Finite Group Databasebeta

← Group #613184

Character table — Group #613184

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444224444444444444422444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-111-1-11-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-11-1-111-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111-111-1-11-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-1111
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-11-1111
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111111-11-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-11-1-11-11
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11-111-11-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-11-111-11-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-11-11-1-11-11
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1111-1
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-11
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1111-1-1-11
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-1-1-1111-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-11-11-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-111-1-111-1-1-1-11-11-111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-111-1-11111-11-11-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111-1-111-1-11
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-111-1-111-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-111-1-111-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11
χ3322222-2-2-2-2-2-2-2-22222i2i2i2i−2i−2i−2i−2i00000000000000002222-2-2-2-22i2i−2i−2i000000002i2i−2i−2i00002i2i−2i−2i0000000022-2-2000022-2-2000000000000000000000000
χ3422222-2-2-2-2-2-2-2-22222i2i2i2i−2i−2i−2i−2i00000000000000002222-2-2-2-22i2i−2i−2i00000000−2i−2i2i2i0000−2i−2i2i2i00000000-2-2220000-2-222000000000000000000000000
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χ5722-22-222-2-2-2-222-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000002-200002-22i−2i2i−2i000000000000
χ5822-22-222-2-2-2-222-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000-220000-22−2i2i−2i2i000000000000
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χ6422-22-222-2-2-2-222-22-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000-2200002-2−2i2i2i−2i000000000000
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χ762-2-2222-2-22-222-22-2-22-2-222-2-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i-22-22-22-22-22-222i−2i2i−2i00000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ772-2-2222-2-22-222-22-2-2-222-2-222-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2-22-22-22-2-22-222i−2i2i−2i0000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ782-2-2222-2-22-222-22-2-2-222-2-222-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i-22-22-22-222-22-2−2i2i−2i2i00000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ792-2-2222-2-22-222-22-2-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2-22-22-22-2-22-22−2i2i−2i2i00000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ802-2-2222-2-22-222-22-2-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i-22-22-22-222-22-22i−2i2i−2i0000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ812-2-222-222-22-2-222-2-22i−2i−2i2i−2i2i2i−2i00000000000000002-22-2-22-222i−2i−2i2i00002-22-200002-22-2000000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000
χ822-2-222-222-22-2-222-2-22i−2i−2i2i−2i2i2i−2i00000000000000002-22-2-22-222i−2i−2i2i0000-22-220000-22-2200000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000
χ832-2-222-222-22-2-222-2-22i−2i−2i2i−2i2i2i−2i0000000000000000-22-222-22-2−2i2i2i−2i00002-22-20000-22-22000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000
χ842-2-222-222-22-2-222-2-22i−2i−2i2i−2i2i2i−2i0000000000000000-22-222-22-2−2i2i2i−2i0000-22-2200002-22-200000000−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000
χ852-2-222-222-22-2-222-2-2−2i2i2i−2i2i−2i−2i2i00000000000000002-22-2-22-22−2i2i2i−2i00002-22-200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000
χ862-2-222-222-22-2-222-2-2−2i2i2i−2i2i−2i−2i2i00000000000000002-22-2-22-22−2i2i2i−2i0000-22-220000-22-22000000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000
χ872-2-222-222-22-2-222-2-2−2i2i2i−2i2i−2i−2i2i0000000000000000-22-222-22-22i−2i−2i2i00002-22-20000-22-2200000000−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000
χ882-2-222-222-22-2-222-2-2−2i2i2i−2i2i−2i−2i2i0000000000000000-22-222-22-22i−2i−2i2i0000-22-2200002-22-2000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000
χ892-2-2-2-22-22-2-22-22222000000002-2-22-222-2000000002-2-222-2-2200002-2-222-2-2200002-2-220000000000002-22-200002-22-2000000000000000000000000
χ902-2-2-2-22-22-2-22-22222000000002-2-22-222-2000000002-2-222-2-2200002-2-22-222-20000-222-2000000000000-22-220000-22-22000000000000000000000000
χ912-2-2-2-22-22-2-22-22222000000002-2-22-222-200000000-222-2-222-20000-222-22-2-220000-222-20000000000002-22-20000-22-22000000000000000000000000
χ922-2-2-2-22-22-2-22-22222000000002-2-22-222-200000000-222-2-222-20000-222-2-222-200002-2-22000000000000-22-2200002-22-2000000000000000000000000
χ932-2-2-2-22-22-2-22-2222200000000-222-22-2-22000000002-2-222-2-220000-222-22-2-2200002-2-22000000000000-22-220000-22-22000000000000000000000000
χ942-2-2-2-22-22-2-22-2222200000000-222-22-2-22000000002-2-222-2-220000-222-2-222-20000-222-20000000000002-22-200002-22-2000000000000000000000000
χ952-2-2-2-22-22-2-22-2222200000000-222-22-2-2200000000-222-2-222-200002-2-222-2-220000-222-2000000000000-22-2200002-22-2000000000000000000000000
χ962-2-2-2-22-22-2-22-2222200000000-222-22-2-2200000000-222-2-222-200002-2-22-222-200002-2-220000000000002-22-20000-22-22000000000000000000000000
χ972-2-2-2-2-22-222-22-222200000000000000002-2-22-222-22-2-22-222-20000000000000000000000002-2-222-2-222-2-222-2-222-2-22000000000000000000000000
χ982-2-2-2-2-22-222-22-222200000000000000002-2-22-222-22-2-22-222-20000000000000000000000002-2-22-222-2-222-2-222-2-222-2000000000000000000000000
χ992-2-2-2-2-22-222-22-222200000000000000002-2-22-222-2-222-22-2-22000000000000000000000000-222-22-2-222-2-22-222-2-222-2000000000000000000000000
χ1002-2-2-2-2-22-222-22-222200000000000000002-2-22-222-2-222-22-2-22000000000000000000000000-222-2-222-2-222-22-2-222-2-22000000000000000000000000
χ1012-2-2-2-2-22-222-22-22220000000000000000-222-22-2-222-2-22-222-2000000000000000000000000-222-22-2-22-222-22-2-22-222-2000000000000000000000000
χ1022-2-2-2-2-22-222-22-22220000000000000000-222-22-2-222-2-22-222-2000000000000000000000000-222-2-222-22-2-22-222-22-2-22000000000000000000000000
χ1032-2-2-2-2-22-222-22-22220000000000000000-222-22-2-22-222-22-2-220000000000000000000000002-2-222-2-22-222-2-222-22-2-22000000000000000000000000
χ1042-2-2-2-2-22-222-22-22220000000000000000-222-22-2-22-222-22-2-220000000000000000000000002-2-22-222-22-2-222-2-22-222-2000000000000000000000000
χ10544-44-4-4-44444-4-4-44-44i4i−4i−4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-44-4-4-44444-4-4-44-4−4i−4i4i4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-444444-4-4-4-4-4-440000000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-444444-4-4-4-4-4-4400000000-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10944-4-44-4-4-4-44444-4-44000000000000000044-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ11044-4-44-4-4-4-44444-4-440000000000000000-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-44-44-44-44-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-44-44-44-44-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-44-444-4-444-4-44-44-4000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-44-444-4-444-4-44-44-400000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-44-444-4-444-4-44-400000000000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-44-444-4-444-4-44-40000000000000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000

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