Finite Group Databasebeta

← Group #121736

Character table — Group #121736

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222444444442222444444444444444444444444444444444444888888888888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ911111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ18222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222000000000000000000000000000000002222-2-2-2-22222-2-2-2-20000000000000000
χ202222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22200000000000000000000000000000000-2-2-2-22222-2-2-2-222220000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2322222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ2422222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ292222-2-2-2-222-2-222-2-222-2-222-2-222-2-2222222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
χ302222-2-2-2-222-2-222-2-222-2-222-2-222-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-22
χ312222-2-2-2-222-2-222-2-222-2-222-2-2-2-222-2-2-2-2-2-222222200000000000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ322222-2-2-2-222-2-222-2-222-2-222-2-2-2-222-2-2-2-2-2-22222220000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ332222-2-2-2-222-2-222-2-2-2-222-2-22222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i000000000000
χ342222-2-2-2-222-2-222-2-2-2-222-2-22222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000
χ352222-2-2-2-222-2-222-2-2-2-222-2-222-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ362222-2-2-2-222-2-222-2-2-2-222-2-222-2-22222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ372222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222220000000000000000000000000000000000000000000000002i−2i−2i2i000000000000
χ382222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-2-222-2-22222000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ392222-2-2-2-2-2-222-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-220000
χ402222-2-2-2-2-2-222-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000-222-20000
χ412222-2-2-2-2-2-222-2-222-2-22222-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ422222-2-2-2-2-2-222-2-222-2-22222-2-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ432222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ442222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ4522-2-222-2-222-2-2-2-2222-22-22-22-2000000000000000000002i2i−2i−2i00002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−20000000000000000
χ4622-2-222-2-222-2-2-2-2222-22-22-22-2000000000000000000002i2i−2i−2i00002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−2220000000000000000
χ4722-2-222-2-222-2-2-2-2222-22-22-22-200000000000000000000−2i−2i2i2i0000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−2220000000000000000
χ4822-2-222-2-222-2-2-2-2222-22-22-22-200000000000000000000−2i−2i2i2i0000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−20000000000000000
χ4922-2-222-2-222-2-2-2-222-22-22-22-2200000000000000002i2i−2i−2i00002i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i222−2−2−2−22222−2−2−2−2220000000000000000
χ5022-2-222-2-222-2-2-2-222-22-22-22-2200000000000000002i2i−2i−2i00002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−2−22222−2−20000000000000000
χ5122-2-222-2-222-2-2-2-222-22-22-22-220000000000000000−2i−2i2i2i0000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−2−22222−2−20000000000000000
χ5222-2-222-2-222-2-2-2-222-22-22-22-220000000000000000−2i−2i2i2i0000−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i222−2−2−2−22222−2−2−2−2220000000000000000
χ5322-2-222-2-2-2-22222-2-22-22-2-22-22000000000000000022-2-20000-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ5422-2-222-2-2-2-22222-2-22-22-2-22-22000000000000000022-2-20000-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ5522-2-222-2-2-2-22222-2-22-22-2-22-220000000000000000-2-222000022-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ5622-2-222-2-2-2-22222-2-22-22-2-22-220000000000000000-2-222000022-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ5722-2-222-2-2-2-22222-2-2-22-222-22-20000000000000000000022-2-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ5822-2-222-2-2-2-22222-2-2-22-222-22-20000000000000000000022-2-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ5922-2-222-2-2-2-22222-2-2-22-222-22-200000000000000000000-2-222000022-2-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ6022-2-222-2-2-2-22222-2-2-22-222-22-200000000000000000000-2-222000022-2-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ612-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-2002i−2i2i−2i2-2001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00002i−2i2i−2i00002-22-21−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ622-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-2002i−2i2i−2i2-2001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000−2i2i−2i2i0000-22-22−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ632-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-2002i−2i2i−2i2-200−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00002i−2i2i−2i00002-22-2−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ642-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-2002i−2i2i−2i2-200−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000−2i2i−2i2i0000-22-221−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ652-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000-2200−2i2i−2i2i-22001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i2i−2i2i−2i00002-22-200001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i0000000000000000
χ662-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000-2200−2i2i−2i2i-22001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−2i2i−2i2i0000-22-220000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i0000000000000000
χ672-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000-2200−2i2i−2i2i-2200−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i2i−2i2i−2i00002-22-20000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i0000000000000000
χ682-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000-2200−2i2i−2i2i-2200−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−2i2i−2i2i0000-22-2200001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i0000000000000000
χ692-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-200−2i2i−2i2i2-2001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00002i−2i2i−2i0000-22-22−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000
χ702-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-200−2i2i−2i2i2-2001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000−2i2i−2i2i00002-22-21+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000
χ712-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-200−2i2i−2i2i2-200−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00002i−2i2i−2i0000-22-221+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000
χ722-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-200−2i2i−2i2i2-200−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000−2i2i−2i2i00002-22-2−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000
χ732-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000-22002i−2i2i−2i-22001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i2i−2i2i−2i0000-22-220000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i0000000000000000
χ742-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000-22002i−2i2i−2i-22001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−2i2i−2i2i00002-22-200001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i0000000000000000
χ752-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000-22002i−2i2i−2i-2200−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i2i−2i2i−2i0000-22-2200001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i0000000000000000
χ762-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000-22002i−2i2i−2i-2200−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−2i2i−2i2i00002-22-20000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i0000000000000000
χ772-2-222-2-222i−2i−2i2i−2i2i2i−2i000000002-22-2002i−2i0000002i−2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i2−2−222−2−22−i2i2i2−i2−i2i2i2−i20000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000000000000000
χ782-2-222-2-222i−2i−2i2i−2i2i2i−2i000000002-22-2002i−2i0000002i−2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−222−2−222−2i2−i2−i2i2i2−i2−i2i200002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ0000000000000000
χ792-2-222-2-222i−2i−2i2i−2i2i2i−2i000000002-22-2002i−2i0000002i−2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i2−2−222−2−22−i2i2i2−i2−i2i2i2−i200002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ0000000000000000
χ802-2-222-2-222i−2i−2i2i−2i2i2i−2i000000002-22-2002i−2i0000002i−2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−222−2−222−2i2−i2−i2i2i2−i2−i2i20000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000000000000000
χ812-2-222-2-222i−2i−2i2i−2i2i2i−2i00000000-22-2200−2i2i000000−2i2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ00000000000000000000
χ822-2-222-2-222i−2i−2i2i−2i2i2i−2i00000000-22-2200−2i2i000000−2i2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−222−22−2−22i2−i2−i2i2−i2i2i2−i22ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00000000000000000000
χ832-2-222-2-222i−2i−2i2i−2i2i2i−2i00000000-22-2200−2i2i000000−2i2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i2−2−22−222−2−i2i2i2−i2i2−i2−i2i22ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00000000000000000000
χ842-2-222-2-222i−2i−2i2i−2i2i2i−2i00000000-22-2200−2i2i000000−2i2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−222−22−2−22i2−i2−i2i2−i2i2i2−i2−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ00000000000000000000
χ852-2-222-2-22−2i2i2i−2i2i−2i−2i2i000000002-22-200−2i2i000000−2i2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i2−2−222−2−22i2−i2−i2i2i2−i2−i2i200002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ30000000000000000
χ862-2-222-2-22−2i2i2i−2i2i−2i−2i2i000000002-22-200−2i2i000000−2i2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−222−2−222−2−i2i2i2−i2−i2i2i2−i20000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000000000000000
χ872-2-222-2-22−2i2i2i−2i2i−2i−2i2i000000002-22-200−2i2i000000−2i2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i2−2−222−2−22i2−i2−i2i2i2−i2−i2i20000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000000000000000
χ882-2-222-2-22−2i2i2i−2i2i−2i−2i2i000000002-22-200−2i2i000000−2i2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−222−2−222−2−i2i2i2−i2−i2i2i2−i200002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ30000000000000000
χ892-2-222-2-22−2i2i2i−2i2i−2i−2i2i00000000-22-22002i−2i0000002i−2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i2−2−22−222−2i2−i2−i2i2−i2i2i2−i22ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300000000000000000000
χ902-2-222-2-22−2i2i2i−2i2i−2i−2i2i00000000-22-22002i−2i0000002i−2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−222−22−2−22−i2i2i2−i2i2−i2−i2i2−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ300000000000000000000
χ912-2-222-2-22−2i2i2i−2i2i−2i−2i2i00000000-22-22002i−2i0000002i−2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ300000000000000000000
χ922-2-222-2-22−2i2i2i−2i2i−2i−2i2i00000000-22-22002i−2i0000002i−2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−222−22−2−22−i2i2i2−i2i2−i2−i2i22ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300000000000000000000
χ9344-4-4-4-4444444-4-4-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-4-4444444-4-4-4-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-4-444-4-4-4-444444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-4-444-4-4-4-44444-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-44-444i−4i−4i4i4i−4i−4i4i0000000000004-4004i−4i−4i4i-44000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-44-444i−4i−4i4i4i−4i−4i4i000000000000-4400−4i4i4i−4i4-4000000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-44-44−4i4i4i−4i−4i4i4i−4i0000000000004-400−4i4i4i−4i-44000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-44-44−4i4i4i−4i−4i4i4i−4i000000000000-44004i−4i−4i4i4-4000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44i−4i4i−4i−4i4i−4i4i000000004-4-44004i−4i000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-44i−4i4i−4i−4i4i−4i4i00000000-444-400−4i4i0000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4−4i4i−4i4i4i−4i4i−4i000000004-4-4400−4i4i0000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-4−4i4i−4i4i4i−4i4i−4i00000000-444-4004i−4i000000−4i4i0000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.