Finite Group Databasebeta

← Group #4929338

Character table — Group #4929338

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111111111222222224444444444444444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222224444444422224444444444444444444444444444444444444444444444444444224444444444444424444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-11-11-1-1
χ411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-11-111
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-111-11
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-111-1-11-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-111-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11-1-111-1-11
χ9111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11
χ10111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1
χ11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-111-1-11-1
χ12111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-111-11
χ13111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-11-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-11-11-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ171111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-11-11-1
χ181111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-111-11-11
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-11
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-1
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-11111-1-1-1
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1-1-1111
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111-1-111-1-111-1-111-1-1-11-11-1-111
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-111-1-111-1-1111-11-111-1-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-11-11-111-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-1-111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1-1-1111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-11111-1-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-11111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1111-1-1-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-11-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-11-11-1
χ3322222-2-2-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i000022-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000000022-2-22i2i−2i−2i000022-2-2000000000000000000000000
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χ3622222-2-2-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i0000-2-222000000000000−2i−2i2i2i−2i−2i2i2i00000000000022-2-22i2i−2i−2i0000-2-222000000000000000000000000
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χ3822222-2-2-2-2-2-222-2-22−2i−2i−2i−2i2i2i2i2i000022-2-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000022-2-2−2i−2i2i2i000022-2-2000000000000000000000000
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χ5822-22-22-222-2-22-22-2-22-22-22-22-200002-22-2−2i2i−2i2i0000−2i2i−2i2i00002-22-200000000−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000000000
χ5922-22-22-222-2-22-22-2-22-22-22-22-20000-22-222i−2i2i−2i0000−2i2i−2i2i0000-22-22000000002i−2i2i−2i00000000−2i2i−2i2i0000000000000000000000000000
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χ6322-22-22-222-2-22-22-2-2-22-22-22-220000-22-222i−2i2i−2i00002i−2i2i−2i00002-22-200000000−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000000000
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χ6522-22-2-22-2-2222-2-22-22i−2i2i−2i−2i2i−2i2i2-22-22-2-2200002i−2i2i−2i000000002i−2i−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000000000000000
χ6622-22-2-22-2-2222-2-22-22i−2i2i−2i−2i2i−2i2i2-22-2-222-200002i−2i2i−2i00000000−2i2i2i−2i-22-22−2i2i−2i2i00000000000000000000000000000000000000000000
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χ7122-22-2-22-2-2222-2-22-2−2i2i−2i2i2i−2i2i−2i-22-222-2-2200002i−2i2i−2i00000000−2i2i2i−2i-22-222i−2i2i−2i00000000000000000000000000000000000000000000
χ7222-22-2-22-2-2222-2-22-2−2i2i−2i2i2i−2i2i−2i-22-22-222-200002i−2i2i−2i000000002i−2i−2i2i2-22-2−2i2i−2i2i00000000000000000000000000000000000000000000
χ7322-2-222-2-2-222-222-2-22i−2i−2i2i2i−2i−2i2i000000002-2-22000000002-22-200002i−2i−2i2i-222-2−2i2i2i−2i0000000000002i−2i2i−2i000000000000000000000000
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χ8122-2-22-2222-2-2-22-22-22-2-22-222-22-2-22000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
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χ8322-2-22-2222-2-2-22-22-22-2-22-222-2-222-200000000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ8422-2-22-2222-2-2-22-22-22-2-22-222-2-222-200000000-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ8522-2-22-2222-2-2-22-22-2-222-22-2-222-2-2200000000-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ8622-2-22-2222-2-2-22-22-2-222-22-2-222-2-2200000000-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ8722-2-22-2222-2-2-22-22-2-222-22-2-22-222-2000000002-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ8822-2-22-2222-2-2-22-22-2-222-22-2-22-222-2000000002-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ894-4444444-44-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000004-40000000000000000000000
χ904-4444444-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000-440000000000000000000000
χ914-4444-4-4-44-44-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000004i−4i000000000000
χ924-4444-4-4-44-44-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000−4i4i000000000000
χ934-44-4-444-44-4444-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000
χ944-44-4-444-44-4444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000
χ954-44-4-4-4-44-44-44444-40000000000000000000000000000000000000000000000000000000000000000004-400000000000000000000
χ964-44-4-4-4-44-44-44444-4000000000000000000000000000000000000000000000000000000000000000000-4400000000000000000000
χ974-4-44-44-44-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000004-400000000
χ984-4-44-44-44-4-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000-4400000000
χ994-4-44-4-44-444-4-444-440000000000000000000000000000000000000000000000000000000000000000000000004-400000000000000
χ1004-4-44-4-44-444-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000-4400000000000000
χ1014-4-4-444-4-444-44-4-44400000000000000000000000000000000000000000000000000000000000000000000004-40000000000000000
χ1024-4-4-444-4-444-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000-440000000000000000
χ1034-4-4-44-444-4-444-44-44000000000000000000000000000000000000000000000000000000000000000000004-4000000000000000000
χ1044-4-4-44-444-4-444-44-4400000000000000000000000000000000000000000000000000000000000000000000-44000000000000000000

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