Finite Group Databasebeta

← Group #611069

Character table — Group #611069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111111111111111111111444444444444444444444444888888888888888888888888888888888888888888888888
order12222222222222224444444444444444222244444444444444444444222222444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ1111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1211111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ181111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111
χ191111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1
χ201111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1111111
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1
χ221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111
χ231111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1
χ241111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111
χ3322222-2-2-2-222-2-2-2-2222222222-2-2-2-2-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000
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χ43222-2-222-2-2-2-222-2-222222-2-2-2-22222-2-2-2-2-2-2220000000000000000-2-2220000002i−2i2i−2i000000000000−2i2i−2i2i0000000000000000000000
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χ48222-2-222-2-2-2-222-2-22-2-2-2-22222-2-2-2-22222-2-222000000000000000022-2-2000000−2i2i2i−2i0000000000002i−2i−2i2i0000000000000000000000
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χ652-2-222-2-2-2-2-2-2222222-2-22-222-22-2-22-222-22-22-200000000000000002-22-200002-20000000000002-22-20000000000000000000000002-2
χ662-2-222-2-2-2-2-2-2222222-2-22-222-22-2-22-222-22-22-200000000000000002-22-20000-22000000000000-22-22000000000000000000000000-22
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χ9444-4-444-4-44-444-4-44-4−4i−4i4i4i4i4i−4i−4i−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-444-4-44-444-4-44i4i−4i−4i−4i−4i4i4i−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-444-4-44-444-4-4−4i−4i4i4i4i4i−4i−4i4i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ974-444-44-44-4-44-44-44-44i−4i4i−4i−4i4i−4i4i−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ984-444-44-44-4-44-44-44-4−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ994-444-4-44-44-444-44-4-44i−4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-444-4-44-44-444-44-4-4−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-44-444-4-444-4-444-4-44i−4i4i−4i4i−4i4i−4i−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-444-4-444-4-444-4-4−4i4i−4i4i−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4444444-4-4-4-4-4-444-4-44-444-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4444444-4-4-4-4-4-44-444-44-4-444-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000

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