Finite Group Databasebeta

← Group #6448857

Character table — Group #6448857

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882222444444448888222222222244444444444444444488888888222244444444888822
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-11-11111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-11-1
χ101111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1111-111-1-1-1-1-1-111-111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1111-111-1-1-1-1-1-111-11
χ111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-11
χ121111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1111-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1111-1
χ131111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-11
χ141111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-11-1-111-1-111-1-11-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-11-1-111-1-111-1-11-1
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-1111-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-1111-1
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-1-111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-1-11
χ1722222222-2-22222-2-2-2-222220000000000000000-2-200000000000022222222-2-22222-2-2-2-222220000000000000000-2-2000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-200000000000000002200000000000022222222-2-22222-2-2-2-2-2-2-2-2000000000000000022000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-20000000000000000-2200000000000022222222-2-2-2-2-2-2-2-22222-2-20000000000000000-22000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22200000000000000002-200000000000022222222-2-2-2-2-2-2-2-222-2-22200000000000000002-2000000000000
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χ262-222-2-2-222222-2-2-2-22-20000000000000000000000−2i2i−2i2i000000002-222-2-2-222222-2-2-2-22-20000000000000000000000−2i2i−2i2i00000000
χ272-222-2-2-2222-2-222-2-2-2200000000000000000000002i−2i−2i2i000000002-222-2-2-2222-2-222-2-2-2200000000000000000000002i−2i−2i2i00000000
χ282-222-2-2-2222-2-222-2-2-220000000000000000000000−2i2i2i−2i000000002-222-2-2-2222-2-222-2-2-220000000000000000000000−2i2i2i−2i00000000
χ292-222-2-2-22-2-222-2-222-2200002-22-2000000002-200000000000000002-222-2-2-22-2-222-2-222-2200002-22-2000000002-20000000000000000
χ302-222-2-2-22-2-222-2-222-220000-22-2200000000-2200000000000000002-222-2-2-22-2-222-2-222-220000-22-2200000000-220000000000000000
χ312-222-2-2-22-2-2-2-222222-200002-22-200000000-2200000000000000002-222-2-2-22-2-2-2-222222-200002-22-200000000-220000000000000000
χ322-222-2-2-22-2-2-2-222222-20000-22-22000000002-200000000000000002-222-2-2-22-2-2-2-222222-20000-22-22000000002-20000000000000000
χ332-22-222-2-2-2200002-20000002i−2i−2i2i00002i2i−2i−2i002-2000000000000002-22-222-2-2-2200002-20000002i−2i−2i2i00002i2i−2i−2i002-200000000000000
χ342-22-222-2-2-2200002-20000002i−2i−2i2i0000−2i−2i2i2i00-22000000000000002-22-222-2-2-2200002-20000002i−2i−2i2i0000−2i−2i2i2i00-2200000000000000
χ352-22-222-2-2-2200002-2000000−2i2i2i−2i00002i2i−2i−2i00-22000000000000002-22-222-2-2-2200002-2000000−2i2i2i−2i00002i2i−2i−2i00-2200000000000000
χ362-22-222-2-2-2200002-2000000−2i2i2i−2i0000−2i−2i2i2i002-2000000000000002-22-222-2-2-2200002-2000000−2i2i2i−2i0000−2i−2i2i2i002-200000000000000
χ372-2-2-22-222002-22-200002-22-200002−22−22−22−20000000000002−22−2002-2-2-22-222002-22-200002-22-200002−22−22−22−20000000000002−22−200
χ382-2-2-22-222002-22-200002-22-20000−22−22−22−22000000000000−22−22002-2-2-22-222002-22-200002-22-20000−22−22−22−22000000000000−22−2200
χ392-2-2-22-222002-22-20000-22-2200002−22−22−22−2000000000000−22−22002-2-2-22-222002-22-20000-22-2200002−22−22−22−2000000000000−22−2200
χ402-2-2-22-222002-22-20000-22-220000−22−22−22−220000000000002−22−2002-2-2-22-222002-22-20000-22-220000−22−22−22−220000000000002−22−200
χ412-2-2-22-22200-22-2200002-2-2200002−22−2−22−220000000000002−2−22002-2-2-22-22200-22-2200002-2-2200002−22−2−22−220000000000002−2−2200
χ422-2-2-22-22200-22-2200002-2-220000−22−222−22−2000000000000−222−2002-2-2-22-22200-22-2200002-2-220000−22−222−22−2000000000000−222−200
χ432-2-2-22-22200-22-220000-222-200002−22−2−22−22000000000000−222−2002-2-2-22-22200-22-220000-222-200002−22−2−22−22000000000000−222−200
χ442-2-2-22-22200-22-220000-222-20000−22−222−22−20000000000002−2−22002-2-2-22-22200-22-220000-222-20000−22−222−22−20000000000002−2−2200
χ45444-4-4-44-4-440000-44000000000000000000000000000000000000444-4-4-44-4-440000-44000000000000000000000000000000000000
χ4644-444-4-4-400000000000000000000002i2−2i2−2i22i200000000000000000044-444-4-4-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4744-444-4-4-40000000000000000000000−2i22i22i2−2i200000000000000000044-444-4-4-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ4844-4-4-44-44004-4-440000000000000000000000000000000000000044-4-4-44-44004-4-4400000000000000000000000000000000000000
χ4944-4-4-44-4400-444-40000000000000000000000000000000000000044-4-4-44-4400-444-400000000000000000000000000000000000000
χ504-44-444-4-44-40000-440000000000000000000000000000000000004-44-444-4-44-40000-44000000000000000000000000000000000000
χ514-4-44-444-400000000000000000022−22−222200000000000000000000004-4-44-444-400000000000000000022−22−22220000000000000000000000
χ524-4-44-444-4000000000000000000−222222−2200000000000000000000004-4-44-444-4000000000000000000−222222−220000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-11111-1-1
χ57111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ611111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-111-11
χ621111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1111-111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-1111111-1-11-1
χ631111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1111-1-111-1-1111-1
χ641111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-111-1111-1-1-1-111-1-1-11
χ651111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-11-1
χ661111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-11-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111-11
χ671111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-11
χ681111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1111-1-1-111-1-1-1-1111-1
χ6922222222-2-22222-2-2-2-222220000000000000000-2-2000000000000-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000022000000000000
χ7022222222-2-22222-2-2-2-2-2-2-2-2000000000000000022000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222220000000000000000-2-2000000000000
χ7122222222-2-2-2-2-2-2-2-22222-2-20000000000000000-22000000000000-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000002-2000000000000
χ7222222222-2-2-2-2-2-2-2-222-2-22200000000000000002-2000000000000-2-2-2-2-2-2-2-222222222-2-222-2-20000000000000000-22000000000000
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χ892-2-2-22-222002-22-200002-22-200002−22−22−22−20000000000002−22−200-2222-22-2-200-22-220000-22-220000−22−22−22−22000000000000−22−2200
χ902-2-2-22-222002-22-200002-22-20000−22−22−22−22000000000000−22−2200-2222-22-2-200-22-220000-22-2200002−22−22−22−20000000000002−22−200
χ912-2-2-22-222002-22-20000-22-2200002−22−22−22−2000000000000−22−2200-2222-22-2-200-22-2200002-22-20000−22−22−22−220000000000002−22−200
χ922-2-2-22-222002-22-20000-22-220000−22−22−22−220000000000002−22−200-2222-22-2-200-22-2200002-22-200002−22−22−22−2000000000000−22−2200
χ932-2-2-22-22200-22-2200002-2-2200002−22−2−22−220000000000002−2−2200-2222-22-2-2002-22-20000-222-20000−22−222−22−2000000000000−222−200
χ942-2-2-22-22200-22-2200002-2-220000−22−222−22−2000000000000−222−200-2222-22-2-2002-22-20000-222-200002−22−2−22−220000000000002−2−2200
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χ962-2-2-22-22200-22-220000-222-20000−22−222−22−20000000000002−2−2200-2222-22-2-2002-22-200002-2-2200002−22−2−22−22000000000000−222−200
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χ9844-444-4-4-400000000000000000000002i2−2i2−2i22i2000000000000000000-4-44-4-44440000000000000000000000−2i22i22i2−2i2000000000000000000
χ9944-444-4-4-40000000000000000000000−2i22i22i2−2i2000000000000000000-4-44-4-444400000000000000000000002i2−2i2−2i22i2000000000000000000
χ10044-4-4-44-44004-4-4400000000000000000000000000000000000000-4-4444-44-400-444-400000000000000000000000000000000000000
χ10144-4-4-44-4400-444-400000000000000000000000000000000000000-4-4444-44-4004-4-4400000000000000000000000000000000000000
χ1024-44-444-4-44-40000-44000000000000000000000000000000000000-44-44-4-444-4400004-4000000000000000000000000000000000000
χ1034-4-44-444-400000000000000000022−22−22220000000000000000000000-444-44-4-44000000000000000000−222222−220000000000000000000000
χ1044-4-44-444-4000000000000000000−222222−220000000000000000000000-444-44-4-4400000000000000000022−22−22220000000000000000000000

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