Finite Group Databasebeta

← Group #121739

Character table — Group #121739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222224444444444444444444444448888888888888888888888888888888888888888888888884444444444444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
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χ11111-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
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χ13111-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ14111-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ15111-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ16111-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
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χ802-2-2-22-22-22222-2-22-22-22-2-22-22-2-2-2-2222-22-22222-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ812-2-2-22-22-22222-2-22-2-22-222-22-2-2-222-2-22-22-222-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i000000000000
χ822-2-2-22-22-22222-2-22-2-22-222-22-2-2-222-2-22-22-222-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ832-2-2-22-22-22222-2-22-2-22-22-22-22222222-22-22-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-22
χ842-2-2-22-22-22222-2-22-2-22-22-22-22222222-22-22-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-2
χ852-2-2-2-222-2-2-2-22222222-2-2000000-2200000000-22002−2−222−2−22−222−2−222−22−2−222−2−22−222−2−222−20000-222-200002-2-220000000000000000
χ862-2-2-2-222-2-2-2-22222222-2-2000000-2200000000-22002−2−222−2−22−222−2−222−2−222−2−222−22−2−222−2−2200002-2-220000-222-20000000000000000
χ872-2-2-2-222-2-2-2-22222222-2-2000000-2200000000-2200−222−2−222−22−2−222−2−222−2−222−2−22−222−2−222−200002-2-220000-222-20000000000000000
χ882-2-2-2-222-2-2-2-22222222-2-2000000-2200000000-2200−222−2−222−22−2−222−2−22−222−2−222−22−2−222−2−220000-222-200002-2-220000000000000000
χ892-2-2-2-222-2-2-2-222222-2-2220000002-2000000002-2002−2−22−222−2−222−22−2−222−2−22−222−2−222−22−2−22-222-200002-2-2200000000000000000000
χ902-2-2-2-222-2-2-2-222222-2-2220000002-2000000002-2002−2−22−222−2−222−22−2−22−222−22−2−222−2−22−222−22-2-220000-222-200000000000000000000
χ912-2-2-2-222-2-2-2-222222-2-2220000002-2000000002-200−222−22−2−222−2−22−222−22−2−22−222−2−222−22−2−222-2-220000-222-200000000000000000000
χ922-2-2-2-222-2-2-2-222222-2-2220000002-2000000002-200−222−22−2−222−2−22−222−2−222−22−2−222−2−22−222−2-222-200002-2-2200000000000000000000
χ934444-4-444-4-4-44-4-44-44-4-440000004-400000000-44000000000000000000000000000000000000000000000000000000000000000000
χ944444-4-444-4-4-44-4-44-4-444-4000000-44000000004-4000000000000000000000000000000000000000000000000000000000000000000
χ95444-444-4-44-4-44-4-4-444-4-44000000-44000000004-4000000000000000000000000000000000000000000000000000000000000000000
χ96444-444-4-44-4-44-4-4-44-444-40000004-400000000-44000000000000000000000000000000000000000000000000000000000000000000
χ9744-44-4-4-4-44-44-4-444400004-4-4400004-400000000-440000000000000000000000000000000000000000000000000000000000000000
χ9844-44-4-4-4-44-44-4-44440000-444-40000-44000000004-40000000000000000000000000000000000000000000000000000000000000000
χ9944-4-44444-4-44-4-44-4-400004-4-440000-44000000004-40000000000000000000000000000000000000000000000000000000000000000
χ10044-4-44444-4-44-4-44-4-40000-444-400004-400000000-440000000000000000000000000000000000000000000000000000000000000000
χ1014-444-444-444-4-4-44-4-4000000004-400004-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1024-444-444-444-4-4-44-4-400000000-440000-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1034-44-44-4-44-44-4-4-4444000000004-40000-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1044-44-44-4-44-44-4-4-444400000000-4400004-4-444-400000000000000000000000000000000000000000000000000000000000000000000

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