Finite Group Databasebeta

← Group #10829869

Character table — Group #10829869

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order122222344444444666666612121212121212124444444444444412121212121212121212121212121212121212121212121244444412121212121212121212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ91111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-1
χ101111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11
χ111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-11-11-1-11-11
χ121111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-11-111-11-1
χ131111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-11
χ141111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1
χ151111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1
χ161111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-11-1-11
χ1722222222222-2-2-2-2222222222222222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-22-2000022-2-222-2-200000000000000000000
χ1822222222222-2-2-2-2222222222222222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-2-220000-2-222-2-22200000000000000000000
χ192222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000-2-2-2-22222-22000022-2-2-2-22200000000000000000000
χ202222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-222222-20000-2-22222-2-200000000000000000000
χ21222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ23222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111000000000000
χ24222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ25222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-200000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3111111112-20000-1-111-1-111−i3−i3i3i3−i3−i3i3i3000000000000
χ26222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-200000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3111111112-20000-1-111-1-111i3i3−i3−i3i3i3−i3−i3000000000000
χ27222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22200000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311111111-22000011-1-111-1-1i3i3−i3−i3i3i3−i3−i3000000000000
χ28222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22200000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311111111-22000011-1-111-1-1−i3−i3i3i3−i3−i3i3i3000000000000
χ29222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ30222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ31222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1111122-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ32222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-111112222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ33222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-200000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i31111-1-1-1-1-220000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ34222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-200000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i31111-1-1-1-1-220000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ35222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-22200000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i31111-1-1-1-12-2000011-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000
χ36222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-22200000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i31111-1-1-1-12-2000011-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000
χ372222-2-2222-2-22-22-22-2-2-2-2222222-2-2-2-22-2000000000000000000000000000022-2-222-2-20000000000000000000000002200-2-20000
χ382222-2-2222-2-22-22-22-2-2-2-2222222-2-2-2-22-2000000000000000000000000000022-2-222-2-2000000000000000000000000-2-200220000
χ392222-2-2222-2-2-22-222-2-2-2-2222222-2-2-2-2-220000000000000000000000000000-2-222-2-22200000000000000000000002200-2-2000000
χ402222-2-2222-2-2-22-222-2-2-2-2222222-2-2-2-2-220000000000000000000000000000-2-222-2-2220000000000000000000000-2-20022000000
χ412222-2-22-2-2222-22-22-2-2-2-222-2-2-2-22222-22000000000000000000000000000022-2-2-2-2220000000000000000000000002-200-220000
χ422222-2-22-2-2222-22-22-2-2-2-222-2-2-2-22222-22000000000000000000000000000022-2-2-2-222000000000000000000000000-22002-20000
χ432222-2-22-2-222-22-222-2-2-2-222-2-2-2-222222-20000000000000000000000000000-2-22222-2-200000000000000000000002-200-22000000
χ442222-2-22-2-222-22-222-2-2-2-222-2-2-2-222222-20000000000000000000000000000-2-22222-2-20000000000000000000000-22002-2000000
χ452-22-22-2200002-2-22-222-2-22-200000000002i−2i2i−2i00002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-2000000002-22i−2i2i−2i000000002-22-2000000000000
χ462-22-22-2200002-2-22-222-2-22-200000000002i−2i2i−2i0000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-200000000-222i−2i2i−2i00000000-22-22000000000000
χ472-22-22-2200002-2-22-222-2-22-20000000000−2i2i−2i2i00002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-200000000-22−2i2i−2i2i00000000-22-22000000000000
χ482-22-22-2200002-2-22-222-2-22-20000000000−2i2i−2i2i0000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-2000000002-2−2i2i−2i2i000000002-22-2000000000000
χ492-22-22-220000-222-2-222-2-22-200000000002i−2i−2i2i22-2-2000022-2-222-2-200000000-22-220000002i−2i002i−2i−2i2i00002i−2i2i−2i0000000000000000
χ502-22-22-220000-222-2-222-2-22-200000000002i−2i−2i2i-2-2220000-2-222-2-22200000000-22-22000000−2i2i002i−2i−2i2i0000−2i2i−2i2i0000000000000000
χ512-22-22-220000-222-2-222-2-22-20000000000−2i2i2i−2i22-2-2000022-2-222-2-200000000-22-22000000−2i2i00−2i2i2i−2i0000−2i2i−2i2i0000000000000000
χ522-22-22-220000-222-2-222-2-22-20000000000−2i2i2i−2i-2-2220000-2-222-2-22200000000-22-220000002i−2i00−2i2i2i−2i00002i−2i2i−2i0000000000000000
χ532-22-22-2-100002-2-221-1-111-1133−3−333−3−3002i−2i2i−2i00002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii-11-113−33−300002-2−ii−ii−i3i3−i3i33−3−33-11-11000000000000
χ542-22-22-2-100002-2-221-1-111-1133−3−333−3−3002i−2i2i−2i0000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i-11-113−33−30000-22−ii−ii−i3i3−i3i3−333−31-11-1000000000000
χ552-22-22-2-100002-2-221-1-111-1133−3−333−3−300−2i2i−2i2i00002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii-11-113−33−30000-22i−ii−ii3−i3i3−i3−333−31-11-1000000000000
χ562-22-22-2-100002-2-221-1-111-1133−3−333−3−300−2i2i−2i2i0000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i-11-113−33−300002-2i−ii−ii3−i3i3−i33−3−33-11-11000000000000
χ572-22-22-2-100002-2-221-1-111-11−3−333−3−333002i−2i2i−2i00002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−iii−i−iii-11-11−33−3300002-2−ii−iii3−i3i3−i3−333−3-11-11000000000000
χ582-22-22-2-100002-2-221-1-111-11−3−333−3−333002i−2i2i−2i0000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−i-11-11−33−330000-22−ii−iii3−i3i3−i33−3−331-11-1000000000000
χ592-22-22-2-100002-2-221-1-111-11−3−333−3−33300−2i2i−2i2i00002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−iii−i−iii-11-11−33−330000-22i−ii−i−i3i3−i3i33−3−331-11-1000000000000
χ602-22-22-2-100002-2-221-1-111-11−3−333−3−33300−2i2i−2i2i0000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−i-11-11−33−3300002-2i−ii−i−i3i3−i3i3−333−3-11-11000000000000
χ612-22-22-2-10000-222-21-1-111-1133−3−333−3−3002i−2i−2i2i22-2-20000-1-111-1-11133−3−3−3−3331-11-1−33−33002i−2i00−iii−i−i3i3i3−i3−ii−ii−i3i3i3−i3000000000000
χ622-22-22-2-10000-222-21-1-111-1133−3−333−3−3002i−2i−2i2i-2-222000011-1-111-1-1−3−33333−3−31-11-1−33−3300−2i2i00−iii−i−i3i3i3−i3i−ii−ii3−i3−i3i3000000000000
χ632-22-22-2-10000-222-21-1-111-1133−3−333−3−300−2i2i2i−2i22-2-20000-1-111-1-11133−3−3−3−3331-11-1−33−3300−2i2i00i−i−iii3−i3−i3i3i−ii−ii3−i3−i3i3000000000000
χ642-22-22-2-10000-222-21-1-111-1133−3−333−3−300−2i2i2i−2i-2-222000011-1-111-1-1−3−33333−3−31-11-1−33−33002i−2i00i−i−iii3−i3−i3i3−ii−ii−i3i3i3−i3000000000000
χ652-22-22-2-10000-222-21-1-111-11−3−333−3−333002i−2i−2i2i22-2-20000-1-111-1-111−3−33333−3−31-11-13−33−3002i−2i00−iii−ii3−i3−i3i3−ii−iii3−i3−i3i3000000000000
χ662-22-22-2-10000-222-21-1-111-11−3−333−3−333002i−2i−2i2i-2-222000011-1-111-1-133−3−3−3−3331-11-13−33−300−2i2i00−iii−ii3−i3−i3i3i−ii−i−i3i3i3−i3000000000000
χ672-22-22-2-10000-222-21-1-111-11−3−333−3−33300−2i2i2i−2i22-2-20000-1-111-1-111−3−33333−3−31-11-13−33−300−2i2i00i−i−ii−i3i3i3−i3i−ii−i−i3i3i3−i3000000000000
χ682-22-22-2-10000-222-21-1-111-11−3−333−3−33300−2i2i2i−2i-2-222000011-1-111-1-133−3−3−3−3331-11-13−33−3002i−2i00i−i−ii−i3i3i3−i3−ii−iii3−i3−i3i3000000000000
χ694444-4-4-244-4-44-44-4-22222-2-2-2-2-2-222224-40000000000000000000000000000-2-222-2-2220000000000000000000000000000000000
χ704444-4-4-244-4-4-44-44-22222-2-2-2-2-2-22222-44000000000000000000000000000022-2-222-2-20000000000000000000000000000000000
χ714444-4-4-2-4-4444-44-4-22222-2-22222-2-2-2-2-440000000000000000000000000000-2-22222-2-20000000000000000000000000000000000
χ724444-4-4-2-4-444-44-44-22222-2-22222-2-2-2-24-4000000000000000000000000000022-2-2-2-2220000000000000000000000000000000000
χ7344-4-40044-400000040000-4-44-44-400000000002-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000
χ7444-4-40044-400000040000-4-44-44-40000000000-22-22-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000
χ7544-4-4004-4400000040000-4-4-44-4400000000002-22-2-22-222-22-22-22-2-22-22-22-22000000000000000000000000000000000000000000
χ7644-4-4004-4400000040000-4-4-44-440000000000-22-222-22-2-22-22-22-222-22-22-22-2000000000000000000000000000000000000000000
χ7744-4-400-24-4000000-2−2i32i3−2i32i322-22-22−2i32i3−2i32i30000002-22-22-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3000000000000000000000000000000000000000000
χ7844-4-400-24-4000000-2−2i32i3−2i32i322-22-22−2i32i3−2i32i3000000-22-22-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3000000000000000000000000000000000000000000
χ7944-4-400-24-4000000-22i3−2i32i3−2i322-22-222i3−2i32i3−2i30000002-22-22-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3000000000000000000000000000000000000000000
χ8044-4-400-24-4000000-22i3−2i32i3−2i322-22-222i3−2i32i3−2i3000000-22-22-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3000000000000000000000000000000000000000000
χ8144-4-400-2-44000000-2−2i32i3−2i32i3222-22-22i3−2i32i3−2i30000002-22-2-22-22−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3000000000000000000000000000000000000000000
χ8244-4-400-2-44000000-2−2i32i3−2i32i3222-22-22i3−2i32i3−2i3000000-22-222-22-21+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3000000000000000000000000000000000000000000
χ8344-4-400-2-44000000-22i3−2i32i3−2i3222-22-2−2i32i3−2i32i30000002-22-2-22-22−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3000000000000000000000000000000000000000000
χ8444-4-400-2-44000000-22i3−2i32i3−2i3222-22-2−2i32i3−2i32i3000000-22-222-22-21−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3000000000000000000000000000000000000000000
χ854-44-4-444000044-4-4-4-4-4444-4000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000
χ864-44-4-4440000-4-444-4-4-4444-400000000000000000000000000000000000000-444-400000000000000000000000000000000000000
χ874-44-4-44-2000044-4-4222-2-2-222323−23−23−23−232323000000000000000000000000000000-222-223−23−23230000000000000000000000000000000000
χ884-44-4-44-2000044-4-4222-2-2-22−23−2323232323−23−23000000000000000000000000000000-222-2−232323−230000000000000000000000000000000000
χ894-44-4-44-20000-4-444222-2-2-222323−23−23−23−2323230000000000000000000000000000002-2-22−232323−230000000000000000000000000000000000
χ904-44-4-44-20000-4-444222-2-2-22−23−2323232323−23−230000000000000000000000000000002-2-2223−23−23230000000000000000000000000000000000
χ914-4-44004004i−4i0000-40000-4400004i−4i−4i4i0000002-2-222i−2i−2i2i2-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ924-4-44004004i−4i0000-40000-4400004i−4i−4i4i000000-222-2−2i2i2i−2i-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ934-4-4400400−4i4i0000-40000-440000−4i4i4i−4i0000002-2-22−2i2i2i−2i2-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ944-4-4400400−4i4i0000-40000-440000−4i4i4i−4i000000-222-22i−2i−2i2i-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ954-4-4400-2004i−4i00002−2i32i32i3−2i32-223−23−2323−2i2i2i−2i0000002-2-222i−2i−2i2i−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i32ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000000000000000000000000000000000000000000
χ964-4-4400-2004i−4i00002−2i32i32i3−2i32-223−23−2323−2i2i2i−2i000000-222-2−2i2i2i−2i1+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i3−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000000000000000000000000000000000000000000
χ974-4-4400-2004i−4i000022i3−2i3−2i32i32-2−232323−23−2i2i2i−2i0000002-2-222i−2i−2i2i−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i32ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000000000000000000000000000000000000000000
χ984-4-4400-2004i−4i000022i3−2i3−2i32i32-2−232323−23−2i2i2i−2i000000-222-2−2i2i2i−2i1−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000000000000000000000000000000000000000000
χ994-4-4400-200−4i4i00002−2i32i32i3−2i32-2−232323−232i−2i−2i2i0000002-2-22−2i2i2i−2i−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i3−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000000000000000000000000000000000000000000
χ1004-4-4400-200−4i4i00002−2i32i32i3−2i32-2−232323−232i−2i−2i2i000000-222-22i−2i−2i2i1+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i32ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000000000000000000000000000000000000000000
χ1014-4-4400-200−4i4i000022i3−2i3−2i32i32-223−23−23232i−2i−2i2i0000002-2-22−2i2i2i−2i−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i3−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000000000000000000000000000000000000000000
χ1024-4-4400-200−4i4i000022i3−2i3−2i32i32-223−23−23232i−2i−2i2i000000-222-22i−2i−2i2i1−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i32ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.