Finite Group Databasebeta

← Group #11864607

Character table — Group #11864607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121224666666666612121212121212121212222222448888242424242424242466666688121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111111111-1-1
χ91111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-1-1-111-1-11-11-11-1
χ101111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11-11111-1-1-11-11-11
χ111111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-11-1-1-1-111-11-11-11
χ121111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1111-1-1111-11-11-1
χ131111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-11-1-1-1-1111-11-1-11
χ141111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1111-1-111-11-111-1
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χ161111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-11111-1-11-11-1-11
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χ954-4-4400-2400002-2-44-42−232323−23-200002-220000−232323−230000000000000000000000000000000022−2200−222−2−666−600000000000000000000
χ964-4-4400-2400002-2-44-42−232323−23-200002-220000−232323−2300000000000000000000000000000000−2222002−2−226−6−6600000000000000000000
χ9788-8-8008-400008-8-444-80000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−43200002-2-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−4343200002-2-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-884-44-80000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44-44443−43−434320000-22-20000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44-444−434343−4320000-22-2000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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