Finite Group Databasebeta

← Group #72274997

Character table — Group #72274997

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111-1-11111111111111111111-1-1111-1111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1
χ411111111111111111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111-1-1-1
χ5111-11-111-1-11-11-11-1-11111-1-11111-1-1-1111-1-1-1111-111-1-1-11-1-111-1-111111111-111-1-1-11-1-11111-1-1-1-111-11-11-1-111-1-111-1-1111-1-111-1-11-1-1
χ6111-11-111-1-11-11-11-1-11111-1-1-1-111-1-1-1111-1-1-1111-1-1-11-11-11111-1-1-1-111-1-1-1-11-1-1111-111-1-1-1-1111111-11-1-11111-1-1-1-111111-1-1-1-1111-1-1
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χ1111-111-11-11-1-111-1-11-1-1-11-11-1111-11-1-11-1-111-1111-11-111-1-11-11-11-11111-1-11-111-11-1-1-11-111-1-111-1-11-111-11-11-11-11-11-11-1-1-11-1-11-111-11
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χ8466-6-6666-6-6622-2-222200-2-2-2-2-2-222222-2-2-2-2-2-222002-2-20222-2-222-2-2-200002-2-20000222-2000000000000000000000000000000000000
χ8566-6-6666-6-6622-2-2-2-2-200222200-222-2-2-22222-2-2-200000000002-2-22000022000000000000000000000000-2-220000-222-2000000000000
χ8666-6-6666-6-6622-2-2-2-2-200222200-222-2-2-22222-2-2-200000000002-2-220000-2-200000000000000000000000022-200002-2-22000000000000
χ8766-6-6-36-333-322-2-222200-2-2-2-2222-1-1−1+2i3−1−2i311−2i31+2i31−2i31+2i31−1+2i3−1−2i300-2220-2-2-221-1-11-1-100001-1-10000111-1i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ8866-6-6-36-333-322-2-222200-2-2-2-2222-1-1−1−2i3−1+2i311+2i31−2i31+2i31−2i31−1−2i3−1+2i300-2220-2-2-221-1-11-1-100001-1-10000111-1−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ8966-6-6-36-333-322-2-222200-2-2-2-2-2-22-1-1−1+2i3−1−2i311−2i31+2i31−2i31+2i31−1+2i3−1−2i3002-2-20222-21-1-11110000-1110000-1-1-11−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ9066-6-6-36-333-322-2-222200-2-2-2-2-2-22-1-1−1−2i3−1+2i311+2i31−2i31+2i31−2i31−1−2i3−1+2i3002-2-20222-21-1-11110000-1110000-1-1-11i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ9166-6-6-36-333-3-6-66622-200-222-222-23311-3-1-1-1-1-311002-2-202-2-221-1-11-1-10000-111-222-2-111-111-1-1-1-1110000000000000000000000000000
χ9266-6-6-36-333-3-6-66622-200-222-2-2-2-23311-3-1-1-1-1-31100-2220-222-21-1-111100001-1-12-2-221-1-11-1-11111-1-10000000000000000000000000000
χ938-80080-800000000004-400004-40000000000000000000000000004-42-24-40000000000000000000200-20000000000002-20000000000
χ948-80080-800000000004-40000-44000000000000000000000000000-442-2-440000000000000000000200-20000000000002-20000000000
χ958-80080-80000000000-4400004-40000000000000000000000000004-42-2-440000000000000000000200-2000000000000-220000000000
χ968-80080-80000000000-440000-44000000000000000000000000000-442-24-40000000000000000000200-2000000000000-220000000000
χ9712121212-612-6-6-6-6-4-4-4-444-4004-4-4400-42222222222220000000000-2-2-2-200000000000000000000000000000000000000000000000000000
χ98121212-12-6-12-6-666-44-444-44004-44-400-42-2-2-2222-2-2-2220000000000-2-22200000000000000000000000000000000000000000000000000000
χ991212-1212-6-12-66-664-4-44-4440044-4-400-4-22-2-22-2-222-2220000000000-22-2200000000000000000000000000000000000000000000000000000
χ1001212-12-12-612-666-644-4-4-4-4-400444400-4-2-2222-2-2-2-22220000000000-222-200000000000000000000000000000000000000000000000000000
χ10116-1600160-1600000000008-800000000000000000000000000000000000-22000000000000000000000-2002000000000000-220000000000
χ10216-1600160-160000000000-8800000000000000000000000000000000000-22000000000000000000000-20020000000000002-20000000000
χ10316-1600-80800000000000000008-8000000000000000000000000000-444-4000000000000000000000-2002000000000000000000000000
χ10416-1600-8080000000000000000-880000000000000000000000000004-44-4000000000000000000000-2002000000000000000000000000
χ10532-3200-1601600000000000000000000000000000000000000000000000-44000000000000000000000200-2000000000000000000000000

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