Finite Group Databasebeta

← Group #205254

Character table — Group #205254

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222244444444444444448888888888888888444444444444444444448888888888888888888888882222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-11-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ171-1-111-1-1111-1-1-111-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ181-1-111-1-1111-1-1-111-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ191-1-111-1-1111-1-1-111-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ201-1-111-1-1111-1-1-111-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ211-1-111-1-1111-1-1-111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1-1-111-1-11i−ii−i−ii−ii
χ221-1-111-1-1111-1-1-111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-111-1-111-1−ii−iii−ii−i
χ231-1-111-1-1111-1-1-111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1-1-111-1-11−ii−iii−ii−i
χ241-1-111-1-1111-1-1-111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-111-1-111-1i−ii−i−ii−ii
χ251-1-111-1-11-1-111-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-1-11-11i−i−iii−i−ii
χ261-1-111-1-11-1-111-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-111-11-1−iii−i−iii−i
χ271-1-111-1-11-1-111-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-1-11-11−iii−i−iii−i
χ281-1-111-1-11-1-111-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-111-11-1i−i−iii−i−ii
χ291-1-111-1-11-1-111-1-1-11111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1i−i−ii−iii−i
χ301-1-111-1-11-1-111-1-1-11111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11−iii−ii−i−ii
χ311-1-111-1-11-1-111-1-1-11111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1−iii−ii−i−ii
χ321-1-111-1-11-1-111-1-1-11111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-11-1-11i−i−ii−iii−i
χ3322222222222222222-2-2-2-2-2-2-2222-22222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ3422222222222222222-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222200000000000000000000000000000000
χ35222222222222-2-2-2-2-22222222-2-2-220000000000000000-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ36222222222222-2-2-2-2-22222222-2-2-220000000000000000-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3922222222-2-2-2-22-2-2-2-2-2-2-22222222-222222222-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2-2-2222200000000000000000000000000000000
χ4022222222-2-2-2-22-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-222222222-2-22200000000000000002222-2-2-2-200000000000000000000000000000000
χ4122222222-2-2-2-2-22222222-2-2-2-2-2-2-220000000000000000-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ4222222222-2-2-2-2-22222222-2-2-2-2-2-2-220000000000000000-2-222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ4322222222-2-2-2-2-22222-2-2-22222-2-2-2-2000000000000000022-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4422222222-2-2-2-2-22222-2-2-22222-2-2-2-2000000000000000022-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ4522-2-2-22-222-22-2000002-222-22-2000-222−2−222−2−222−2−222−2−20000002i−2i002i−2i002i−2i002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4622-2-2-22-222-22-2000002-222-22-2000-222−2−222−2−222−2−222−2−2000000−2i2i00−2i2i00−2i2i00−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4722-2-2-22-222-22-2000002-222-22-2000-2−2−222−2−222−2−222−2−2220000002i−2i002i−2i002i−2i002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4822-2-2-22-222-22-2000002-222-22-2000-2−2−222−2−222−2−222−2−222000000−2i2i00−2i2i00−2i2i00−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4922-2-2-22-222-22-200000-22-2-22-22000222−2−222−2−222−2−222−2−200002-2002-2002-2002-200−22−22−22−222−2−222−2−222−2−222−2−220000000000000000
χ5022-2-2-22-222-22-200000-22-2-22-22000222−2−222−2−222−2−222−2−20000-2200-2200-2200-2200−22−22−22−22−222−2−222−2−222−2−222−20000000000000000
χ5122-2-2-22-222-22-200000-22-2-22-220002−2−222−2−222−2−222−2−22200002-2002-2002-2002-2002−22−22−22−2−222−2−222−2−222−2−222−20000000000000000
χ5222-2-2-22-222-22-200000-22-2-22-220002−2−222−2−222−2−222−2−2220000-2200-2200-2200-22002−22−22−22−22−2−222−2−222−2−222−2−220000000000000000
χ5322-2-2-22-22-22-22000002-22-22-22000-222−2−222−2−2−2−222−2−2220000002i−2i002i−2i00−2i2i00−2i2i2−22−2−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ5422-2-2-22-22-22-22000002-22-22-22000-222−2−222−2−2−2−222−2−222000000−2i2i00−2i2i002i−2i002i−2i2−22−2−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ5522-2-2-22-22-22-22000002-22-22-22000-2−2−222−2−22222−2−222−2−20000002i−2i002i−2i00−2i2i00−2i2i−22−222−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ5622-2-2-22-22-22-22000002-22-22-22000-2−2−222−2−22222−2−222−2−2000000−2i2i00−2i2i002i−2i002i−2i−22−222−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ5722-2-2-22-22-22-2200000-22-22-22-2000222−2−222−2−2−2−222−2−22200002-2002-200-2200-2200−22−222−22−22−2−222−2−22−222−2−222−20000000000000000
χ5822-2-2-22-22-22-2200000-22-22-22-2000222−2−222−2−2−2−222−2−2220000-2200-22002-2002-200−22−222−22−2−222−2−222−22−2−222−2−220000000000000000
χ5922-2-2-22-22-22-2200000-22-22-22-20002−2−222−2−22222−2−222−2−200002-2002-200-2200-22002−22−2−22−22−222−2−222−22−2−222−2−220000000000000000
χ6022-2-2-22-22-22-2200000-22-22-22-20002−2−222−2−22222−2−222−2−20000-2200-22002-2002-2002−22−2−22−222−2−222−2−22−222−2−222−20000000000000000
χ612-22-2-2-2222-2-22000002-2-22-2-22000222−2−2−2−22222−2−2−2−2220000002-200-22002-200-222−2−222−2−222−22−2−22−222−22−2−22−220000000000000000
χ622-22-2-2-2222-2-22000002-2-22-2-22000222−2−2−2−22222−2−2−2−222000000-22002-200-22002-22−2−222−2−22−22−222−22−2−22−222−22−20000000000000000
χ632-22-2-2-2222-2-22000002-2-22-2-220002−2−22222−2−2−2−22222−2−20000002-200-22002-200-22−222−2−222−2−22−222−22−2−22−222−22−20000000000000000
χ642-22-2-2-2222-2-22000002-2-22-2-220002−2−22222−2−2−2−22222−2−2000000-22002-200-22002-2−222−2−222−22−22−2−22−222−22−2−22−220000000000000000
χ652-22-2-2-2222-2-2200000-222-222-2000-222−2−2−2−22222−2−2−2−22200002i−2i00−2i2i002i−2i00−2i2i00−222−2−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ662-22-2-2-2222-2-2200000-222-222-2000-222−2−2−2−22222−2−2−2−2220000−2i2i002i−2i00−2i2i002i−2i00−222−2−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ672-22-2-2-2222-2-2200000-222-222-2000-2−2−22222−2−2−2−22222−2−200002i−2i00−2i2i002i−2i00−2i2i002−2−222−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ682-22-2-2-2222-2-2200000-222-222-2000-2−2−22222−2−2−2−22222−2−20000−2i2i002i−2i00−2i2i002i−2i002−2−222−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ692-22-2-2-222-222-2000002-2-2-222-2000222−2−2−2−222−2−22222−2−20000002-200-2200-22002-22−2−22−222−22−22−2−22−22−22−222−22−20000000000000000
χ702-22-2-2-222-222-2000002-2-2-222-2000222−2−2−2−222−2−22222−2−2000000-22002-2002-200-222−2−22−222−2−22−222−22−22−22−2−22−220000000000000000
χ712-22-2-2-222-222-2000002-2-2-222-20002−2−22222−2−222−2−2−2−2220000002-200-2200-22002-2−222−22−2−22−22−222−22−22−22−2−22−220000000000000000
χ722-22-2-2-222-222-2000002-2-2-222-20002−2−22222−2−222−2−2−2−222000000-22002-2002-200-22−222−22−2−222−22−2−22−22−22−222−22−20000000000000000
χ732-22-2-2-222-222-200000-2222-2-22000-222−2−2−2−222−2−22222−2−200002i−2i00−2i2i00−2i2i002i−2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ742-22-2-2-222-222-200000-2222-2-22000-222−2−2−2−222−2−22222−2−20000−2i2i002i−2i002i−2i00−2i2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ752-22-2-2-222-222-200000-2222-2-22000-2−2−22222−2−222−2−2−2−22200002i−2i00−2i2i00−2i2i002i−2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ762-22-2-2-222-222-200000-2222-2-22000-2−2−22222−2−222−2−2−2−2220000−2i2i002i−2i002i−2i00−2i2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ772-2-222-2-2222-2-22-2-22222-222-2-2-2-22-20000000000000000-22-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ782-2-222-2-2222-2-22-2-22222-222-2-2-2-22-20000000000000000-22-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ792-2-222-2-2222-2-22-2-222-2-22-2-222-2-22200000000000000002-22-200000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ802-2-222-2-2222-2-22-2-222-2-22-2-222-2-22200000000000000002-22-2000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ812-2-222-2-2222-2-2-222-2-2-2-22-2-22222-222222-2-2-2-22222-2-2-2-2-22-220000000000000000-2-222-2-22200000000000000000000000000000000
χ822-2-222-2-2222-2-2-222-2-2-2-22-2-22222-22-2-2-2-22222-2-2-2-22222-22-22000000000000000022-2-222-2-200000000000000000000000000000000
χ832-2-222-2-22-2-222222-2-222-2-2-222-2-22-20000000000000000-222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ842-2-222-2-22-2-222222-2-222-2-2-222-2-22-20000000000000000-222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ852-2-222-2-22-2-222222-2-2-2-2222-2-2-2-22200000000000000002-2-2200000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ862-2-222-2-22-2-222222-2-2-2-2222-2-2-2-22200000000000000002-2-22000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ872-2-222-2-22-2-222-2-2-222-2-2222-2-222-222222-2-2-2-2-2-2-2-22222-222-20000000000000000-2-22222-2-200000000000000000000000000000000
χ882-2-222-2-22-2-222-2-2-222-2-2222-2-222-22-2-2-2-222222222-2-2-2-2-222-2000000000000000022-2-2-2-22200000000000000000000000000000000
χ894444-4-4-4-400004000000000004-4-404-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-400004000000000004-4-40-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-40000-400000000000-4440000000004i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-40000-400000000000-444000000000−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-44-4000004i−4i4i−4i0000000000022−22−222222−22−22222i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-44-4000004i−4i4i−4i00000000000−222222−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-44-400000−4i4i−4i4i0000000000022−22−222222−22−2222−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-44-400000−4i4i−4i4i00000000000−222222−22−222222−222i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ974-44-444-4-4000004i−4i−4i4i0000000000022−22−2222−222222−222i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ984-44-444-4-4000004i−4i−4i4i00000000000−222222−2222−22−2222−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ994-44-444-4-400000−4i4i4i−4i0000000000022−22−2222−222222−22−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1004-44-444-4-400000−4i4i4i−4i00000000000−222222−2222−22−22222i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-40000400000000000-44-40000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-40000400000000000-44-4000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-40000-4000000000004-4404-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-40000-4000000000004-440-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000

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