Finite Group Databasebeta

← Group #13052129

Character table — Group #13052129

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111111444444666666667777777777777777121212121212121212121212282828282828282828282828282828282828282828282828282828282828282828282828
order1222222244444471414141414141433666666666666662828282828282828282828284444444412121212121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ31111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111111111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32
χ51111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111111111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32
χ71111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ81111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ91111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321−i321−i32
χ101111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-1-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ111111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321+i321+i32
χ121111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-1-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1311111111-1-111-1-1111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1
χ1411111111-1-111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111
χ1511111111-1-111-1-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-111-1-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32
χ1611111111-1-111-1-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1-1-111-1-1111+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1711111111-1-111-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-111-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32
χ1811111111-1-111-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1-1-111-1-1111−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1911111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ2011111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ2111111111-1-1-1-11111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1111111-1-1-1-111−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ2211111111-1-1-1-11111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-11111-1-11+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32
χ2311111111-1-1-1-11111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ2411111111-1-1-1-11111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-11111-1-11−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32
χ25222-22-2-2-20000002222-2-2-2-22222-222-22-2-22-2-2-2-200000000000000002-20000002-200002-20000000000000000
χ26222-22-2-2-20000002222-2-2-2-22222-222-22-2-22-2-2-2-20000000000000000-22000000-220000-220000000000000000
χ27222-22-2-2-20000002222-2-2-2-2−1−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i31+i31+i3−1+i31−i31−i31+i31−i300000000000000002-2000000−1−i31+i30000−1+i31−i30000000000000000
χ28222-22-2-2-20000002222-2-2-2-2−1−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i31+i31+i3−1+i31−i31−i31+i31−i30000000000000000-220000001+i3−1−i300001−i3−1+i30000000000000000
χ29222-22-2-2-20000002222-2-2-2-2−1+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i3−1+i31−i31−i3−1−i31+i31+i31−i31+i300000000000000002-2000000−1+i31−i30000−1−i31+i30000000000000000
χ30222-22-2-2-20000002222-2-2-2-2−1+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i3−1+i31−i31−i3−1−i31+i31+i31−i31+i30000000000000000-220000001−i3−1+i300001+i3−1−i30000000000000000
χ3122-22-22-2-200000022-2-222-2-2222-222-22-22-2-22-2-2-2000000000000002-20000002-200002-2000000000000000000
χ3222-22-22-2-200000022-2-222-2-2222-222-22-22-2-22-2-2-200000000000000-22000000-220000-22000000000000000000
χ3322-22-22-2-200000022-2-222-2-2−1−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i31−i3000000000000002-2000000−1−i31+i30000−1+i31−i3000000000000000000
χ3422-22-22-2-200000022-2-222-2-2−1−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i31−i300000000000000-220000001+i3−1−i300001−i3−1+i3000000000000000000
χ3522-22-22-2-200000022-2-222-2-2−1+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i31+i3000000000000002-2000000−1+i31−i30000−1−i31+i3000000000000000000
χ3622-22-22-2-200000022-2-222-2-2−1+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i31+i300000000000000-220000001−i3−1+i300001+i3−1−i3000000000000000000
χ3722-2-2-2-22200002-222-2-2-2-222222-2-22-2-2-2-22-2-22220000000022-2-20000000000000000000000002-200002-20000
χ3822-2-2-2-22200002-222-2-2-2-222−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i3−1−i31−i31−i3−1+i3−1−i3−1+i30000000022-2-2000000000000000000000000−1−i31+i30000−1+i31−i30000
χ3922-2-2-2-22200002-222-2-2-2-222−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i3−1+i31+i31+i3−1−i3−1+i3−1−i30000000022-2-2000000000000000000000000−1+i31−i30000−1−i31+i30000
χ4022-2-2-2-2220000-2222-2-2-2-222222-2-22-2-2-2-22-2-222200000000-2-222000000000000000000000000-220000-220000
χ4122-2-2-2-2220000-2222-2-2-2-222−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i3−1−i31−i31−i3−1+i3−1−i3−1+i300000000-2-2220000000000000000000000001+i3−1−i300001−i3−1+i30000
χ4222-2-2-2-2220000-2222-2-2-2-222−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i3−1+i31+i31+i3−1−i3−1+i3−1−i300000000-2-2220000000000000000000000001−i3−1+i300001+i3−1−i30000
χ432-222-2-22-20000002-22-22-22-222-222-222-2-22-2-22-2-20000000000002-20000002-200002-200000000000000000000
χ442-222-2-22-20000002-22-22-22-222-222-222-2-22-2-22-2-2000000000000-22000000-220000-2200000000000000000000
χ452-222-2-22-20000002-22-22-22-2−1−i3−1+i31+i3−1−i3−1−i31−i3−1+i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31−i30000000000002-2000000−1−i31+i30000−1+i31−i300000000000000000000
χ462-222-2-22-20000002-22-22-22-2−1−i3−1+i31+i3−1−i3−1−i31−i3−1+i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31−i3000000000000-220000001+i3−1−i300001−i3−1+i300000000000000000000
χ472-222-2-22-20000002-22-22-22-2−1+i3−1−i31−i3−1+i3−1+i31+i3−1−i3−1−i31−i31−i3−1+i31+i31+i3−1−i31−i31+i30000000000002-2000000−1+i31−i30000−1−i31+i300000000000000000000
χ482-222-2-22-20000002-22-22-22-2−1+i3−1−i31−i3−1+i3−1+i31+i3−1−i3−1−i31−i31−i3−1+i31+i31+i3−1−i31−i31+i3000000000000-220000001−i3−1+i300001+i3−1−i300000000000000000000
χ492-22-2-22-22002-2002-22-2-22-2222-22-2-22-2-22-2-22-222000022-2-2000000000000000000000000002-200002-2000000
χ502-22-2-22-22002-2002-22-2-22-22−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i3−1−i3−1+i3000022-2-200000000000000000000000000−1−i31+i30000−1+i31−i3000000
χ512-22-2-22-22002-2002-22-2-22-22−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i3−1+i3−1−i3000022-2-200000000000000000000000000−1+i31−i30000−1−i31+i3000000
χ522-22-2-22-2200-22002-22-2-22-2222-22-2-22-2-22-2-22-2220000-2-22200000000000000000000000000-220000-22000000
χ532-22-2-22-2200-22002-22-2-22-22−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i3−1−i3−1+i30000-2-222000000000000000000000000001+i3−1−i300001−i3−1+i3000000
χ542-22-2-22-2200-22002-22-2-22-22−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i3−1+i3−1−i30000-2-222000000000000000000000000001−i3−1+i300001+i3−1−i3000000
χ552-2-222-2-222-200002-2-222-2-2222-2-22-2-222-2-22-2-22222-2-200000000000000000000000000002-200002-200000000
χ562-2-222-2-222-200002-2-222-2-22−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1+i322-2-20000000000000000000000000000−1−i31+i30000−1+i31−i300000000
χ572-2-222-2-222-200002-2-222-2-22−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1−i322-2-20000000000000000000000000000−1+i31−i30000−1−i31+i300000000
χ582-2-222-2-22-2200002-2-222-2-2222-2-22-2-222-2-22-2-222-2-2220000000000000000000000000000-220000-2200000000
χ592-2-222-2-22-2200002-2-222-2-22−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1+i3-2-22200000000000000000000000000001+i3−1−i300001−i3−1+i300000000
χ602-2-222-2-22-2200002-2-222-2-22−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1−i3-2-22200000000000000000000000000001−i3−1+i300001+i3−1−i300000000
χ612-2-2-2222-20000002-2-22-222-222-2-2-2-2-2-2222222-2-20000000000000000002i−2i0000000000000000000000002i−2i2i−2i
χ622-2-2-2222-20000002-2-22-222-222-2-2-2-2-2-2222222-2-2000000000000000000−2i2i000000000000000000000000−2i2i−2i2i
χ632-2-2-2222-20000002-2-22-222-2−1−i3−1+i31+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i30000000000000000002i−2i0000000000000000000000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79
χ642-2-2-2222-20000002-2-22-222-2−1−i3−1+i31+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i3000000000000000000−2i2i000000000000000000000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79
χ652-2-2-2222-20000002-2-22-222-2−1+i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i30000000000000000002i−2i0000000000000000000000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83
χ662-2-2-2222-20000002-2-22-222-2−1+i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i3000000000000000000−2i2i000000000000000000000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83
χ6766666666666666-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ686666666666-6-6-6-6-1-1-1-1-1-1-1-10000000000000000-1-1-1-111111111000000000000000000000000000000000000
χ6966666666-6-666-6-6-1-1-1-1-1-1-1-100000000000000001111-1-1-1-11111000000000000000000000000000000000000
χ7066666666-6-6-6-666-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1000000000000000000000000000000000000
χ7166-6-6-6-66600006-6-1-11111-1-10000000000000000−i7i7−i7i7−i7i7−i7i7-1-111000000000000000000000000000000000000
χ7266-6-6-6-66600006-6-1-11111-1-10000000000000000i7−i7i7−i7i7−i7i7−i7-1-111000000000000000000000000000000000000
χ7366-6-6-6-6660000-66-1-11111-1-10000000000000000−i7i7−i7i7i7−i7i7−i711-1-1000000000000000000000000000000000000
χ7466-6-6-6-6660000-66-1-11111-1-10000000000000000i7−i7i7−i7−i7i7−i7i711-1-1000000000000000000000000000000000000
χ756-66-6-66-66006-600-11-111-11-10000000000000000−i7i7i7−i7-1-111−i7i7−i7i7000000000000000000000000000000000000
χ766-66-6-66-66006-600-11-111-11-10000000000000000i7−i7−i7i7-1-111i7−i7i7−i7000000000000000000000000000000000000
χ776-66-6-66-6600-6600-11-111-11-10000000000000000−i7i7i7−i711-1-1i7−i7i7−i7000000000000000000000000000000000000
χ786-66-6-66-6600-6600-11-111-11-10000000000000000i7−i7−i7i711-1-1−i7i7−i7i7000000000000000000000000000000000000
χ796-6-666-6-666-60000-111-1-111-10000000000000000-1-111−i7i7i7−i7−i7i7i7−i7000000000000000000000000000000000000
χ806-6-666-6-666-60000-111-1-111-10000000000000000-1-111i7−i7−i7i7i7−i7−i7i7000000000000000000000000000000000000
χ816-6-666-6-66-660000-111-1-111-1000000000000000011-1-1−i7i7i7−i7i7−i7−i7i7000000000000000000000000000000000000
χ826-6-666-6-66-660000-111-1-111-1000000000000000011-1-1i7−i7−i7i7−i7i7i7−i7000000000000000000000000000000000000
χ83121212-1212-12-12-12000000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ841212-1212-1212-12-12000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ8512-121212-12-1212-12000000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000
χ8612-12-12-12121212-12000000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.