000000000-4-444-444-400002−4i−4i4i4i0000-2222-2-2-200002i2i−2i−2i000000000000000000000000000000000000
χ13844-4-44-4-440000-2−4i−4i4i4i00002-2-2-222200002i2i−2i−2i000000000000000000000000000000000000-4-444-444-4000024i4i−4i−4i0000-2222-2-2-20000−2i−2i2i2i000000000000000000000000000000000000
χ1394-444-4-4-440000-200004i−4i4i−4i-2-222-22200000000−2i2i−2i2i00000000000000000000000000000000-44-4-4444-4000020000−4i4i−4i4i22-2-22-2-2000000002i−2i2i−2i00000000000000000000000000000000
χ1404-444-4-4-440000-20000−4i4i−4i4i-2-222-222000000002i−2i2i−2i00000000000000000000000000000000-44-4-4444-40000200004i−4i4i−4i22-2-22-2-200000000−2i2i−2i2i00000000000000000000000000000000
χ1414-44-444-4-40000-24-44-4000022-22-22-20000-22-22000000000000000000000000000000000000-44-44-4-44400002-44-440000-2-22-22-2200002-22-2000000000000000000000000000000000000
χ1424-44-444-4-40000-2-44-44000022-22-22-200002-22-2000000000000000000000000000000000000-44-44-4-444000024-44-40000-2-22-22-220000-22-22000000000000000000000000000000000000
χ1434-4-4-4-44444-4-44-2000000002-2222-2-2-222-20000000000000000000000000000000000000000-44444-4-4-4-444-4200000000-22-2-2-2222-2-220000000000000000000000000000000000000000
χ1444-4-4-4-4444-444-4-2000000002-2222-2-22-2-220000000000000000000000000000000000000000-44444-4-4-44-4-44200000000-22-2-2-222-222-20000000000000000000000000000000000000000

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