Finite Group Databasebeta

← Group #6526932

Character table — Group #6526932

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222244444444444444444444444444444444444444444444444444444488888888161616161616161616161616
order12222222444444444444444422444444444444444444448888888888888888888888888888888822444444244444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-111-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1
χ91111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-11-1-11-1
χ101111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-11-111-11
χ111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-11-111-11-11
χ121111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-111-11-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-111-1-11-11-1-11
χ141111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-111-11-111-1
χ151111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1111-1
χ161111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-11
χ17111111111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ18111111111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-111-1
χ19111111111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11-1-11-1111-1
χ20111111111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-111-11-1-1-11
χ21111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-11-111-1-11-1
χ22111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11-11-11-1-111-11
χ23111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-11-11-11-11
χ24111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-11-11-11-1
χ25111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-111-1-11-1-1
χ26111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-111
χ27111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11111-1-1-1-1-111
χ28111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1
χ29111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111111
χ30111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1
χ31111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1111111-1-1-1
χ32111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1-1-1111
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χ3622222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-222220000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
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χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-22222-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-222-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000
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χ54222-2-2-2-220−2i−2i2i2i−2i−2i2i2i22-2-200000002i−2i00-2200-22002i−2i0000−2−222i2i2−i2−i2i2i2−i2−i2−2−222−i2−i2i2i222−2−222−2−2−i2−i2i2i200000000000000000000
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χ56222-2-2-2-220−2i−2i2i2i−2i−2i2i2i22-2-20000000−2i2i002-2002-200−2i2i0000−2−222i2i2−i2−i2i2i2−i2−i2−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i200000000000000000000
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χ822-2-2-2-2222-22-2-222-2-222-2-2222-2-220000000000000000-22-22-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ832-2-2-2-2222-22-2-22-222-2-222-222-2-2200000000000000002-22-22-2-222-2-22-222-2-222-2000000000000000000000000000000000000
χ842-2-2-2-2222-22-2-22-222-2-222-222-2-2200000000000000002-22-2-222-2-222-22-2-222-2-22000000000000000000000000000000000000
χ852-2-2-2-2222-2-222-22-2-22-222-222-22-200000000000000002-2-222-2-22-222-22-2-22-222-2000000000000000000000000000000000000
χ862-2-2-2-2222-2-222-22-2-22-222-222-22-200000000000000002-2-22-222-22-2-22-222-22-2-22000000000000000000000000000000000000
χ872-2-2-2-2222-2-222-2-222-22-2-2222-22-20000000000000000-222-22-2-22-222-2-222-22-2-22000000000000000000000000000000000000
χ882-2-2-2-2222-2-222-2-222-22-2-2222-22-20000000000000000-222-2-222-22-2-222-2-22-222-2000000000000000000000000000000000000
χ8944-44-44-4-440000000000004-4-40000000000000000000000000000000000000000000000000000004-4000000000000000000
χ9044-44-44-4-440000000000004-4-4000000000000000000000000000000000000000000000000000000-44000000000000000000
χ9144-44-44-4-4-4000000000000-44400000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ9244-44-44-4-4-4000000000000-4440000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ934-44-444-4-44000000000000-44-4000000000000000000000000000000000000000000000000000000004-40000000000000000
χ944-44-444-4-44000000000000-44-400000000000000000000000000000000000000000000000000000000-440000000000000000
χ954-44-444-4-4-40000000000004-440000000000000000000000000000000000000000000000000000000000004i−4i000000000000
χ964-44-444-4-4-40000000000004-44000000000000000000000000000000000000000000000000000000000000−4i4i000000000000
χ9788-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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