Finite Group Databasebeta

← Group #6449956

Character table — Group #6449956

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882222224444448888442222222244444444444444444488888888222222444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111111-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11-111-1-11-1111111111-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11-111-1-11-1
χ10111111111-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-111-11111111111-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-111-11
χ11111111111-1-1-1-1111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-1-111-11111111111-1-1-1-1111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-1-111-11
χ12111111111-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1111-1-11-1111111111-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1111-1-11-1
χ13111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111-111-1-1-11111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111-111-1-1-11
χ14111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-11-1-1-1111-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-11-1-1-1111-1
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11-1-1111-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1111-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1111-1-1-11
χ1722222222-22222-2-2-2-2-200002222000000000000000000-2-200000022222222-22222-2-2-2-2-200002222000000000000000000-2-2000000
χ1822222222-22222-2-2-2-2-20000-2-2-2-20000000000000000002200000022222222-22222-2-2-2-2-20000-2-2-2-200000000000000000022000000
χ1922222222-2-2-2-2-2-2-2-222000022-2-2000000000000000000-2200000022222222-2-2-2-2-2-2-2-222000022-2-2000000000000000000-22000000
χ2022222222-2-2-2-2-2-2-2-2220000-2-2220000000000000000002-200000022222222-2-2-2-2-2-2-2-2220000-2-2220000000000000000002-2000000
χ2122-222-2-2-2-200002-22002i2i−2i−2i000000002i2i−2i−2i000000002-20000000022-222-2-2-2-200002-22002i2i−2i−2i000000002i2i−2i−2i000000002-200000000
χ2222-222-2-2-2-200002-22002i2i−2i−2i00000000−2i−2i2i2i00000000-220000000022-222-2-2-2-200002-22002i2i−2i−2i00000000−2i−2i2i2i00000000-2200000000
χ2322-222-2-2-2-200002-2200−2i−2i2i2i000000002i2i−2i−2i00000000-220000000022-222-2-2-2-200002-2200−2i−2i2i2i000000002i2i−2i−2i00000000-2200000000
χ2422-222-2-2-2-200002-2200−2i−2i2i2i00000000−2i−2i2i2i000000002-20000000022-222-2-2-2-200002-2200−2i−2i2i2i00000000−2i−2i2i2i000000002-200000000
χ252-222-22-2-2-20000-222002i−2i2i−2i00002i2i−2i−2i00000000002-200000000002-222-22-2-2-20000-222002i−2i2i−2i00002i2i−2i−2i00000000002-20000000000
χ262-222-22-2-2-20000-222002i−2i2i−2i0000−2i−2i2i2i0000000000-2200000000002-222-22-2-2-20000-222002i−2i2i−2i0000−2i−2i2i2i0000000000-220000000000
χ272-222-22-2-2-20000-22200−2i2i−2i2i00002i2i−2i−2i0000000000-2200000000002-222-22-2-2-20000-22200−2i2i−2i2i00002i2i−2i−2i0000000000-220000000000
χ282-222-22-2-2-20000-22200−2i2i−2i2i0000−2i−2i2i2i00000000002-200000000002-222-22-2-2-20000-22200−2i2i−2i2i0000−2i−2i2i2i00000000002-20000000000
χ292-2-22-2-222222-2-2-2-222-22-2-220000000000002-200000000000000002-2-22-2-222222-2-2-2-222-22-2-220000000000002-20000000000000000
χ302-2-22-2-222222-2-2-2-222-2-222-2000000000000-2200000000000000002-2-22-2-222222-2-2-2-222-2-222-2000000000000-220000000000000000
χ312-2-22-2-2222-2-222-2-22-222-2-22000000000000-2200000000000000002-2-22-2-2222-2-222-2-22-222-2-22000000000000-220000000000000000
χ322-2-22-2-2222-2-222-2-22-22-222-20000000000002-200000000000000002-2-22-2-2222-2-222-2-22-22-222-20000000000002-20000000000000000
χ332-2-22-2-222-222-2-222-2-220000000000000000002-22-20000000000002-2-22-2-222-222-2-222-2-220000000000000000002-22-2000000000000
χ342-2-22-2-222-222-2-222-2-22000000000000000000-22-220000000000002-2-22-2-222-222-2-222-2-22000000000000000000-22-22000000000000
χ352-2-22-2-222-2-2-22222-22-20000000000000000002-2-220000000000002-2-22-2-222-2-2-22222-22-20000000000000000002-2-22000000000000
χ362-2-22-2-222-2-2-22222-22-2000000000000000000-222-20000000000002-2-22-2-222-2-2-22222-22-2000000000000000000-222-2000000000000
χ372-2-2-222-2202-22-20000000002-22-22−22−22−22−20000000000002−22−2002-2-2-222-2202-22-20000000002-22-22−22−22−22−20000000000002−22−200
χ382-2-2-222-2202-22-20000000002-22-2−22−22−22−22000000000000−22−22002-2-2-222-2202-22-20000000002-22-2−22−22−22−22000000000000−22−2200
χ392-2-2-222-2202-22-2000000000-22-222−22−22−22−2000000000000−22−22002-2-2-222-2202-22-2000000000-22-222−22−22−22−2000000000000−22−2200
χ402-2-2-222-2202-22-2000000000-22-22−22−22−22−220000000000002−22−2002-2-2-222-2202-22-2000000000-22-22−22−22−22−220000000000002−22−200
χ412-2-2-222-220-22-220000000002-2-222−22−2−22−220000000000002−2−22002-2-2-222-220-22-220000000002-2-222−22−2−22−220000000000002−2−2200
χ422-2-2-222-220-22-220000000002-2-22−22−222−22−2000000000000−222−2002-2-2-222-220-22-220000000002-2-22−22−222−22−2000000000000−222−200
χ432-2-2-222-220-22-22000000000-222-22−22−2−22−22000000000000−222−2002-2-2-222-220-22-22000000000-222-22−22−2−22−22000000000000−222−200
χ442-2-2-222-220-22-22000000000-222-2−22−222−22−20000000000002−2−22002-2-2-222-220-22-22000000000-222-2−22−222−22−20000000000002−2−2200
χ45444-4-4-4-4404-4-44000000000000000000000000000000000000000444-4-4-4-4404-4-44000000000000000000000000000000000000000
χ46444-4-4-4-440-444-4000000000000000000000000000000000000000444-4-4-4-440-444-4000000000000000000000000000000000000000
χ4744-444-4-4-440000-44-400000000000000000000000000000000000044-444-4-4-440000-44-4000000000000000000000000000000000000
χ4844-4-4-444-40000000000000000002i2−2i2−2i22i2000000000000000000000044-4-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ4944-4-4-444-4000000000000000000−2i22i22i2−2i2000000000000000000000044-4-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ504-444-44-4-4400004-4-40000000000000000000000000000000000004-444-44-4-4400004-4-4000000000000000000000000000000000000
χ514-44-44-44-400000000000000000000002i2−2i2−2i22i20000000000000000004-44-44-44-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-44-44-44-40000000000000000000000−2i22i22i2−2i20000000000000000004-44-44-44-40000000000000000000000−2i22i22i2−2i2000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111
χ551111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1
χ57111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-11-1-111-11
χ62111111111-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1111-1-11-1
χ63111111111-1-1-1-1111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-111-1-11-1
χ64111111111-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11-1-1-111-11
χ65111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-11-1-1111-1
χ66111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-111-1111-1-1-11
χ67111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-1-11
χ68111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1111-1
χ6922222222-22222-2-2-2-2-200002222000000000000000000-2-2000000-2-2-2-2-2-2-2-22-2-2-2-2222220000-2-2-2-200000000000000000022000000
χ7022222222-22222-2-2-2-2-20000-2-2-2-200000000000000000022000000-2-2-2-2-2-2-2-22-2-2-2-22222200002222000000000000000000-2-2000000
χ7122222222-2-2-2-2-2-2-2-222000022-2-2000000000000000000-22000000-2-2-2-2-2-2-2-222222222-2-20000-2-2220000000000000000002-2000000
χ7222222222-2-2-2-2-2-2-2-2220000-2-2220000000000000000002-2000000-2-2-2-2-2-2-2-222222222-2-2000022-2-2000000000000000000-22000000
χ7322-222-2-2-2-200002-22002i2i−2i−2i000000002i2i−2i−2i000000002-200000000-2-22-2-222220000-22-200−2i−2i2i2i00000000−2i−2i2i2i00000000-2200000000
χ7422-222-2-2-2-200002-22002i2i−2i−2i00000000−2i−2i2i2i00000000-2200000000-2-22-2-222220000-22-200−2i−2i2i2i000000002i2i−2i−2i000000002-200000000
χ7522-222-2-2-2-200002-2200−2i−2i2i2i000000002i2i−2i−2i00000000-2200000000-2-22-2-222220000-22-2002i2i−2i−2i00000000−2i−2i2i2i000000002-200000000
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χ772-222-22-2-2-20000-222002i−2i2i−2i00002i2i−2i−2i00000000002-20000000000-22-2-22-222200002-2-200−2i2i−2i2i0000−2i−2i2i2i0000000000-220000000000
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χ822-2-22-2-222222-2-2-2-222-2-222-2000000000000-220000000000000000-222-222-2-2-2-2-22222-2-222-2-220000000000002-20000000000000000
χ832-2-22-2-2222-2-222-2-22-222-2-22000000000000-220000000000000000-222-222-2-2-222-2-222-22-2-222-20000000000002-20000000000000000
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χ902-2-2-222-2202-22-20000000002-22-2−22−22−22−22000000000000−22−2200-2222-2-22-20-22-22000000000-22-222−22−22−22−20000000000002−22−200
χ912-2-2-222-2202-22-2000000000-22-222−22−22−22−2000000000000−22−2200-2222-2-22-20-22-220000000002-22-2−22−22−22−220000000000002−22−200
χ922-2-2-222-2202-22-2000000000-22-22−22−22−22−220000000000002−22−200-2222-2-22-20-22-220000000002-22-22−22−22−22−2000000000000−22−2200
χ932-2-2-222-220-22-220000000002-2-222−22−2−22−220000000000002−2−2200-2222-2-22-202-22-2000000000-222-2−22−222−22−2000000000000−222−200
χ942-2-2-222-220-22-220000000002-2-22−22−222−22−2000000000000−222−200-2222-2-22-202-22-2000000000-222-22−22−2−22−220000000000002−2−2200
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χ962-2-2-222-220-22-22000000000-222-2−22−222−22−20000000000002−2−2200-2222-2-22-202-22-20000000002-2-222−22−2−22−22000000000000−222−200
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χ9944-444-4-4-440000-44-4000000000000000000000000000000000000-4-44-4-4444-400004-44000000000000000000000000000000000000
χ10044-4-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000-4-4444-4-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ10144-4-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000-4-4444-4-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ1024-444-44-4-4400004-4-4000000000000000000000000000000000000-44-4-44-444-40000-444000000000000000000000000000000000000
χ1034-44-44-44-400000000000000000000002i2−2i2−2i22i2000000000000000000-44-44-44-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ1044-44-44-44-40000000000000000000000−2i22i22i2−2i2000000000000000000-44-44-44-4400000000000000000000002i2−2i2−2i22i2000000000000000000

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