Finite Group Databasebeta

← Group #10727928

Character table — Group #10727928

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222222222223444444446666666666666662222444466666666121212121212121212121212121212124444444412121212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ25222222-2-2-222-2-2-2-2-22000000002222222-2-2-2-2-2-2-2-222-2-200002222-2-2-2-2000000000000000000000000000000000000000022-2-2000022-2-2000000000000
χ26222222-2-2-222-2-2-2-2-22000000002222222-2-2-2-2-2-2-2-222-2-200002222-2-2-2-20000000000000000000000000000000000000000-2-2220000-2-222000000000000
χ27222222-2-2-222-2-2-2-2-22000000002222222-2-2-2-2-2-2-2-2-2-2220000-2-2-2-22222000000000000000000000000000000000000000022-2-20000-2-222000000000000
χ28222222-2-2-222-2-2-2-2-22000000002222222-2-2-2-2-2-2-2-2-2-2220000-2-2-2-222220000000000000000000000000000000000000000-2-222000022-2-2000000000000
χ292222-2-222-2-2-2-2-222-2200000000222-2-2-2-22-2-222-2-222-22-2000022-2-222-2-2000000000000000000000000000000000000000000002i2i−2i−2i00002i2i−2i−2i00000000
χ302222-2-222-2-2-2-2-222-2200000000222-2-2-2-22-2-222-2-222-22-2000022-2-222-2-200000000000000000000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i00000000
χ312222-2-222-2-2-2-2-222-2200000000222-2-2-2-22-2-222-2-22-22-220000-2-222-2-222000000000000000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i00000000
χ322222-2-222-2-2-2-2-222-2200000000222-2-2-2-22-2-222-2-22-22-220000-2-222-2-22200000000000000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i00000000
χ332222-2-2-2-22-2-222-2-2222i2i2i2i−2i−2i−2i−2i222-2-2-2-2-222-2-222-22-2-222i2i−2i−2i22-2-2-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ342222-2-2-2-22-2-222-2-2222i2i2i2i−2i−2i−2i−2i222-2-2-2-2-222-2-222-2-222-2−2i−2i2i2i-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ352222-2-2-2-22-2-222-2-222−2i−2i−2i−2i2i2i2i2i222-2-2-2-2-222-2-222-22-2-22−2i−2i2i2i22-2-2-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ362222-2-2-2-22-2-222-2-222−2i−2i−2i−2i2i2i2i2i222-2-2-2-2-222-2-222-2-222-22i2i−2i−2i-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ372222-2-2-2-22-2-222-2-22-12i2i2i2i−2i−2i−2i−2i-1-1-111111-1-111-1-112-2-222i2i−2i−2i-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii0000000033−3−3−i3−i3i3i333−3−3−i3−i3i3i3000000000000000000000000
χ382222-2-2-2-22-2-222-2-22-12i2i2i2i−2i−2i−2i−2i-1-1-111111-1-111-1-112-2-222i2i−2i−2i-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii00000000−3−333i3i3−i3−i3−3−333i3i3−i3−i3000000000000000000000000
χ392222-2-2-2-22-2-222-2-22-12i2i2i2i−2i−2i−2i−2i-1-1-111111-1-111-1-11-222-2−2i−2i2i2i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i0000000033−3−3−i3−i3i3i3−3−333i3i3−i3−i3000000000000000000000000
χ402222-2-2-2-22-2-222-2-22-12i2i2i2i−2i−2i−2i−2i-1-1-111111-1-111-1-11-222-2−2i−2i2i2i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i00000000−3−333i3i3−i3−i333−3−3−i3−i3i3i3000000000000000000000000
χ412222-2-2-2-22-2-222-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-111111-1-111-1-112-2-22−2i−2i2i2i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i0000000033−3−3i3i3−i3−i333−3−3i3i3−i3−i3000000000000000000000000
χ422222-2-2-2-22-2-222-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-111111-1-111-1-112-2-22−2i−2i2i2i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i00000000−3−333−i3−i3i3i3−3−333−i3−i3i3i3000000000000000000000000
χ432222-2-2-2-22-2-222-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-111111-1-111-1-11-222-22i2i−2i−2i11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii0000000033−3−3i3i3−i3−i3−3−333−i3−i3i3i3000000000000000000000000
χ442222-2-2-2-22-2-222-2-22-1−2i−2i−2i−2i2i2i2i2i-1-1-111111-1-111-1-11-222-22i2i−2i−2i11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii00000000−3−333−i3−i3i3i333−3−3i3i3−i3−i3000000000000000000000000
χ4522-2-2222-2-2-2-22-22-222000000002-2-222-2-222-22-22-2-200002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i000000002-22-200000000
χ4622-2-2222-2-2-2-22-22-222000000002-2-222-2-222-22-22-2-200002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i00000000-22-2200000000
χ4722-2-2222-2-2-2-22-22-222000000002-2-222-2-222-22-22-2-20000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i00000000-22-2200000000
χ4822-2-2222-2-2-2-22-22-222000000002-2-222-2-222-22-22-2-20000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i000000002-22-200000000
χ4922-2-222-222-2-2-22-22-2222-2-222-2-22-2-222-2-2-2-22-22-222000000000000000022-2-222-2-2000000000000000000000000000000002i−2i−2i2i2i−2i2i−2i0000000000000000
χ5022-2-222-222-2-2-22-22-2222-2-222-2-22-2-222-2-2-2-22-22-222000000000000000022-2-222-2-200000000000000000000000000000000−2i2i2i−2i−2i2i−2i2i0000000000000000
χ5122-2-222-222-2-2-22-22-22-2-222-2-2222-2-222-2-2-2-22-22-2220000000000000000-2-222-2-222000000000000000000000000000000002i−2i−2i2i−2i2i−2i2i0000000000000000
χ5222-2-222-222-2-2-22-22-22-2-222-2-2222-2-222-2-2-2-22-22-2220000000000000000-2-222-2-22200000000000000000000000000000000−2i2i2i−2i2i−2i2i−2i0000000000000000
χ5322-2-2-2-22-2222-222-2-222i2i−2i−2i−2i−2i2i2i2-2-2-2-2222-222-2-22-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000002-22-22i−2i−2i2i00000000
χ5422-2-2-2-22-2222-222-2-222i2i−2i−2i−2i−2i2i2i2-2-2-2-2222-222-2-22-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000-22-22−2i2i2i−2i00000000
χ5522-2-2-2-22-2222-222-2-22−2i−2i2i2i2i2i−2i−2i2-2-2-2-2222-222-2-22-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000002-22-2−2i2i2i−2i00000000
χ5622-2-2-2-22-2222-222-2-22−2i−2i2i2i2i2i−2i−2i2-2-2-2-2222-222-2-22-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000-22-222i−2i−2i2i00000000
χ5722-2-2-2-2-22-2222-2-2222000000002-2-2-2-222-22-2-222-2200002-2-22000000000000000022-2-2-2-22200000000000000000000000000002-2-22-222-2000000000000
χ5822-2-2-2-2-22-2222-2-2222000000002-2-2-2-222-22-2-222-2200002-2-22000000000000000022-2-2-2-2220000000000000000000000000000-222-22-2-22000000000000
χ5922-2-2-2-2-22-2222-2-2222000000002-2-2-2-222-22-2-222-220000-222-20000000000000000-2-22222-2-200000000000000000000000000002-2-222-2-22000000000000
χ6022-2-2-2-2-22-2222-2-2222000000002-2-2-2-222-22-2-222-220000-222-20000000000000000-2-22222-2-20000000000000000000000000000-222-2-222-2000000000000
χ612-22-22-222-22-2-22-2-2222i−2i2i−2i2i−2i2i−2i-22-22-22-22-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000002-2002i−2i00
χ622-22-22-222-22-2-22-2-2222i−2i2i−2i2i−2i2i−2i-22-22-22-22-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000-2200−2i2i00
χ632-22-22-222-22-2-22-2-222−2i2i−2i2i−2i2i−2i2i-22-22-22-22-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000002-200−2i2i00
χ642-22-22-222-22-2-22-2-222−2i2i−2i2i−2i2i−2i2i-22-22-22-22-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000-22002i−2i00
χ652-22-2-22-2-2-2-22-2222222-22-2-22-22-22-2-22-22-2-222-22-2200000000000000002-22-2-22-22000000000000000000000000000000000000000000000000002-2002-2
χ662-22-2-22-2-2-2-22-2222222-22-2-22-22-22-2-22-22-2-222-22-2200000000000000002-22-2-22-2200000000000000000000000000000000000000000000000000-2200-22
χ672-22-2-22-2-2-2-22-222222-22-222-22-2-22-2-22-22-2-222-22-220000000000000000-22-222-22-2000000000000000000000000000000000000000000000000002-200-22
χ682-22-2-22-2-2-2-22-222222-22-222-22-2-22-2-22-22-2-222-22-220000000000000000-22-222-22-200000000000000000000000000000000000000000000000000-22002-2
χ692-2-222-2-22-2-22222-2-222i−2i−2i2i2i−2i−2i2i-2-222-2-22-22222-2-2-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000002-22i−2i000000002-22-22i−2i2i−2i000000000000000000000000
χ702-2-222-2-22-2-22222-2-222i−2i−2i2i2i−2i−2i2i-2-222-2-22-22222-2-2-200000000000000002i−2i−2i2i2i−2i−2i2i000000000000-22−2i2i00000000-22-22−2i2i−2i2i000000000000000000000000
χ712-2-222-2-22-2-22222-2-22−2i2i2i−2i−2i2i2i−2i-2-222-2-22-22222-2-2-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000002-2−2i2i000000002-22-2−2i2i−2i2i000000000000000000000000
χ722-2-222-2-22-2-22222-2-22−2i2i2i−2i−2i2i2i−2i-2-222-2-22-22222-2-2-20000000000000000−2i2i2i−2i−2i2i2i−2i000000000000-222i−2i00000000-22-222i−2i2i−2i000000000000000000000000
χ732-2-222-2-22-2-22222-2-2-12i−2i−2i2i2i−2i−2i2i11-1-111-11-1-1-1-111100000000−i3i3−i3i3−i3i3−i3i3−iii−i−iii−i3−33−33−33−300002-22i−2i−i3i3−i3i33−33−3-11-11−ii−ii000000000000000000000000
χ742-2-222-2-22-2-22222-2-2-12i−2i−2i2i2i−2i−2i2i11-1-111-11-1-1-1-111100000000−i3i3−i3i3−i3i3−i3i3−iii−i−iii−i3−33−33−33−30000-22−2i2ii3−i3i3−i3−33−331-11-1i−ii−i000000000000000000000000
χ752-2-222-2-22-2-22222-2-2-12i−2i−2i2i2i−2i−2i2i11-1-111-11-1-1-1-111100000000i3−i3i3−i3i3−i3i3−i3−iii−i−iii−i−33−33−33−3300002-22i−2ii3−i3i3−i3−33−33-11-11−ii−ii000000000000000000000000
χ762-2-222-2-22-2-22222-2-2-12i−2i−2i2i2i−2i−2i2i11-1-111-11-1-1-1-111100000000i3−i3i3−i3i3−i3i3−i3−iii−i−iii−i−33−33−33−330000-22−2i2i−i3i3−i3i33−33−31-11-1i−ii−i000000000000000000000000
χ772-2-222-2-22-2-22222-2-2-1−2i2i2i−2i−2i2i2i−2i11-1-111-11-1-1-1-111100000000−i3i3−i3i3−i3i3−i3i3i−i−iii−i−ii−33−33−33−3300002-2−2i2i−i3i3−i3i3−33−33-11-11i−ii−i000000000000000000000000
χ782-2-222-2-22-2-22222-2-2-1−2i2i2i−2i−2i2i2i−2i11-1-111-11-1-1-1-111100000000−i3i3−i3i3−i3i3−i3i3i−i−iii−i−ii−33−33−33−330000-222i−2ii3−i3i3−i33−33−31-11-1−ii−ii000000000000000000000000
χ792-2-222-2-22-2-22222-2-2-1−2i2i2i−2i−2i2i2i−2i11-1-111-11-1-1-1-111100000000i3−i3i3−i3i3−i3i3−i3i−i−iii−i−ii3−33−33−33−300002-2−2i2ii3−i3i3−i33−33−3-11-11i−ii−i000000000000000000000000
χ802-2-222-2-22-2-22222-2-2-1−2i2i2i−2i−2i2i2i−2i11-1-111-11-1-1-1-111100000000i3−i3i3−i3i3−i3i3−i3i−i−iii−i−ii3−33−33−33−30000-222i−2i−i3i3−i3i3−33−331-11-1−ii−ii000000000000000000000000
χ812-2-22-222-2-22-222-22-222-2-22-222-2-2-22-222-2222-2-2-2-2200000000000000002-2-22-222-2000000002i−2i2i−2i00002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ822-2-22-222-2-22-222-22-222-2-22-222-2-2-22-222-2222-2-2-2-2200000000000000002-2-22-222-200000000−2i2i−2i2i0000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ832-2-22-222-2-22-222-22-22-222-22-2-22-2-22-222-2222-2-2-2-220000000000000000-222-22-2-22000000002i−2i−2i2i00002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ842-2-22-222-2-22-222-22-22-222-22-2-22-2-22-222-2222-2-2-2-220000000000000000-222-22-2-2200000000−2i2i2i−2i0000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ852-2-22-222-2-22-222-22-2-12-2-22-222-211-11-1-11-1-1-11111-100000000−i3i3i3−i3i3−i3−i3i3-111-11-1-11−i3i3−i3i3i3−i3i3−i32i−2i2i−2i0000−iii−ii−i−ii3−3−33−333−3000000000000000000000000
χ862-2-22-222-2-22-222-22-2-12-2-22-222-211-11-1-11-1-1-11111-100000000−i3i3i3−i3i3−i3−i3i3-111-11-1-11−i3i3−i3i3i3−i3i3−i3−2i2i−2i2i0000i−i−ii−iii−i−333−33−3−33000000000000000000000000
χ872-2-22-222-2-22-222-22-2-12-2-22-222-211-11-1-11-1-1-11111-100000000i3−i3−i3i3−i3i3i3−i3-111-11-1-11i3−i3i3−i3−i3i3−i3i32i−2i2i−2i0000−iii−ii−i−ii−333−33−3−33000000000000000000000000
χ882-2-22-222-2-22-222-22-2-12-2-22-222-211-11-1-11-1-1-11111-100000000i3−i3−i3i3−i3i3i3−i3-111-11-1-11i3−i3i3−i3−i3i3−i3i3−2i2i−2i2i0000i−i−ii−iii−i3−3−33−333−3000000000000000000000000
χ892-2-22-222-2-22-222-22-2-1-222-22-2-2211-11-1-11-1-1-11111-100000000−i3i3i3−i3i3−i3−i3i31-1-11-111-1i3−i3i3−i3−i3i3−i3i32i−2i−2i2i0000−iii−i−iii−i3−3−333−3−33000000000000000000000000
χ902-2-22-222-2-22-222-22-2-1-222-22-2-2211-11-1-11-1-1-11111-100000000−i3i3i3−i3i3−i3−i3i31-1-11-111-1i3−i3i3−i3−i3i3−i3i3−2i2i2i−2i0000i−i−iii−i−ii−333−3−333−3000000000000000000000000
χ912-2-22-222-2-22-222-22-2-1-222-22-2-2211-11-1-11-1-1-11111-100000000i3−i3−i3i3−i3i3i3−i31-1-11-111-1−i3i3−i3i3i3−i3i3−i32i−2i−2i2i0000−iii−i−iii−i−333−3−333−3000000000000000000000000
χ922-2-22-222-2-22-222-22-2-1-222-22-2-2211-11-1-11-1-1-11111-100000000i3−i3−i3i3−i3i3i3−i31-1-11-111-1−i3i3−i3i3i3−i3i3−i3−2i2i2i−2i0000i−i−iii−i−ii3−3−333−3−33000000000000000000000000
χ93444444-4-4-444-4-4-4-4-4-200000000-2-2-2-2-2-2-22222222244-4-40000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ94444444-4-4-444-4-4-4-4-4-200000000-2-2-2-2-2-2-222222222-4-44400002222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ954444-4-444-4-4-4-4-444-4-200000000-2-2-22222-222-2-222-24-44-40000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ964444-4-444-4-4-4-4-444-4-200000000-2-2-22222-222-2-222-2-44-44000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ9744-4-4444-4-4-4-44-44-44-200000000-222-2-222-2-22-22-22200004i−4i4i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ9844-4-4444-4-4-4-44-44-44-200000000-222-2-222-2-22-22-2220000−4i4i−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ9944-4-444-444-4-4-44-44-4-244-4-444-4-4-222-2-22222-22-22-2-20000000000000000-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ10044-4-444-444-4-4-44-44-4-2-4-444-4-444-222-2-22222-22-22-2-2000000000000000022-2-222-2-200000000000000000000000000000000000000000000000000000000
χ10144-4-4-4-44-4444-444-4-4-24i4i−4i−4i−4i−4i4i4i-22222-2-2-22-2-222-220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ10244-4-4-4-44-4444-444-4-4-2−4i−4i4i4i4i4i−4i−4i-22222-2-2-22-2-222-2200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ10344-4-4-4-4-44-4444-4-444-200000000-22222-2-22-222-2-22-200004-4-440000000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ10444-4-4-4-4-44-4444-4-444-200000000-22222-2-22-222-2-22-20000-444-4000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ1054-44-44-444-44-4-44-4-44-24i−4i4i−4i4i−4i4i−4i2-22-22-22-22-22-2-2220000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1064-44-44-444-44-4-44-4-44-2−4i4i−4i4i−4i4i−4i4i2-22-22-22-22-22-2-22200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1074-44-44-4-4-444-44-444-4400000000-44-44-44-4-44-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-44-44-4-4-444-44-444-4-2000000002-22-22-222-22-222-2-2000000000000000000000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1094-44-44-4-4-444-44-444-4-2000000002-22-22-222-22-222-2-20000000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1104-44-4-44444-444-4-4-4-4400000000-44-4-44-4444-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-4-44444-444-4-4-4-4-2000000002-222-22-2-2-222-22-2200000000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000000000
χ1124-44-4-44444-444-4-4-4-4-2000000002-222-22-2-2-222-22-22000000000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000000000
χ1134-44-4-44-4-4-4-44-44444-24-44-4-44-442-222-22-222-2-22-22-20000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1144-44-4-44-4-4-4-44-44444-2-44-444-44-42-222-22-222-2-22-22-200000000000000002-22-2-22-2200000000000000000000000000000000000000000000000000000000
χ1154-4-444-44-44-44-4-4-444400000000-4-444-4-444-4-4-4-444400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-444-44-44-44-4-4-444-20000000022-2-222-2-22222-2-2-200000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1174-4-444-44-44-44-4-4-444-20000000022-2-222-2-22222-2-2-2000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1184-4-44-44-4444-4-4-44-44400000000-4-44-444-4-4-4-44444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-44-44-4444-4-4-44-44-20000000022-22-2-22222-2-2-2-2200000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1204-4-44-44-4444-4-4-44-44-20000000022-22-2-22222-2-2-2-22000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000

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