Finite Group Databasebeta

← Group #4306708

Character table — Group #4306708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111111111111112222222222222222222222224444444444444444444444444444888888888888888888888888888888888888888888
order12222222222222222222222244444444444444444444444444444444444444444444224444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-11111
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-1
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-1-11111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111111-1-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1
χ332222222-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000022-2-2000000000000000000002-22-20000002-2000000000000000000000000000000
χ342222222-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000-2-22200000000000000000000-22-22000000-22000000000000000000000000000000
χ352222222-2-2-22-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000022-2-200000000000000000000-22-220000002-2000000000000000000000000000000
χ362222222-2-2-22-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000-2-222000000000000000000002-22-2000000-22000000000000000000000000000000
χ372222222-2-2-22-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000022-2-200000000000000000000-222-2000000-22000000000000000000000000000000
χ382222222-2-2-22-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000-2-222000000000000000000002-2-220000002-2000000000000000000000000000000
χ392222222-2-2-22-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000022-2-2000000000000000000002-2-22000000-22000000000000000000000000000000
χ402222222-2-2-22-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000-2-22200000000000000000000-222-20000002-2000000000000000000000000000000
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χ6322-22-2-22-22-2-2-2222-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000002-22-20000000000000000002i−2i00000000-22−2i2i0000000000000000000000
χ6422-22-2-22-22-2-2-2222-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000-22-22000000000000000000−2i2i000000002-22i−2i0000000000000000000000
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χ722-22-22-222-2-2-22-222-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000-22-2200000000000000000000−2i2i0000002-22i−2i00000000000000000000000000
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χ772-22-22-22-222-2-22-2-22-22-222-22-22i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000002-22-2000000000000000000000000000000002i−2i−2i2i0000-22
χ782-22-22-22-222-2-22-2-22-22-222-22-22i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000-22-2200000000000000000000000000000000−2i2i2i−2i00002-2
χ792-22-22-22-222-2-22-2-22-22-222-22-2−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000002-22-200000000000000000000000000000000−2i2i2i−2i0000-22
χ802-22-22-22-222-2-22-2-22-22-222-22-2−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000-22-22000000000000000000000000000000002i−2i−2i2i00002-2
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χ832-2-2-2-22222-2222-2-2-22-2-222-2-22-222-2-222-2-222-2-222-22i−2i2i−2i000000000000000000000000000000002i−2i0000000000−2i2i−2i2i000000000000000000
χ842-2-2-2-22222-2222-2-2-22-2-222-2-22-222-2-222-2-222-2-222-2−2i2i−2i2i00000000000000000000000000000000−2i2i00000000002i−2i2i−2i000000000000000000
χ852-2-2-2-22222-2222-2-2-2-222-2-222-22-2-222-2-22-222-2-222-22i−2i2i−2i00000000000000000000000000000000−2i2i00000000002i−2i−2i2i000000000000000000
χ862-2-2-2-22222-2222-2-2-2-222-2-222-22-2-222-2-22-222-2-222-2−2i2i−2i2i000000000000000000000000000000002i−2i0000000000−2i2i2i−2i000000000000000000
χ872-2-2-2-22222-2222-2-2-2-222-2-222-2-222-2-222-22-2-222-2-222i−2i2i−2i00000000000000000000000000000000−2i2i0000000000−2i2i2i−2i000000000000000000
χ882-2-2-2-22222-2222-2-2-2-222-2-222-2-222-2-222-22-2-222-2-22−2i2i−2i2i000000000000000000000000000000002i−2i00000000002i−2i−2i2i000000000000000000
χ892-2-2-2-222-2-222-2-22222-2-22-222-22-2-22-222-22-2-22-222-200000000000000002-22-2000000000000000000000000000000002-22-2000000002-20000
χ902-2-2-2-222-2-222-2-22222-2-22-222-22-2-22-222-22-2-22-222-20000000000000000-22-2200000000000000000000000000000000-22-2200000000-220000
χ912-2-2-2-222-2-222-2-22222-2-22-222-2-222-22-2-22-222-22-2-2200000000000000002-22-200000000000000000000000000000000-22-22000000002-20000
χ922-2-2-2-222-2-222-2-22222-2-22-222-2-222-22-2-22-222-22-2-220000000000000000-22-22000000000000000000000000000000002-22-200000000-220000
χ932-2-2-2-222-2-222-2-2222-222-22-2-222-2-22-222-2-222-22-2-2200000000000000002-22-2000000000000000000000000000000002-2-2200000000-220000
χ942-2-2-2-222-2-222-2-2222-222-22-2-222-2-22-222-2-222-22-2-220000000000000000-22-2200000000000000000000000000000000-222-2000000002-20000
χ952-2-2-2-222-2-222-2-2222-222-22-2-22-222-22-2-222-2-22-222-200000000000000002-22-200000000000000000000000000000000-222-200000000-220000
χ962-2-2-2-222-2-222-2-2222-222-22-2-22-222-22-2-222-2-22-222-20000000000000000-22-22000000000000000000000000000000002-2-22000000002-20000
χ97444-4-44-4-4-44-444-44-400000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ98444-4-44-4-4-44-444-44-40000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ9944-4-44-4-44-4-44-44-444000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
χ10044-4-44-4-44-4-44-44-44400000000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000
χ10144-4-44-4-4-44444-44-4-40000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ10244-4-44-4-4-44444-44-4-4000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ1034-444-4-4-44-444-444-4-4000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ1044-444-4-4-44-444-444-4-400000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ1054-444-4-4-4-44-444-4-4440000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ1064-444-4-4-4-44-444-4-444000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000
χ1074-4-4444-4444-4-4-4-44-40000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-4444-4444-4-4-4-44-4000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4444-4-4-4-4-4444-4400000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ1104-4-4444-4-4-4-4-4444-440000000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000

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