Finite Group Databasebeta

← Group #11001070

Character table — Group #11001070

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order122222223444444444444666666612121212121212121212121222224444444444442444661212121212124444222222226444444444444666666612121212121212121212121222224444444444442444661212121212124444
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
χ51111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1
χ61111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11
χ71111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-11
χ81111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-11-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-11-1
χ9111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-111-1111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-111-1
χ10111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111-1-11111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111-1-11
χ11111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11-1-11111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11-1-11
χ12111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-111-1111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-111-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-111
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χ1822222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
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χ2122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-111000022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
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χ2322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-2-22-1-11111-1-1000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-2-22-1-11111-1-10000
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χ1272-2-2222-2-220000−2i2i2i−2i000022-2-2-2-22−2i2i2i−2i0000000000002-2-220000−2i2i−2i2i0000000000000000-222-2-2-222-200002i−2i−2i2i0000-2-22222-22i−2i−2i2i000000000000-222-200002i−2i2i−2i0000000000000000
χ1282-2-2222-2-220000−2i2i2i−2i000022-2-2-2-22−2i2i2i−2i000000000000-222-200002i−2i2i−2i0000000000000000-222-2-2-222-200002i−2i−2i2i0000-2-22222-22i−2i−2i2i0000000000002-2-220000−2i2i−2i2i0000000000000000
χ1292-2-2-2-22222000000002-2-22-2-2-2-222200002-2-2200002-2-22000000002-2-220000000000000000-22222-2-2-2-200000000-222-22222-2-2-20000-222-20000-222-200000000-222-20000000000000000
χ1302-2-2-2-22222000000002-2-22-2-2-2-222200002-2-220000-222-200000000-222-20000000000000000-22222-2-2-2-200000000-222-22222-2-2-20000-222-200002-2-22000000002-2-220000000000000000
χ1312-2-2-2-2222200000000-222-2-2-2-2-22220000-222-200002-2-2200000000-222-20000000000000000-22222-2-2-2-2000000002-2-222222-2-2-200002-2-220000-222-2000000002-2-220000000000000000
χ1322-2-2-2-2222200000000-222-2-2-2-2-22220000-222-20000-222-2000000002-2-220000000000000000-22222-2-2-2-2000000002-2-222222-2-2-200002-2-2200002-2-2200000000-222-20000000000000000
χ133444-4-44-4-4-244-4-40000000022-2-222-200000000-2-22200000000000000000000000000000000-4-4-444-4442-4-44400000000-2-222-2-220000000022-2-200000000000000000000000000000000
χ134444-4-44-4-4-2-4-4440000000022-2-222-20000000022-2-200000000000000000000000000000000-4-4-444-444244-4-400000000-2-222-2-2200000000-2-22200000000000000000000000000000000
χ13544-44-4-44-4-2000000004i4i−4i−4i-22-22-2220000−2i−2i2i2i000000000000000000000000000000000000-4-44-444-44200000000−4i−4i4i4i2-22-22-2-200002i2i−2i−2i000000000000000000000000000000000000
χ13644-44-4-44-4-200000000−4i−4i4i4i-22-22-22200002i2i−2i−2i000000000000000000000000000000000000-4-44-444-442000000004i4i−4i−4i2-22-22-2-20000−2i−2i2i2i000000000000000000000000000000000000
χ13744-4-44-4-44-200004i4i−4i−4i00002-2-222-22−2i−2i2i2i0000000000000000000000000000000000000000-4-444-444-420000−4i−4i4i4i0000-222-2-22-22i2i−2i−2i0000000000000000000000000000000000000000
χ13844-4-44-4-44-20000−4i−4i4i4i00002-2-222-222i2i−2i−2i0000000000000000000000000000000000000000-4-444-444-4200004i4i−4i−4i0000-222-2-22-2−2i−2i2i2i0000000000000000000000000000000000000000
χ1394-444-4-4-44-24i−4i4i−4i00000000-222-22-2200000000−2i2i−2i2i00000000000000000000000000000000-44-4-4444-42−4i4i−4i4i000000002-2-22-22-2000000002i−2i2i−2i00000000000000000000000000000000
χ1404-444-4-4-44-2−4i4i−4i4i00000000-222-22-22000000002i−2i2i−2i00000000000000000000000000000000-44-4-4444-424i−4i4i−4i000000002-2-22-22-200000000−2i2i−2i2i00000000000000000000000000000000
χ1414-4-4444-4-4-200004i−4i−4i4i0000-2-22222-2−2i2i2i−2i0000000000000000000000000000000000000000-444-4-4-44420000−4i4i4i−4i000022-2-2-2-222i−2i−2i2i0000000000000000000000000000000000000000
χ1424-4-4444-4-4-20000−4i4i4i−4i0000-2-22222-22i−2i−2i2i0000000000000000000000000000000000000000-444-4-4-444200004i−4i−4i4i000022-2-2-2-22−2i2i2i−2i0000000000000000000000000000000000000000
χ1434-4-4-4-4444-2000000004-4-442222-2-2-20000-222-2000000000000000000000000000000000000-44444-4-4-4200000000-444-4-2-2-2-222200002-2-22000000000000000000000000000000000000
χ1444-4-4-4-4444-200000000-444-42222-2-2-200002-2-22000000000000000000000000000000000000-44444-4-4-42000000004-4-44-2-2-2-22220000-222-2000000000000000000000000000000000000

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