Finite Group Databasebeta

← Group #760187

Character table — Group #760187

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222222222222222222244444444444444444444444444444444222222224444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1
χ171111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1
χ181111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ191111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1
χ201111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111111111
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1111111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-111111111
χ3322222-22-2-2-2-2-2-222-22222-2-2-2-22222-2-2-2-2000000000000000022-2-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ3422222-22-2-2-2-2-2-222-22222-2-2-2-22222-2-2-2-2000000000000000022-2-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ3522222-22-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-222220000000000000000-2-22200000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ3622222-22-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-222220000000000000000-2-2220000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ3722222-22-2-2-2-2-2-222-2-2-2-2-222222222-2-2-2-20000000000000000-2-22200000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ3822222-22-2-2-2-2-2-222-2-2-2-2-222222222-2-2-2-20000000000000000-2-2220000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ3922222-22-2-2-2-2-2-222-2-2-2-2-22222-2-2-2-22222000000000000000022-2-200000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ4022222-22-2-2-2-2-2-222-2-2-2-2-22222-2-2-2-22222000000000000000022-2-20000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ41222-2-22-2222-2-2-22-2-222-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i0000000000002i2i−2i−2i0000002-20000002i−2i000000000000000000000000002-2002i−2i
χ42222-2-22-2222-2-2-22-2-222-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i0000000000002i2i−2i−2i000000-22000000−2i2i00000000000000000000000000-2200−2i2i
χ43222-2-22-2222-2-2-22-2-222-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i000000000000−2i−2i2i2i0000002-2000000−2i2i000000000000000000000000002-200−2i2i
χ44222-2-22-2222-2-2-22-2-222-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i000000000000−2i−2i2i2i000000-220000002i−2i00000000000000000000000000-22002i−2i
χ45222-2-22-2222-2-2-22-2-2-2-222-2-222000000002i2i2i2i−2i−2i−2i−2i000000000000−2i−2i2i2i0000002-2000000−2i2i00000000000000000000000000-22002i−2i
χ46222-2-22-2222-2-2-22-2-2-2-222-2-222000000002i2i2i2i−2i−2i−2i−2i000000000000−2i−2i2i2i000000-220000002i−2i000000000000000000000000002-200−2i2i
χ47222-2-22-2222-2-2-22-2-2-2-222-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000000002i2i−2i−2i0000002-20000002i−2i00000000000000000000000000-2200−2i2i
χ48222-2-22-2222-2-2-22-2-2-2-222-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000000002i2i−2i−2i000000-22000000−2i2i000000000000000000000000002-2002i−2i
χ4922-22-2-2222-222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-2000000000000002-20000002-200000000000000000000002i−2i002i−2i00000000
χ5022-22-2-2222-222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-200000000000000-22000000-220000000000000000000000−2i2i00−2i2i00000000
χ5122-22-2-2222-222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-222000000000000002-2000000-2200000000000000000000002i−2i00−2i2i00000000
χ5222-22-2-2222-222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-22200000000000000-220000002-20000000000000000000000−2i2i002i−2i00000000
χ5322-22-2-2222-222-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-222000000000000002-2000000-220000000000000000000000−2i2i002i−2i00000000
χ5422-22-2-2222-222-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-22200000000000000-220000002-200000000000000000000002i−2i00−2i2i00000000
χ5522-22-2-2222-222-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002-20000002-20000000000000000000000−2i2i00−2i2i00000000
χ5622-22-2-2222-222-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-200000000000000-22000000-2200000000000000000000002i−2i002i−2i00000000
χ572-22-22-222-222-22-2-2-2000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-20000000000002-20000002-200000000000000000000002i−2i002i−2i0000000000
χ582-22-22-222-222-22-2-2-2000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-2000000000000-22000000-220000000000000000000000−2i2i00−2i2i0000000000
χ592-22-22-222-222-22-2-2-2000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-22-220000000000002-2000000-2200000000000000000000002i−2i00−2i2i0000000000
χ602-22-22-222-222-22-2-2-2000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-22-22000000000000-220000002-20000000000000000000000−2i2i002i−2i0000000000
χ612-22-22-222-222-22-2-2-200000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-22-220000000000002-2000000-220000000000000000000000−2i2i002i−2i0000000000
χ622-22-22-222-222-22-2-2-200000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-22-22000000000000-220000002-200000000000000000000002i−2i00−2i2i0000000000
χ632-22-22-222-222-22-2-2-200000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-20000000000002-20000002-20000000000000000000000−2i2i00−2i2i0000000000
χ642-22-22-222-222-22-2-2-200000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-2000000000000-22000000-2200000000000000000000002i−2i002i−2i0000000000
χ652-2-2222-22-2-2-2222-2-22-22-22-22-2000000002i−2i−2i2i−2i2i2i−2i0000000000002i−2i2i−2i00002-20000002i−2i000000000000000000000000002-2002i−2i00
χ662-2-2222-22-2-2-2222-2-22-22-22-22-2000000002i−2i−2i2i−2i2i2i−2i0000000000002i−2i2i−2i0000-22000000−2i2i00000000000000000000000000-2200−2i2i00
χ672-2-2222-22-2-2-2222-2-22-22-22-22-200000000−2i2i2i−2i2i−2i−2i2i000000000000−2i2i−2i2i00002-2000000−2i2i000000000000000000000000002-200−2i2i00
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χ974-444-44-4-44-44-44-44-400000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ984-444-44-4-44-44-44-44-40000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ994-444-4-4-44-44-44-4-44400000000000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ1004-444-4-4-44-44-44-4-4440000000000000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000
χ1014-44-4444-44-4-44-4-4-44000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-4444-44-4-44-4-4-4400000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-4-4-4444-4-44-444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-444-4-4-4444-4-44-44-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000

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