Finite Group Databasebeta

← Group #72222839

Character table — Group #72222839

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111113333333344121216161616161616161616161616161616161616161616161616161616242424242424242424242424242424242424242448484848484864646464646464646464646464646464646464646464646464646464
order122222222222222244442233444444444466666666666666222244444444444444442244446666121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111−1−i32−1+i321111111111−1−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+i3211111111111111111111111111−1−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+i3211-1-1-1-1-1-1-1-1−1−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+i32-1-1-1-1111111111111-1-1-1-1-1-111-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ51111111111111111111111−1+i32−1−i321111111111−1+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−i3211111111111111111111111111−1+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−i3211-1-1-1-1-1-1-1-1−1+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−i32-1-1-1-1111111111111-1-1-1-1-1-111-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ711111111111111111111-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ911111111111111111111-1-1−1−i32−1+i32-1-11111-1-1-1-1−1−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+i32111111111111-1-1-1-1-1-1-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1011111111111111111111-1-1−1−i32−1+i32-1-1-1-1-1-11111−1−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+i32-1-1-1-111111111-1-1-1-11111-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1111111111111111111111-1-1−1+i32−1−i32-1-11111-1-1-1-1−1+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−i32111111111111-1-1-1-1-1-1-1-111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1211111111111111111111-1-1−1+i32−1−i32-1-1-1-1-1-11111−1+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−i32-1-1-1-111111111-1-1-1-11111-1-1-1-1111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131111111111111111-1-1-1-11111-1-111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ141111111111111111-1-1-1-11111-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ151111111111111111-1-1-1-111−1−i32−1+i32-1-111-1-111-1-1−1−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+i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ161111111111111111-1-1-1-111−1−i32−1+i32-1-1-1-111-1-111−1−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+i32-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ171111111111111111-1-1-1-111−1+i32−1−i32-1-111-1-111-1-1−1+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−i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ181111111111111111-1-1-1-111−1+i32−1−i32-1-1-1-111-1-111−1+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−i32-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ191111111111111111-1-1-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ201111111111111111-1-1-1-1-1-11111-1-11111-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ211111111111111111-1-1-1-1-1-1−1−i32−1+i321111-1-1-1-111−1−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+i3211111111-1-1-1-111111111-1-1-1-1-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ221111111111111111-1-1-1-1-1-1−1−i32−1+i3211-1-11111-1-1−1−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+i32-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ231111111111111111-1-1-1-1-1-1−1+i32−1−i321111-1-1-1-111−1+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−i3211111111-1-1-1-111111111-1-1-1-1-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ241111111111111111-1-1-1-1-1-1−1+i32−1−i3211-1-11111-1-1−1+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−i32-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ25222-2-22-2-2222-2-22-2-2000000222i−2i0000000022-2-222-2-22-2-22-2-2000022-2-200002i2i−2i−2i00000000000000002i−2i002i−2i0000000000000000
χ26222-2-22-2-2222-2-22-2-200000022−2i2i0000000022-2-222-2-22-2-22-2-2000022-2-20000−2i−2i2i2i0000000000000000−2i2i00−2i2i0000000000000000
χ27222-2-22-2-2222-2-22-2-2000000−1−i3−1+i32i−2i00000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3000022-2-200002i2i−2i−2i00000000000000002ζ11−2ζ11002ζ7−2ζ70000000000000000
χ28222-2-22-2-2222-2-22-2-2000000−1−i3−1+i3−2i2i00000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3000022-2-20000−2i−2i2i2i0000000000000000−2ζ112ζ1100−2ζ72ζ70000000000000000
χ29222-2-22-2-2222-2-22-2-2000000−1+i3−1−i32i−2i00000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3000022-2-200002i2i−2i−2i00000000000000002ζ7−2ζ7002ζ11−2ζ110000000000000000
χ30222-2-22-2-2222-2-22-2-2000000−1+i3−1−i3−2i2i00000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3000022-2-20000−2i−2i2i2i0000000000000000−2ζ72ζ700−2ζ112ζ110000000000000000
χ312-2-22-222-22-2-22-222-200000022002-2000000-2-22-2-2-22-222-222-222-2-22-22-20000000000000000000000000000002-20000002-2000000
χ322-2-22-222-22-2-22-222-20000002200-22000000-2-22-2-2-22-222-222-2-2-2222-22-2000000000000000000000000000000-22000000-22000000
χ332-2-22-222-22-2-22-222-2000000−1−i3−1+i3002-20000001+i31+i3−1−i31+i31−i31−i3−1+i31−i3−1−i3−1−i31+i3−1+i3−1+i31−i322-2-22-22-2000000000000000000000000000000−1−i31+i3000000−1+i31−i3000000
χ342-2-22-222-22-2-22-222-2000000−1−i3−1+i300-220000001+i31+i3−1−i31+i31−i31−i3−1+i31−i3−1−i3−1−i31+i3−1+i3−1+i31−i3-2-2222-22-20000000000000000000000000000001+i3−1−i30000001−i3−1+i3000000
χ352-2-22-222-22-2-22-222-2000000−1+i3−1−i3002-20000001−i31−i3−1+i31−i31+i31+i3−1−i31+i3−1+i3−1+i31−i3−1−i3−1−i31+i322-2-22-22-2000000000000000000000000000000−1+i31−i3000000−1−i31+i3000000
χ362-2-22-222-22-2-22-222-2000000−1+i3−1−i300-220000001−i31−i3−1+i31−i31+i31+i3−1−i31+i3−1+i3−1+i31−i3−1−i3−1−i31+i3-2-2222-22-20000000000000000000000000000001−i3−1+i30000001+i3−1−i3000000
χ372-2-2-222-222-2-2-222-2200000022000000002-2-2-2-22-2-2-222-222-2200002-2-220000000022-2-20000000000000000000000002-20000002-2
χ382-2-2-222-222-2-2-222-220000002200000000-22-2-2-22-2-2-222-222-2200002-2-2200000000-2-222000000000000000000000000-22000000-22
χ392-2-2-222-222-2-2-222-22000000−1−i3−1+i3000000002-21+i31+i31+i3−1−i31−i31−i31−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i300002-2-220000000022-2-2000000000000000000000000−1−i31+i3000000−1+i31−i3
χ402-2-2-222-222-2-2-222-22000000−1−i3−1+i300000000-221+i31+i31+i3−1−i31−i31−i31−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i300002-2-2200000000-2-2220000000000000000000000001+i3−1−i30000001−i3−1+i3
χ412-2-2-222-222-2-2-222-22000000−1+i3−1−i3000000002-21−i31−i31−i3−1+i31+i31+i31+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i300002-2-220000000022-2-2000000000000000000000000−1+i31−i3000000−1−i31+i3
χ422-2-2-222-222-2-2-222-22000000−1+i3−1−i300000000-221−i31−i31−i3−1+i31+i31+i31+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i300002-2-2200000000-2-2220000000000000000000000001−i3−1+i30000001+i3−1−i3
χ43333333333333333333333300333333333300000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ4433333333333333333333330033-3-3-3-3-3-3-3-3000000000000001111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1110000000000000000000000000000
χ4533333333333333333333-3-300-3-33333-3-3-3-300000000000000-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111110000000000000000000000000000
χ4633333333333333333333-3-300-3-3-3-3-3-33333000000000000001111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-10000000000000000000000000000
χ473333333333333333-3-3-3-33300-3-333-3-333-3-300000000000000-1-1-1-1-1-1-1-111111111111111-1-1-1-10000000000000000000000000000
χ483333333333333333-3-3-3-33300-3-3-3-333-3-333000000000000001111-1-1-1-111111111-1-1-1-1-1-1-1-1110000000000000000000000000000
χ493333333333333333-3-3-3-3-3-3003333-3-3-3-33300000000000000-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111110000000000000000000000000000
χ503333333333333333-3-3-3-3-3-30033-3-33333-3-3000000000000001111-1-1-1-11111-1-1-1-11111-1-111-1-10000000000000000000000000000
χ5144-444-4-4-444-4-4-4-44400004-4-2-200000000002-2-2-22-2-2-2222222000000000000000000000000002-22-2000000000000000000000000
χ5244-444-4-4-444-4-4-4-44400004-41+i31−i30000000000−1−i31+i31+i31+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300000000000000000000000000−1−i31+i3−1+i31−i3000000000000000000000000
χ5344-444-4-4-444-4-4-4-44400004-41−i31+i30000000000−1+i31−i31−i31−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300000000000000000000000000−1+i31−i3−1−i31+i3000000000000000000000000
χ5444-444-4-4-444-4-4-4-4440000-44-2-200000000002-2-2-22-2-2-222222200000000000000000000000000-22-22000000000000000000000000
χ5544-444-4-4-444-4-4-4-4440000-441+i31−i30000000000−1−i31+i31+i31+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000000000001+i3−1−i31−i3−1+i3000000000000000000000000
χ5644-444-4-4-444-4-4-4-4440000-441−i31+i30000000000−1+i31−i31−i31−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000000000001−i3−1+i31+i3−1−i3000000000000000000000000
χ5744-4-4-4-44444-444-4-4-44-44-400-2-200000000002-2222-2222-2-22-2-20000000000000000000000000000002-2002-2000000000000000000
χ5844-4-4-4-44444-444-4-4-44-44-4001+i31−i30000000000−1−i31+i3−1−i3−1−i3−1+i31−i3−1+i3−1+i3−1−i31+i31+i3−1+i31−i31−i3000000000000000000000000000000−1−i31+i300−1+i31−i3000000000000000000
χ5944-4-4-4-44444-444-4-4-44-44-4001−i31+i30000000000−1+i31−i3−1+i3−1+i3−1−i31+i3−1−i3−1−i3−1+i31−i31−i3−1−i31+i31+i3000000000000000000000000000000−1+i31−i300−1−i31+i3000000000000000000
χ6044-4-4-4-44444-444-4-4-4-44-4400-2-200000000002-2222-2222-2-22-2-2000000000000000000000000000000-2200-22000000000000000000
χ6144-4-4-4-44444-444-4-4-4-44-44001+i31−i30000000000−1−i31+i3−1−i3−1−i3−1+i31−i3−1+i3−1+i3−1−i31+i31+i3−1+i31−i31−i30000000000000000000000000000001+i3−1−i3001−i3−1+i3000000000000000000
χ6244-4-4-4-44444-444-4-4-4-44-44001−i31+i30000000000−1+i31−i3−1+i3−1+i3−1−i31+i3−1−i3−1−i3−1+i31−i31−i3−1−i31+i31+i30000000000000000000000000000001−i3−1+i3001+i3−1−i3000000000000000000
χ634-444-4-4-444-44-44-44-4000000-2-20000004i−4i00-22-22-22-2222-222-20000000000000000000000000000000000000000002i−2i0000002i−2i00
χ644-444-4-4-444-44-44-44-4000000-2-2000000−4i4i00-22-22-22-2222-222-2000000000000000000000000000000000000000000−2i2i000000−2i2i00
χ654-444-4-4-444-44-44-44-40000001+i31−i30000004i−4i001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i30000000000000000000000000000000000000000002ζ11−2ζ110000002ζ7−2ζ700
χ664-444-4-4-444-44-44-44-40000001+i31−i3000000−4i4i001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i3000000000000000000000000000000000000000000−2ζ112ζ11000000−2ζ72ζ700
χ674-444-4-4-444-44-44-44-40000001−i31+i30000004i−4i001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i30000000000000000000000000000000000000000002ζ7−2ζ70000002ζ11−2ζ1100
χ684-444-4-4-444-44-44-44-40000001−i31+i3000000−4i4i001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i3000000000000000000000000000000000000000000−2ζ72ζ7000000−2ζ112ζ1100
χ694-44-44-44-44-444-4-4-44000000-2-200004i−4i0000-222-2-222-22-222-2200000000000000000000000000000000000000002i−2i0000002i−2i0000
χ704-44-44-44-44-444-4-4-44000000-2-20000−4i4i0000-222-2-222-22-222-220000000000000000000000000000000000000000−2i2i000000−2i2i0000
χ714-44-44-44-44-444-4-4-440000001+i31−i300004i−4i00001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i3−1−i31+i3−1−i3−1+i31−i3−1+i300000000000000000000000000000000000000002ζ11−2ζ110000002ζ7−2ζ70000
χ724-44-44-44-44-444-4-4-440000001+i31−i30000−4i4i00001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i3−1−i31+i3−1−i3−1+i31−i3−1+i30000000000000000000000000000000000000000−2ζ112ζ11000000−2ζ72ζ70000
χ734-44-44-44-44-444-4-4-440000001−i31+i300004i−4i00001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3−1+i31−i3−1+i3−1−i31+i3−1−i300000000000000000000000000000000000000002ζ7−2ζ70000002ζ11−2ζ110000
χ744-44-44-44-44-444-4-4-440000001−i31+i30000−4i4i00001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3−1+i31−i3−1+i3−1−i31+i3−1−i30000000000000000000000000000000000000000−2ζ72ζ7000000−2ζ112ζ110000
χ75666-6-66-6-6666-6-66-6-6000000006i−6i00000000000000000000000000-2-2220000−2i−2i2i2i00000000000000000000000000000000000000
χ76666-6-66-6-6666-6-66-6-600000000−6i6i00000000000000000000000000-2-22200002i2i−2i−2i00000000000000000000000000000000000000
χ7766-6-6-6-666-2-22-2-22226-6-2200000000000000000000000000002-22-2000000002-22-22-22-22-22-22-20000000000000000000000000000
χ7866-6-6-6-666-2-22-2-22226-6-2200000000000000000000000000002-22-200000000-22-22-22-222-2-22-220000000000000000000000000000
χ7966-6-6-6-666-2-22-2-22226-6-220000000000000000000000000000-22-22000000002-22-2-22-22-222-2-220000000000000000000000000000
χ8066-6-6-6-666-2-22-2-22226-6-220000000000000000000000000000-22-2200000000-22-222-22-2-22-222-20000000000000000000000000000
χ8166-6-6-6-666-2-22-2-2222-662-200000000000000000000000000002-22-2000000002-22-22-22-2-22-22-220000000000000000000000000000
χ8266-6-6-6-666-2-22-2-2222-662-200000000000000000000000000002-22-200000000-22-22-22-22-222-22-20000000000000000000000000000
χ8366-6-6-6-666-2-22-2-2222-662-20000000000000000000000000000-22-22000000002-22-2-22-222-2-222-20000000000000000000000000000
χ8466-6-6-6-666-2-22-2-2222-662-20000000000000000000000000000-22-2200000000-22-222-22-22-22-2-220000000000000000000000000000
χ856-6-66-666-66-6-66-666-600000000006-600000000000000000000-2-222-22-220000000000000000000000000000000000000000000000
χ866-6-66-666-66-6-66-666-60000000000-660000000000000000000022-2-2-22-220000000000000000000000000000000000000000000000
χ876-6-6-666-666-6-6-666-6600000000000000006-6000000000000000000-222-200000000-2-2220000000000000000000000000000000000
χ886-6-6-666-666-6-6-666-660000000000000000-66000000000000000000-222-20000000022-2-20000000000000000000000000000000000
χ891212121212121212-4-4-4-4-4-4-4-41212-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ901212121212121212-4-4-4-4-4-4-4-4-12-12440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ91121212-12-1212-12-12-4-4-444-444000000000000000000000000000000000000000044-4-4000000000000000000000000000000000000000000
χ92121212-12-1212-12-12-4-4-444-4440000000000000000000000000000000000000000-4-444000000000000000000000000000000000000000000
χ931212-121212-12-12-12-4-44444-4-4000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000
χ941212-121212-12-12-12-4-44444-4-400000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000
χ9512-121212-12-12-1212-44-44-44-440000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000
χ9612-121212-12-12-1212-44-44-44-44000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000
χ9712-1212-1212-1212-12-44-4-4444-4000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ9812-1212-1212-1212-12-44-4-4444-400000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000
χ9912-12-1212-121212-12-444-44-4-4400000000000000000000000000000000000000004-44-4000000000000000000000000000000000000000000
χ10012-12-1212-121212-12-444-44-4-440000000000000000000000000000000000000000-44-44000000000000000000000000000000000000000000
χ10112-12-12-121212-1212-4444-4-44-400000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ10212-12-12-121212-1212-4444-4-44-40000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000

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