Finite Group Databasebeta

← Group #72271643

Character table — Group #72271643

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222222224444444444444444448888888888881616161616161616161616161616161616161616161616161616161616161616161616162424242424242424484848484848484848484848
order122223444461212444466688888888121212121212122424242424242424224444666688121212121212121216161616242424244848484848484848244488882244448816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-11-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-11-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ51111111111111111111111111111111111111111111-11-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ61111111111111111111111111111111111111111111-11-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1
χ101111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ111111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-1111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111
χ121111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-1111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1
χ131111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111-11-1111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111
χ141111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111-11-1111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1
χ151111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ161111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111
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χ2522222-12222-1-1-1-2-2-2-2-1-1-1-2-2-2-22222-1-1-11111-1-11111-1-12222-2-2-1-1-1-1-2-2-1-1-1-1111122-2-21111-1-1-1-1111100000000000000000000
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χ32222-2-22-222-22-2-22i2i−2i−2i2-2-2−2i−2i2i2i-22-2222-22i2i−2i−2i-22−2i−2i2i2i-220-2020000-2-2−2i2i002200000000−2i−2i2i2i0000000000000000000000000000
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χ42222-2-2-1-222-2-111−2i−2i2i2i-1112i2i−2i−2i-22-22-1-11ii−i−i1-1−i−iii1-1020-200i3−i3-1-1−2i2ii3−i31133−3−30000ii−i−ii3i3−i3−i333−3−300000000000000000000
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χ4522-22-2222-2-22222i−2i2i−2i-22-22i−2i2i−2i2-2-22-22-22i−2i2i−2i-222i−2i2i−2i2-200000000000000000000000000000000000000000000000000002i−2i2-2
χ4622-22-2222-2-22222i−2i2i−2i-22-22i−2i2i−2i2-2-22-22-22i−2i2i−2i-222i−2i2i−2i2-20000000000000000000000000000000000000000000000000000−2i2i-22
χ4722-22-2222-2-22222i−2i2i−2i-22-2−2i2i−2i2i-222-2-22-22i−2i2i−2i2-2−2i2i−2i2i-22000000000000000000002-22i−2i00002-22-22i−2i2i−2i00000000000000000000
χ4822-22-2222-2-22222i−2i2i−2i-22-2−2i2i−2i2i-222-2-22-22i−2i2i−2i2-2−2i2i−2i2i-2200000000000000000000-22−2i2i0000-22-22−2i2i−2i2i00000000000000000000
χ4922-22-2222-2-2222−2i2i−2i2i-22-22i−2i2i−2i-222-2-22-2−2i2i−2i2i2-22i−2i2i−2i-22000000000000000000002-2−2i2i00002-22-2−2i2i−2i2i00000000000000000000
χ5022-22-2222-2-2222−2i2i−2i2i-22-22i−2i2i−2i-222-2-22-2−2i2i−2i2i2-22i−2i2i−2i-2200000000000000000000-222i−2i0000-22-222i−2i2i−2i00000000000000000000
χ5122-22-2222-2-2222−2i2i−2i2i-22-2−2i2i−2i2i2-2-22-22-2−2i2i−2i2i-22−2i2i−2i2i2-200000000000000000000000000000000000000000000000000002i−2i-22
χ5222-22-2222-2-2222−2i2i−2i2i-22-2−2i2i−2i2i2-2-22-22-2−2i2i−2i2i-22−2i2i−2i2i2-20000000000000000000000000000000000000000000000000000−2i2i2-2
χ5322-22-2-122-2-2-1-1-12i−2i2i−2i1-11−2i2i−2i2i-222-21-11−ii−ii-11i−ii−i1-1000000−i3i3−i3i300i3−i3−i3i33−33−32-22i−2i3−33−3-11-11−ii−ii00000000000000000000
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Here i is the imaginary unit (i² = −1).