Finite Group Databasebeta

← Group #611978

Character table — Group #611978

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222224444444444444444444444444444444444442222222222222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ1722222-2222-2-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000022222-2222-2-2-2-2-2-2-222-2-222-2-222-2-2000000000000000000000000
χ1822222-2222-2-2-2-2-2-2-222-2-2-2-222-2-22200000000000000000000000022222-2222-2-2-2-2-2-2-222-2-2-2-222-2-222000000000000000000000000
χ1922222-2222-2-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000022222-2222-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ2022222-2222-2-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000000022222-2222-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ21222-2-222-2-22-2-22-2-22000000002i−2i2i−2i00000000002i−2i2-20000000000222-2-222-2-22-2-22-2-22000000002i−2i2i−2i00000000002i−2i2-20000000000
χ22222-2-222-2-22-2-22-2-22000000002i−2i2i−2i0000000000−2i2i-220000000000222-2-222-2-22-2-22-2-22000000002i−2i2i−2i0000000000−2i2i-220000000000
χ23222-2-222-2-22-2-22-2-2200000000−2i2i−2i2i00000000002i−2i-220000000000222-2-222-2-22-2-22-2-2200000000−2i2i−2i2i00000000002i−2i-220000000000
χ24222-2-222-2-22-2-22-2-2200000000−2i2i−2i2i0000000000−2i2i2-20000000000222-2-222-2-22-2-22-2-2200000000−2i2i−2i2i0000000000−2i2i2-20000000000
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χ3122-22-22-22-2-2-2-2222-2−2i2i−2i2i0000000000002i−2i00000000-220000000022-22-22-22-2-2-2-2222-2−2i2i−2i2i0000000000002i−2i00000000-2200000000
χ3222-22-22-22-2-2-2-2222-2−2i2i−2i2i000000000000−2i2i000000002-20000000022-22-22-22-2-2-2-2222-2−2i2i−2i2i000000000000−2i2i000000002-200000000
χ3322-22-2-2-22-2222-2-2-222i−2i−2i2i0000000000000000000000002i−2i00002-222-22-2-2-22-2222-2-2-222i−2i−2i2i0000000000000000000000002i−2i00002-2
χ3422-22-2-2-22-2222-2-2-222i−2i−2i2i000000000000000000000000−2i2i0000-2222-22-2-2-22-2222-2-2-222i−2i−2i2i000000000000000000000000−2i2i0000-22
χ3522-22-2-2-22-2222-2-2-22−2i2i2i−2i0000000000000000000000002i−2i0000-2222-22-2-2-22-2222-2-2-22−2i2i2i−2i0000000000000000000000002i−2i0000-22
χ3622-22-2-2-22-2222-2-2-22−2i2i2i−2i000000000000000000000000−2i2i00002-222-22-2-2-22-2222-2-2-22−2i2i2i−2i000000000000000000000000−2i2i00002-2
χ372-2-22222-2-2-22-2-22-2200002i−2i2i−2i00000000002i−2i00000000002-200002-2-22222-2-2-22-2-22-2200002i−2i2i−2i00000000002i−2i00000000002-20000
χ382-2-22222-2-2-22-2-22-2200002i−2i2i−2i0000000000−2i2i0000000000-2200002-2-22222-2-2-22-2-22-2200002i−2i2i−2i0000000000−2i2i0000000000-220000
χ392-2-22222-2-2-22-2-22-220000−2i2i−2i2i00000000002i−2i0000000000-2200002-2-22222-2-2-22-2-22-220000−2i2i−2i2i00000000002i−2i0000000000-220000
χ402-2-22222-2-2-22-2-22-220000−2i2i−2i2i0000000000−2i2i00000000002-200002-2-22222-2-2-22-2-22-220000−2i2i−2i2i0000000000−2i2i00000000002-20000
χ412-2-222-22-2-22-222-22-200002i−2i−2i2i00002-20000002i−2i000000000000002-2-222-22-2-22-222-22-200002i−2i−2i2i00002-20000002i−2i00000000000000
χ422-2-222-22-2-22-222-22-200002i−2i−2i2i0000-22000000−2i2i000000000000002-2-222-22-2-22-222-22-200002i−2i−2i2i0000-22000000−2i2i00000000000000
χ432-2-222-22-2-22-222-22-20000−2i2i2i−2i00002-2000000−2i2i000000000000002-2-222-22-2-22-222-22-20000−2i2i2i−2i00002-2000000−2i2i00000000000000
χ442-2-222-22-2-22-222-22-20000−2i2i2i−2i0000-220000002i−2i000000000000002-2-222-22-2-22-222-22-20000−2i2i2i−2i0000-220000002i−2i00000000000000
χ4544-4-444-4-44-4444-4-4-400000000000000000000000000000000000044-4-444-4-44-4444-4-4-4000000000000000000000000000000000000
χ4644-4-44-4-4-444-4-4-444400000000000000000000000000000000000044-4-44-4-4-444-4-4-4444000000000000000000000000000000000000
χ474-444-44-4-444-44-44-4-40000000000000000000000000000000000004-444-44-4-444-44-44-4-4000000000000000000000000000000000000
χ484-444-4-4-4-44-44-44-4440000000000000000000000000000000000004-444-4-4-4-44-44-44-444000000000000000000000000000000000000
χ494-44-444-44-444-4-4-44-40000000000000000000000000000000000004-44-444-44-444-4-4-44-4000000000000000000000000000000000000
χ504-44-44-4-44-4-4-4444-440000000000000000000000000000000000004-44-44-4-44-4-4-4444-44000000000000000000000000000000000000
χ514-4-4-4-44444-4-44-4-4440000000000000000000000000000000000004-4-4-4-44444-4-44-4-444000000000000000000000000000000000000
χ524-4-4-4-4-444444-444-4-40000000000000000000000000000000000004-4-4-4-4-444444-444-4-4000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111
χ551111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111
χ561111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111
χ5811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-111-1-111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-111
χ611111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111
χ621111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1
χ631111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ641111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ651111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111
χ671111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ681111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ6922222-2222-2-2-2-2-2-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-2-22-2-2-22222222-2-222-2-222-2-222000000000000000000000000
χ7022222-2222-2-2-2-2-2-2-222-2-2-2-222-2-222000000000000000000000000-2-2-2-2-22-2-2-22222222-2-22222-2-222-2-2000000000000000000000000
χ7122222-2222-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000-2-2-2-2-22-2-2-2222222222-2-2-2-22222-2-2000000000000000000000000
χ7222222-2222-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2-22-2-2-2222222222-2-222-2-2-2-222000000000000000000000000
χ73222-2-222-2-22-2-22-2-22000000002i−2i2i−2i00000000002i−2i2-20000000000-2-2-222-2-222-222-222-200000000−2i2i−2i2i0000000000−2i2i-220000000000
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χ8522-22-2-2-22-2222-2-2-222i−2i−2i2i0000000000000000000000002i−2i00002-2-2-22-2222-22-2-2-2222-2−2i2i2i−2i000000000000000000000000−2i2i0000-22
χ8622-22-2-2-22-2222-2-2-222i−2i−2i2i000000000000000000000000−2i2i0000-22-2-22-2222-22-2-2-2222-2−2i2i2i−2i0000000000000000000000002i−2i00002-2
χ8722-22-2-2-22-2222-2-2-22−2i2i2i−2i0000000000000000000000002i−2i0000-22-2-22-2222-22-2-2-2222-22i−2i−2i2i000000000000000000000000−2i2i00002-2
χ8822-22-2-2-22-2222-2-2-22−2i2i2i−2i000000000000000000000000−2i2i00002-2-2-22-2222-22-2-2-2222-22i−2i−2i2i0000000000000000000000002i−2i0000-22
χ892-2-22222-2-2-22-2-22-2200002i−2i2i−2i00000000002i−2i00000000002-20000-222-2-2-2-2222-222-22-20000−2i2i−2i2i0000000000−2i2i0000000000-220000
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χ912-2-22222-2-2-22-2-22-220000−2i2i−2i2i00000000002i−2i0000000000-220000-222-2-2-2-2222-222-22-200002i−2i2i−2i0000000000−2i2i00000000002-20000
χ922-2-22222-2-2-22-2-22-220000−2i2i−2i2i0000000000−2i2i00000000002-20000-222-2-2-2-2222-222-22-200002i−2i2i−2i00000000002i−2i0000000000-220000
χ932-2-222-22-2-22-222-22-200002i−2i−2i2i00002-20000002i−2i00000000000000-222-2-22-222-22-2-22-220000−2i2i2i−2i0000-22000000−2i2i00000000000000
χ942-2-222-22-2-22-222-22-200002i−2i−2i2i0000-22000000−2i2i00000000000000-222-2-22-222-22-2-22-220000−2i2i2i−2i00002-20000002i−2i00000000000000
χ952-2-222-22-2-22-222-22-20000−2i2i2i−2i00002-2000000−2i2i00000000000000-222-2-22-222-22-2-22-2200002i−2i−2i2i0000-220000002i−2i00000000000000
χ962-2-222-22-2-22-222-22-20000−2i2i2i−2i0000-220000002i−2i00000000000000-222-2-22-222-22-2-22-2200002i−2i−2i2i00002-2000000−2i2i00000000000000
χ9744-4-444-4-44-4444-4-4-4000000000000000000000000000000000000-4-444-4-444-44-4-4-4444000000000000000000000000000000000000
χ9844-4-44-4-4-444-4-4-4444000000000000000000000000000000000000-4-444-4444-4-4444-4-4-4000000000000000000000000000000000000
χ994-444-44-4-444-44-44-4-4000000000000000000000000000000000000-44-4-44-444-4-44-44-444000000000000000000000000000000000000
χ1004-444-4-4-4-44-44-44-444000000000000000000000000000000000000-44-4-44444-44-44-44-4-4000000000000000000000000000000000000
χ1014-44-444-44-444-4-4-44-4000000000000000000000000000000000000-44-44-4-44-44-4-4444-44000000000000000000000000000000000000
χ1024-44-44-4-44-4-4-4444-44000000000000000000000000000000000000-44-44-444-4444-4-4-44-4000000000000000000000000000000000000
χ1034-4-4-4-44444-4-44-4-444000000000000000000000000000000000000-44444-4-4-4-444-444-4-4000000000000000000000000000000000000
χ1044-4-4-4-4-444444-444-4-4000000000000000000000000000000000000-444444-4-4-4-4-44-4-444000000000000000000000000000000000000

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