Finite Group Databasebeta

← Group #72220573

Character table — Group #72220573

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
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χ4222222222222222222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1000000000000222222222222222222-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1000000000000
χ5222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1000000000000222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1000000000000
χ6222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000000222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000000
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χ34999-3-3-3-3-3-39111-3-3111000000000000000000001-1-1111-1-1-1-111999-3-3-3-3-3-39111-3-3111000000000000000000001-1-1111-1-1-1-111
χ35999-3-3-3-3-3-39111-3-311100000000000000000000-111-1-1-11111-1-1999-3-3-3-3-3-39111-3-311100000000000000000000-111-1-1-11111-1-1
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χ409−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i3201−1+i32−1−i32004−2+2i3−2−2i3000000000000000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i329−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i3201−1+i32−1−i32004−2+2i3−2−2i3000000000000000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
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χ429−9−9i32−9+9i329-3−9−9i32−9+9i323+3i323−3i320-33+3i323−3i32000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i329−9−9i32−9+9i329-3−9−9i32−9+9i323+3i323−3i320-33+3i323−3i32000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
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χ449−9−9i32−9+9i32-393+3i323−3i32−9−9i32−9+9i320-33+3i323−3i3200000000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i329−9−9i32−9+9i32-393+3i323−3i32−9−9i32−9+9i320-33+3i323−3i3200000000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
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χ5211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ53222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-211111111000000000000
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χ663333-133-1-13-1-1-13-1-1-1-1000333000000-1-1-10000011-1-11111-1-1-1-1-3-3-3-31-3-311-3111-31111000-3-3-300000011100000-1-111-1-1-1-11111
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Here i is the imaginary unit (i² = −1).