Finite Group Databasebeta

← Group #21521

Character table — Group #21521

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111222222222222228888111122222222222222888811112222222222222288881111222222222222228888
order1222224444888888882244444444444488888888444422222244448888888822444444444444888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ31111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-1
χ41111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-11
χ51111-1-11-1-111111-1-1-1-111-1-11111-1-11-1-111111-1-1-1-111-1-11111-1-11-1-111111-1-1-1-111-1-11111-1-11-1-111111-1-1-1-111-1-1
χ61111-1-11-1-111111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-111
χ71111-1-11-1-11-1-1-1-111111-1-111111-1-11-1-11-1-1-1-111111-1-111111-1-11-1-11-1-1-1-111111-1-111111-1-11-1-11-1-1-1-111111-1-11
χ81111-1-11-1-11-1-1-1-11111-111-11111-1-11-1-11-1-1-1-11111-111-11111-1-11-1-11-1-1-1-11111-111-11111-1-11-1-11-1-1-1-11111-111-1
χ9222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000
χ102222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000
χ1122-2-20002i−2i022−2−2i2i2−i2−i2000022-2-20002i−2i022−2−2i2i2−i2−i2000022-2-20002i−2i022−2−2i2i2−i2−i2000022-2-20002i−2i022−2−2i2i2−i2−i20000
χ1222-2-20002i−2i0−2−222−i2−i2i2i2000022-2-20002i−2i0−2−222−i2−i2i2i2000022-2-20002i−2i0−2−222−i2−i2i2i2000022-2-20002i−2i0−2−222−i2−i2i2i20000
χ1322-2-2000−2i2i022−2−2−i2−i2i2i2000022-2-2000−2i2i022−2−2−i2−i2i2i2000022-2-2000−2i2i022−2−2−i2−i2i2i2000022-2-2000−2i2i022−2−2−i2−i2i2i20000
χ1422-2-2000−2i2i0−2−222i2i2−i2−i2000022-2-2000−2i2i0−2−222i2i2−i2−i2000022-2-2000−2i2i0−2−222i2i2−i2−i2000022-2-2000−2i2i0−2−222i2i2−i2−i20000
χ152-22-200200-200002i−2i2i−2i00002-22-200200-200002i−2i2i−2i00002-22-200200-200002i−2i2i−2i00002-22-200200-200002i−2i2i−2i0000
χ162-22-200200-20000−2i2i−2i2i00002-22-200200-20000−2i2i−2i2i00002-22-200200-20000−2i2i−2i2i00002-22-200200-20000−2i2i−2i2i0000
χ172-22-200-20022-22-2000000002-22-200-20022-22-2000000002-22-200-20022-22-2000000002-22-200-20022-22-200000000
χ182-22-200-2002-22-22000000002-22-200-2002-22-22000000002-22-200-2002-22-22000000002-22-200-2002-22-2200000000
χ192-2-222-200002−2−222−2−2200002-2-222-200002−2−222−2−2200002-2-222-200002−2−222−2−2200002-2-222-200002−2−222−2−220000
χ202-2-222-20000−222−2−222−200002-2-222-20000−222−2−222−200002-2-222-20000−222−2−222−200002-2-222-20000−222−2−222−20000
χ212-2-22-2200002−2−22−222−200002-2-22-2200002−2−22−222−200002-2-22-2200002−2−22−222−200002-2-22-2200002−2−22−222−20000
χ222-2-22-220000−222−22−2−2200002-2-22-220000−222−22−2−2200002-2-22-220000−222−22−2−2200002-2-22-220000−222−22−2−220000
χ231111111111111111111111iiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ24111111111111111111-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ251111111111-1-1-1-1-1-1-1-11-11-1iiiiiiiiii−i−i−i−i−i−i−i−ii−ii−i-1-1-1-1-1-1-1-1-1-111111111-11-11−i−i−i−i−i−i−i−i−i−iiiiiiiii−ii−ii
χ261111111111-1-1-1-1-1-1-1-1-11-11iiiiiiiiii−i−i−i−i−i−i−i−i−ii−ii-1-1-1-1-1-1-1-1-1-1111111111-11-1−i−i−i−i−i−i−i−i−i−iiiiiiiiii−ii−i
χ271111-1-11-1-111111-1-1-1-111-1-1iiii−i−ii−i−iiiiii−i−i−i−iii−i−i-1-1-1-111-111-1-1-1-1-11111-1-111−i−i−i−iii−iii−i−i−i−i−iiiii−i−iii
χ281111-1-11-1-111111-1-1-1-1-1-111iiii−i−ii−i−iiiiii−i−i−i−i−i−iii-1-1-1-111-111-1-1-1-1-1111111-1-1−i−i−i−iii−iii−i−i−i−i−iiiiiii−i−i
χ291111-1-11-1-11-1-1-1-111111-1-11iiii−i−ii−i−ii−i−i−i−iiiiii−i−ii-1-1-1-111-111-11111-1-1-1-1-111-1−i−i−i−iii−iii−iiiii−i−i−i−i−iii−i
χ301111-1-11-1-11-1-1-1-11111-111-1iiii−i−ii−i−ii−i−i−i−iiiii−iii−i-1-1-1-111-111-11111-1-1-1-11-1-11−i−i−i−iii−iii−iiiii−i−i−i−ii−i−ii
χ31222222-2-2-2-20000000000002i2i2i2i2i2i−2i−2i−2i−2i000000000000-2-2-2-2-2-22222000000000000−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000
χ322222-2-2-222-20000000000002i2i2i2i−2i−2i−2i2i2i−2i000000000000-2-2-2-2222-2-22000000000000−2i−2i−2i−2i2i2i2i−2i−2i2i000000000000
χ3322-2-20002i−2i022−2−2i2i2−i2−i200002i2i−2i−2i000-220i2i2−i2−i2−2−2220000-2-222000−2i2i0−2−222−i2−i2i2i20000−2i−2i2i2i0002-20−i2−i2i2i222−2−20000
χ3422-2-20002i−2i0−2−222−i2−i2i2i200002i2i−2i−2i000-220−i2−i2i2i222−2−20000-2-222000−2i2i022−2−2i2i2−i2−i20000−2i−2i2i2i0002-20i2i2−i2−i2−2−2220000
χ3522-2-2000−2i2i022−2−2−i2−i2i2i200002i2i−2i−2i0002-20i2i2−i2−i222−2−20000-2-2220002i−2i0−2−222i2i2−i2−i20000−2i−2i2i2i000-220−i2−i2i2i2−2−2220000
χ3622-2-2000−2i2i0−2−222i2i2−i2−i200002i2i−2i−2i0002-20−i2−i2i2i2−2−2220000-2-2220002i−2i022−2−2−i2−i2i2i20000−2i−2i2i2i000-220i2i2−i2−i222−2−20000
χ372-22-200200-200002i−2i2i−2i00002i−2i2i−2i002i00−2i0000-22-220000-22-2200-20020000−2i2i−2i2i0000−2i2i−2i2i00−2i002i00002-22-20000
χ382-22-200200-20000−2i2i−2i2i00002i−2i2i−2i002i00−2i00002-22-20000-22-2200-200200002i−2i2i−2i0000−2i2i−2i2i00−2i002i0000-22-220000
χ392-22-200-20022-22-2000000002i−2i2i−2i00−2i002i2i−2i2i−2i00000000-22-2200200-2-22-2200000000−2i2i−2i2i002i00−2i−2i2i−2i2i00000000
χ402-22-200-2002-22-22000000002i−2i2i−2i00−2i002i−2i2i−2i2i00000000-22-2200200-22-22-200000000−2i2i−2i2i002i00−2i2i−2i2i−2i00000000
χ412-2-222-200002−2−222−2−2200002i−2i−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i20000-222-2-220000−222−2−222−20000−2i2i2i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i20000
χ422-2-222-20000−222−2−222−200002i−2i−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i20000-222-2-2200002−2−222−2−220000−2i2i2i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i20000
χ432-2-22-2200002−2−22−222−200002i−2i−2i2i−2i2i0000i2−i2−i2i2−i2i2i2−i20000-222-22-20000−222−22−2−220000−2i2i2i−2i2i−2i0000−i2i2i2−i2i2−i2−i2i20000
χ442-2-22-220000−222−22−2−2200002i−2i−2i2i−2i2i0000−i2i2i2−i2i2−i2−i2i20000-222-22-200002−2−22−222−20000−2i2i2i−2i2i−2i0000i2−i2−i2i2−i2i2i2−i20000
χ451111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ46111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ471111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111-11-111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ481111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111-11-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ491111-1-11-1-111111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-1-11111-1-1111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111
χ501111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1111111-1-11111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1111111-1-1
χ511111-1-11-1-11-1-1-1-111111-1-11-1-1-1-111-111-11111-1-1-1-1-111-11111-1-11-1-11-1-1-1-111111-1-11-1-1-1-111-111-11111-1-1-1-1-111-1
χ521111-1-11-1-11-1-1-1-11111-111-1-1-1-1-111-111-11111-1-1-1-11-1-111111-1-11-1-11-1-1-1-11111-111-1-1-1-1-111-111-11111-1-1-1-11-1-11
χ53222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000
χ542222-2-2-222-2000000000000-2-2-2-2222-2-220000000000002222-2-2-222-2000000000000-2-2-2-2222-2-22000000000000
χ5522-2-20002i−2i022−2−2i2i2−i2−i20000-2-222000−2i2i0−2−222−i2−i2i2i2000022-2-20002i−2i022−2−2i2i2−i2−i20000-2-222000−2i2i0−2−222−i2−i2i2i20000
χ5622-2-20002i−2i0−2−222−i2−i2i2i20000-2-222000−2i2i022−2−2i2i2−i2−i2000022-2-20002i−2i0−2−222−i2−i2i2i20000-2-222000−2i2i022−2−2i2i2−i2−i20000
χ5722-2-2000−2i2i022−2−2−i2−i2i2i20000-2-2220002i−2i0−2−222i2i2−i2−i2000022-2-2000−2i2i022−2−2−i2−i2i2i20000-2-2220002i−2i0−2−222i2i2−i2−i20000
χ5822-2-2000−2i2i0−2−222i2i2−i2−i20000-2-2220002i−2i022−2−2−i2−i2i2i2000022-2-2000−2i2i0−2−222i2i2−i2−i20000-2-2220002i−2i022−2−2−i2−i2i2i20000
χ592-22-200200-200002i−2i2i−2i0000-22-2200-20020000−2i2i−2i2i00002-22-200200-200002i−2i2i−2i0000-22-2200-20020000−2i2i−2i2i0000
χ602-22-200200-20000−2i2i−2i2i0000-22-2200-200200002i−2i2i−2i00002-22-200200-20000−2i2i−2i2i0000-22-2200-200200002i−2i2i−2i0000
χ612-22-200-20022-22-200000000-22-2200200-2-22-22000000002-22-200-20022-22-200000000-22-2200200-2-22-2200000000
χ622-22-200-2002-22-2200000000-22-2200200-22-22-2000000002-22-200-2002-22-2200000000-22-2200200-22-22-200000000
χ632-2-222-200002−2−222−2−220000-222-2-220000−222−2−222−200002-2-222-200002−2−222−2−220000-222-2-220000−222−2−222−20000
χ642-2-222-20000−222−2−222−20000-222-2-2200002−2−222−2−2200002-2-222-20000−222−2−222−20000-222-2-2200002−2−222−2−220000
χ652-2-22-2200002−2−22−222−20000-222-22-20000−222−22−2−2200002-2-22-2200002−2−22−222−20000-222-22-20000−222−22−2−220000
χ662-2-22-220000−222−22−2−220000-222-22-200002−2−22−222−200002-2-22-220000−222−22−2−220000-222-22-200002−2−22−222−20000
χ671111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiii
χ68111111111111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiiiiiiiii−i−i−i−i
χ691111111111-1-1-1-1-1-1-1-11-11-1−i−i−i−i−i−i−i−i−i−iiiiiiiii−ii−ii-1-1-1-1-1-1-1-1-1-111111111-11-11iiiiiiiiii−i−i−i−i−i−i−i−ii−ii−i
χ701111111111-1-1-1-1-1-1-1-1-11-11−i−i−i−i−i−i−i−i−i−iiiiiiiiii−ii−i-1-1-1-1-1-1-1-1-1-1111111111-11-1iiiiiiiiii−i−i−i−i−i−i−i−i−ii−ii
χ711111-1-11-1-111111-1-1-1-111-1-1−i−i−i−iii−iii−i−i−i−i−iiiii−i−iii-1-1-1-111-111-1-1-1-1-11111-1-111iiii−i−ii−i−iiiiii−i−i−i−iii−i−i
χ721111-1-11-1-111111-1-1-1-1-1-111−i−i−i−iii−iii−i−i−i−i−iiiiiii−i−i-1-1-1-111-111-1-1-1-1-1111111-1-1iiii−i−ii−i−iiiiii−i−i−i−i−i−iii
χ731111-1-11-1-11-1-1-1-111111-1-11−i−i−i−iii−iii−iiiii−i−i−i−i−iii−i-1-1-1-111-111-11111-1-1-1-1-111-1iiii−i−ii−i−ii−i−i−i−iiiiii−i−ii
χ741111-1-11-1-11-1-1-1-11111-111-1−i−i−i−iii−iii−iiiii−i−i−i−ii−i−ii-1-1-1-111-111-11111-1-1-1-11-1-11iiii−i−ii−i−ii−i−i−i−iiiii−iii−i
χ75222222-2-2-2-2000000000000−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000-2-2-2-2-2-222220000000000002i2i2i2i2i2i−2i−2i−2i−2i000000000000
χ762222-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i−2i−2i2i000000000000-2-2-2-2222-2-220000000000002i2i2i2i−2i−2i−2i2i2i−2i000000000000
χ7722-2-20002i−2i022−2−2i2i2−i2−i20000−2i−2i2i2i0002-20−i2−i2i2i222−2−20000-2-222000−2i2i0−2−222−i2−i2i2i200002i2i−2i−2i000-220i2i2−i2−i2−2−2220000
χ7822-2-20002i−2i0−2−222−i2−i2i2i20000−2i−2i2i2i0002-20i2i2−i2−i2−2−2220000-2-222000−2i2i022−2−2i2i2−i2−i200002i2i−2i−2i000-220−i2−i2i2i222−2−20000
χ7922-2-2000−2i2i022−2−2−i2−i2i2i20000−2i−2i2i2i000-220−i2−i2i2i2−2−2220000-2-2220002i−2i0−2−222i2i2−i2−i200002i2i−2i−2i0002-20i2i2−i2−i222−2−20000
χ8022-2-2000−2i2i0−2−222i2i2−i2−i20000−2i−2i2i2i000-220i2i2−i2−i222−2−20000-2-2220002i−2i022−2−2−i2−i2i2i200002i2i−2i−2i0002-20−i2−i2i2i2−2−2220000
χ812-22-200200-200002i−2i2i−2i0000−2i2i−2i2i00−2i002i00002-22-20000-22-2200-20020000−2i2i−2i2i00002i−2i2i−2i002i00−2i0000-22-220000
χ822-22-200200-20000−2i2i−2i2i0000−2i2i−2i2i00−2i002i0000-22-220000-22-2200-200200002i−2i2i−2i00002i−2i2i−2i002i00−2i00002-22-20000
χ832-22-200-20022-22-200000000−2i2i−2i2i002i00−2i−2i2i−2i2i00000000-22-2200200-2-22-22000000002i−2i2i−2i00−2i002i2i−2i2i−2i00000000
χ842-22-200-2002-22-2200000000−2i2i−2i2i002i00−2i2i−2i2i−2i00000000-22-2200200-22-22-2000000002i−2i2i−2i00−2i002i−2i2i−2i2i00000000
χ852-2-222-200002−2−222−2−220000−2i2i2i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i20000-222-2-220000−222−2−222−200002i−2i−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i20000
χ862-2-222-20000−222−2−222−20000−2i2i2i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i20000-222-2-2200002−2−222−2−2200002i−2i−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i20000
χ872-2-22-2200002−2−22−222−20000−2i2i2i−2i2i−2i0000−i2i2i2−i2i2−i2−i2i20000-222-22-20000−222−22−2−2200002i−2i−2i2i−2i2i0000i2−i2−i2i2−i2i2i2−i20000
χ882-2-22-220000−222−22−2−220000−2i2i2i−2i2i−2i0000i2−i2−i2i2−i2i2i2−i20000-222-22-200002−2−22−222−200002i−2i−2i2i−2i2i0000−i2i2i2−i2i2−i2−i2i20000

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