Finite Group Databasebeta

← Group #11001047

Character table — Group #11001047

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order12222222344444444444466666661212121212121212121212122222444444444444224466661212121244442222222264444444444446666666121212121212121212121212222244444444444422446666121212124444
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
χ9111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-1-11111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-1-11
χ10111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-111-1111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-111-1
χ11111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-111-1111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-111-1
χ12111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-1-11111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-1-11
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1
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
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
χ1922222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-111000022222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
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
χ2122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-2-22-1-11111-1-1000022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-2-22-1-11111-1-10000
χ2222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-222-211-1-1-1-111000022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-222-211-1-1-1-1110000
χ2322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1000000000000000022-2-2-1-1-1-11111000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1000000000000000022-2-2-1-1-1-111110000
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χ13344-444-4-4-4-200004-44-40000-2222-22-20000-22-22000000000000000000000000000000000000-4-44-4-444420000-44-4400002-2-2-22-2200002-22-2000000000000000000000000000000000000
χ13444-444-4-4-4-20000-44-440000-2222-22-200002-22-2000000000000000000000000000000000000-4-44-4-4444200004-44-400002-2-2-22-220000-22-22000000000000000000000000000000000000
χ13544-4-4-444-4-200004i−4i−4i4i0000-22-222-220000−2i2i2i−2i000000000000000000000000000000000000-4-4444-4-4420000−4i4i4i−4i00002-22-2-22-200002i−2i−2i2i000000000000000000000000000000000000
χ13644-4-4-444-4-20000−4i4i4i−4i0000-22-222-2200002i−2i−2i2i000000000000000000000000000000000000-4-4444-4-44200004i−4i−4i4i00002-22-2-22-20000−2i2i2i−2i000000000000000000000000000000000000
χ1374-444-44-4-4-24-44-4000000002-2222-2-2-22-220000000000000000000000000000000000000000-44-4-44-4442-44-4400000000-22-2-2-2222-22-20000000000000000000000000000000000000000
χ1384-444-44-4-4-2-44-44000000002-2222-2-22-22-20000000000000000000000000000000000000000-44-4-44-44424-44-400000000-22-2-2-222-22-220000000000000000000000000000000000000000
χ1394-44-44-44-4-24i−4i−4i4i000000002-2-22-222−2i2i2i−2i0000000000000000000000000000000000000000-44-44-44-442−4i4i4i−4i00000000-222-22-2-22i−2i−2i2i0000000000000000000000000000000000000000
χ1404-44-44-44-4-2−4i4i4i−4i000000002-2-22-2222i−2i−2i2i0000000000000000000000000000000000000000-44-44-44-4424i−4i−4i4i00000000-222-22-2-2−2i2i2i−2i0000000000000000000000000000000000000000
χ1414-4-44-4-444-2000000004-44-422-2-222-200000000-22-2200000000000000000000000000000000-444-444-4-4200000000-44-44-2-222-2-22000000002-22-200000000000000000000000000000000
χ1424-4-44-4-444-200000000-44-4422-2-222-2000000002-22-200000000000000000000000000000000-444-444-4-42000000004-44-4-2-222-2-2200000000-22-2200000000000000000000000000000000
χ1434-4-4-444-44-2000000004-4-44222-2-2-2200000000-222-200000000000000000000000000000000-4444-4-44-4200000000-444-4-2-2-2222-2000000002-2-2200000000000000000000000000000000
χ1444-4-4-444-44-200000000-444-4222-2-2-22000000002-2-2200000000000000000000000000000000-4444-4-44-42000000004-4-44-2-2-2222-200000000-222-200000000000000000000000000000000

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