Finite Group Databasebeta

← Group #11001087

Character table — Group #11001087

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order1222222234444444444446666666121212121212121212121212222244444444444444441212121212121212444422222222644444444444466666661212121212121212121212122222444444444444444412121212121212124444
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
χ51111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-11111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1
χ61111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-11
χ81111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-11-11111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-11-1
χ9111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ10111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ11111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ12111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-111-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ1722222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
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χ2022222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-1000022222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-10000
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χ2222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-2-2221111-1-1-1-1000022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-2-2221111-1-1-1-10000
χ2322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-1000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-10000
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χ262222-2-2-2-2222-2-200000000222-2-2-2-222-2-200000000-2-222-2-2220000000000000000000000002222-2-2-2-2222-2-200000000222-2-2-2-222-2-200000000-2-222-2-222000000000000000000000000
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χ1292-2-22-2-222200002-2-220000-2-22-2-22200002-2-2200002-2-2200002-2-2200000000000000000000-222-222-2-2-20000-222-2000022-222-2-20000-222-20000-222-20000-222-200000000000000000000
χ1302-2-22-2-222200002-2-220000-2-22-2-22200002-2-220000-222-20000-222-200000000000000000000-222-222-2-2-20000-222-2000022-222-2-20000-222-200002-2-2200002-2-2200000000000000000000
χ1312-2-22-2-22220000-222-20000-2-22-2-2220000-222-200002-2-220000-222-200000000000000000000-222-222-2-2-200002-2-22000022-222-2-200002-2-220000-222-200002-2-2200000000000000000000
χ1322-2-22-2-22220000-222-20000-2-22-2-2220000-222-20000-222-200002-2-2200000000000000000000-222-222-2-2-200002-2-22000022-222-2-200002-2-2200002-2-220000-222-200000000000000000000
χ1334444-4-4-4-4-244-4-400000000-2-2-22222-2-2220000000000000000000000000000000000000000-4-4-4-444442-4-44400000000222-2-2-2-222-2-20000000000000000000000000000000000000000
χ1344444-4-4-4-4-2-4-44400000000-2-2-2222222-2-20000000000000000000000000000000000000000-4-4-4-44444244-4-400000000222-2-2-2-2-2-2220000000000000000000000000000000000000000
χ13544-4-44-44-4-2000000004i4i−4i−4i-222-22-2200000000−2i−2i2i2i00000000000000000000000000000000-4-444-44-44200000000−4i−4i4i4i2-2-22-22-2000000002i2i−2i−2i00000000000000000000000000000000
χ13644-4-44-44-4-200000000−4i−4i4i4i-222-22-22000000002i2i−2i−2i00000000000000000000000000000000-4-444-44-442000000004i4i−4i−4i2-2-22-22-200000000−2i−2i2i2i00000000000000000000000000000000
χ13744-4-4-44-44-200004i4i−4i−4i0000-2222-22-20000−2i−2i2i2i000000000000000000000000000000000000-4-4444-44-420000−4i−4i4i4i00002-2-2-22-2200002i2i−2i−2i000000000000000000000000000000000000
χ13844-4-4-44-44-20000−4i−4i4i4i0000-2222-22-200002i2i−2i−2i000000000000000000000000000000000000-4-4444-44-4200004i4i−4i−4i00002-2-2-22-220000−2i−2i2i2i000000000000000000000000000000000000
χ1394-44-4-444-4-24i−4i−4i4i000000002-222-2-22−2i2i2i−2i0000000000000000000000000000000000000000-44-444-4-442−4i4i4i−4i00000000-22-2-222-22i−2i−2i2i0000000000000000000000000000000000000000
χ1404-44-4-444-4-2−4i4i4i−4i000000002-222-2-222i−2i−2i2i0000000000000000000000000000000000000000-44-444-4-4424i−4i−4i4i00000000-22-2-222-2−2i2i2i−2i0000000000000000000000000000000000000000
χ1414-4-4444-4-4-2000000004i−4i−4i4i22-2-2-22200000000−2i2i2i−2i00000000000000000000000000000000-444-4-4-444200000000−4i4i4i−4i-2-2222-2-2000000002i−2i−2i2i00000000000000000000000000000000
χ1424-4-4444-4-4-200000000−4i4i4i−4i22-2-2-222000000002i−2i−2i2i00000000000000000000000000000000-444-4-4-4442000000004i−4i−4i4i-2-2222-2-200000000−2i2i2i−2i00000000000000000000000000000000
χ1434-4-44-4-444-200004-4-44000022-222-2-20000-222-2000000000000000000000000000000000000-444-444-4-420000-444-40000-2-22-2-22200002-2-22000000000000000000000000000000000000
χ1444-4-44-4-444-20000-444-4000022-222-2-200002-2-22000000000000000000000000000000000000-444-444-4-4200004-4-440000-2-22-2-2220000-222-2000000000000000000000000000000000000

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