Finite Group Databasebeta

← Group #10751709

Character table — Group #10751709

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111111111111222222222222222244444444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
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χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
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χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
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χ954-444-444-4-444-4-4-44-4-22-22-22-22-22-22-22-220000000000000000000000000000−2323−232323−2323−230000000000000000000000000000000000000000
χ964-444-44-4-44-4-44-44-444-44-44-444-4-4-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-444-44-4-44-4-44-44-44-22-22-22-2-2222-22-22-20000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000
χ984-444-44-4-44-4-44-44-44-22-22-22-2-2222-22-22-200000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000000000
χ994-44-44-44-44-44-44-4-444-444-44-4-44-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-44-44-44-4-44-22-2-22-222-222-22-2-2200000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1014-44-44-44-44-44-44-4-44-22-2-22-222-222-22-2-22000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1024-4-444-44444-4-4-44-4-44-4-4-444-4444-444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-44444-4-4-44-4-4-2222-2-22-2-2-22-2-22220000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000000000
χ1044-4-444-44444-4-4-44-4-4-2222-2-22-2-2-22-2-222200000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000000000
χ1054-4-444-4-44-4-444-4-444-2222-2-2222-2-222-2-2-2000000004-44-40000000000000000-222-22-2-220000000000000000000000000000000000000000
χ1064-4-444-4-44-4-444-4-444-2222-2-2222-2-222-2-2-200000000-44-4400000000000000002-2-22-222-20000000000000000000000000000000000000000
χ1074-4-4-4-44-4444444-4-4-4-222-222-222-22-2-22-2-24-4-4400000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-44-4444444-4-4-4-222-222-222-22-2-22-2-2-444-4000000002-2-22-222-200000000000000000000000000000000000000000000000000000000

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