Finite Group Databasebeta

← Group #10732012

Character table — Group #10732012

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111111111112222222222222222444444444444666666668888888888888888888888888888888888881212121212121212121212122424242424242424
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
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χ1024-44-44-4444-4-4-4-44-44-22-222-22-222-22-2-22-200000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1034-4-444-4-4-44-4-444-444-222-22-222-2-22-22-22-2000000004-4-440000000000000000000000000000000000000000-222-200000000000000000000
χ1044-4-444-4-4-44-4-444-444-222-22-222-2-22-22-22-200000000-444-400000000000000000000000000000000000000002-2-2200000000000000000000
χ1054-4-4-4-4444-4-44-44-444-2222-22-2-22-22-2-222-200004-4-440000000000000000000000000000000000000000-222-2000000000000000000000000
χ1064-4-4-4-4444-4-44-44-444-2222-22-2-22-22-2-222-20000-444-400000000000000000000000000000000000000002-2-22000000000000000000000000
χ1074-4-4-4-4-4-444444-444-4-2222-2222-22-2-2-2-2-224-4-440000000000000000000000000000-222-20000000000000000000000000000000000000000
χ1084-4-4-4-4-4-444444-444-4-2222-2222-22-2-2-2-2-22-444-400000000000000000000000000002-2-220000000000000000000000000000000000000000

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