Finite Group Databasebeta

← Group #393326

Character table — Group #393326

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222222222222244444444444444444444444444444444888888888888888888888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ171111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−i1-11-11-11-1
χ181111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii-11-11-11-11
χ191111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i-11-11-11-11
χ201111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii1-11-11-11-1
χ211111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−ii1-1-111-1-11
χ221111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ii−iii−ii−i-111-1-111-1
χ231111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−ii−ii−i−ii−ii-111-1-111-1
χ241111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i1-1-111-1-11
χ251111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii1-11-1-11-11
χ261111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i-11-111-11-1
χ271111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii-11-111-11-1
χ281111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i1-11-1-11-11
χ291111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iii−i1-1-11-111-1
χ301111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−ii-111-11-1-11
χ311111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiii−i−ii−iii−i-111-11-1-11
χ321111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−ii1-1-11-111-1
χ33222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
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χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ372222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ382222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ392222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ402222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ41222-222222-2-2-2-2-2-2-222-2-222-2-222-2-22-222-2-222-2-22-20000000000000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ42222-222222-2-2-2-2-2-2-222-2-222-2-222-2-22-222-2-222-2-22-200000000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ43222-222222-2-2-2-2-2-2-222-2-222-2-2-2-222-22-2-222-2-222-22000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ44222-222222-2-2-2-2-2-2-222-2-222-2-2-2-222-22-2-222-2-222-220000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ45222-222222-2-2-2-2-2-2-2-2-222-2-22222-2-22-2-2-222-2-2222-20000000000000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ46222-222222-2-2-2-2-2-2-2-2-222-2-22222-2-22-2-2-222-2-2222-200000000000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ47222-222222-2-2-2-2-2-2-2-2-222-2-222-2-222-2222-2-222-2-2-22000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ48222-222222-2-2-2-2-2-2-2-2-222-2-222-2-222-2222-2-222-2-2-220000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ49222-2-2-2-2-22-22222-2-222-2-2-2-22222-2-2-2222-2-2-2-222-22000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ50222-2-2-2-2-22-22222-2-222-2-2-2-22222-2-2-2222-2-2-2-222-2200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ51222-2-2-2-2-22-22222-2-222-2-2-2-222-2-2222-2-2-22222-2-22-200000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ52222-2-2-2-2-22-22222-2-222-2-2-2-222-2-2222-2-2-22222-2-22-20000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ53222-2-2-2-2-22-22222-2-2-2-22222-2-222-2-2-22-2-22222-2-2-22000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ54222-2-2-2-2-22-22222-2-2-2-22222-2-222-2-2-22-2-22222-2-2-2200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ55222-2-2-2-2-22-22222-2-2-2-22222-2-2-2-2222-222-2-2-2-2222-200000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ56222-2-2-2-2-22-22222-2-2-2-22222-2-2-2-2222-222-2-2-2-2222-20000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ572-2-2222-2-22-222-2-22-2000000002-22-22-200000000-2200002i−2i2i−2i00002i−2i2i−2i000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-2-2222-2-22-222-2-22-2000000002-22-22-200000000-2200002i−2i2i−2i00002i−2i2i−2i00000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-2-2222-2-22-222-2-22-2000000002-22-22-200000000-220000−2i2i−2i2i0000−2i2i−2i2i000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
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χ622-2-2222-2-22-222-2-22-200000000-22-22-22000000002-200002i−2i2i−2i0000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000-22-22-22-220000000000000000
χ632-2-2222-2-22-222-2-22-200000000-22-22-22000000002-20000−2i2i−2i2i00002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000-22-22-22-220000000000000000
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χ9244-44-44-44-44-44-44-4-4-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-44-4-4-4-44-44444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-44-4-4-4-44-4444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-44-44-4-44-44-4444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-44-44-4-44-44-444-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4444-4-44-4-44-4-44-44000000000000004i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ984-4444-4-44-4-44-4-44-4400000000000000−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ994-444-444-4-4-4-444-4-44000000000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1004-444-444-4-4-4-444-4-4400000000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1014-44-44-4-44-44-444-44-4000000000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-44-4-44-44-444-44-400000000000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1034-44-4-444-4-444-4-444-4000000000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1044-44-4-444-4-444-4-444-400000000000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000

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