Finite Group Databasebeta

← Group #10628819

Character table — Group #10628819

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111111111222222444444444444444444888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222336666664412121212244444661212121212121212121244441212121212121212222444666666888888121212121212242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111
χ91111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−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
χ101111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-11-1-1−1−i32−1+i321+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11-1-11-11+i321−i32−1−i32−1+i321+i321−i32-1-111-1-11+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ121111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11-1-111+i321−i321+i321−i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ131111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ141111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321-111-11−1−i32−1+i321+i321−i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ151111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-111-1111+i321−i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-11+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ161111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321111111+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+i32
χ171111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+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
χ181111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-11-1-1−1+i32−1−i321−i321+i321−i321+i3211-1-1-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ191111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11-1-11-11−i321+i32−1+i32−1−i321−i321+i32-1-111-1-11−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ201111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11-1-111−i321+i321−i321+i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ211111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-111-1−1+i32−1−i32−1+i32−1−i321−i321+i32-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ221111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321-111-11−1+i32−1−i321−i321+i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ231111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-111-1111−i321+i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-11−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ241111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321111111−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−i32
χ2522222222222222222222-2-2-2-2222-2-22-2-2-2-2-2-20000000000000000000000002-200000000002-22-200000000
χ2622222222222222222222-2-2-2-2222-2-22-2-2-2-2-2-2000000000000000000000000-220000000000-22-2200000000
χ27222222222222222222-2-22-22-2-2-2-22-2-22-22-22-200000000000000200-20000220000000000-2-2000000000000
χ28222222222222222222-2-22-22-2-2-2-22-2-22-22-22-200000000000000-20020000-2-2000000000022000000000000
χ29222222222222222222-2-2-22-22-2-2-2-22-2-22-22-220000000000000200-2000220000000000-2-200000000000000
χ30222222222222222222-2-2-22-22-2-2-2-22-2-22-22-220000000000000-2002000-2-200000000002200000000000000
χ31222222222222-2-2-2-2-2-22-22-2-2222-22-2-22-2-22-2200000000000000000000000000002-2000000000000002-22-2
χ32222222222222-2-2-2-2-2-22-22-2-2222-22-2-22-2-22-220000000000000000000000000000-2200000000000000-22-22
χ33222222222222-2-2-2-2-2-22-2-222-222-2-22-2-222-22-2000000000000000000000000002-20000000000002-22-20000
χ34222222222222-2-2-2-2-2-22-2-222-222-2-22-2-222-22-200000000000000000000000000-22000000000000-22-220000
χ35222222222222-2-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ37222222222222-2-2-2-2-2-2-22-2-222-2-22-2-22-2-22222000000000000200-200220000000000-2-20000000000000000
χ38222222222222-2-2-2-2-2-2-22-2-222-2-22-2-22-2-22222000000000000-200200-2-20000000000220000000000000000
χ392222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i322-2-2-2-2−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i31−i31−i30000000000000000000000002-20000000000−1−i31+i3−1+i31−i300000000
χ402222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i322-2-2-2-2−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i31−i31−i3000000000000000000000000-2200000000001+i3−1−i31−i3−1+i300000000
χ412222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i3-2-22-22-21+i31−i31+i3−1−i31+i31−i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000200-20000−1−i3−1+i300000000001+i31−i3000000000000
χ422222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i3-2-22-22-21+i31−i31+i3−1−i31+i31−i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000-200200001+i31−i30000000000−1−i3−1+i3000000000000
χ432222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i3-2-2-22-221+i31−i31+i31+i3−1−i31−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000200-2000−1−i3−1+i300000000001+i31−i300000000000000
χ442222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3−1−i3−1+i3-2-2-22-221+i31−i31+i31+i3−1−i31−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000-20020001+i31−i30000000000−1−i3−1+i300000000000000
χ452222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i32-22-2-22−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000002-200000000000000−1−i31+i3−1+i31−i3
χ462222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i32-22-2-22−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31−i3−1+i30000000000000000000000000000-22000000000000001+i3−1−i31−i3−1+i3
χ472222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i32-2-222-2−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1−i31+i3−1+i31−i3000000000000000000000000002-2000000000000−1−i31+i3−1+i31−i30000
χ482222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i32-2-222-2−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000-220000000000001+i3−1−i31−i3−1+i30000
χ492222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i3-2222-2-21+i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31−i31−i32i2i−2i−2i2ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ7000000000000000000000000000000000000
χ502222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i3-2222-2-21+i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31−i31−i3−2i−2i2i2i−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ7000000000000000000000000000000000000
χ512222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i3-22-2-2221+i31−i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1−i3−1+i3−1+i3000000000000200-200−1−i3−1+i300000000001+i31−i30000000000000000
χ522222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31−i31+i31−i3-22-2-2221+i31−i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1−i3−1+i3−1+i3000000000000-2002001+i31−i30000000000−1−i3−1+i30000000000000000
χ532222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1−i3−1+i3−1−i322-2-2-2-2−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i31+i31+i30000000000000000000000002-20000000000−1+i31−i3−1−i31+i300000000
χ542222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1−i3−1+i3−1−i322-2-2-2-2−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i31+i31+i3000000000000000000000000-2200000000001−i3−1+i31+i3−1−i300000000
χ552222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1−i3−1+i3−1−i3-2-22-22-21−i31+i31−i3−1+i31−i31+i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000200-20000−1+i3−1−i300000000001−i31+i3000000000000
χ562222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1−i3−1+i3−1−i3-2-22-22-21−i31+i31−i3−1+i31−i31+i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000-200200001−i31+i30000000000−1+i3−1−i3000000000000
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χ592222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31+i31−i31+i32-22-2-22−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000002-200000000000000−1+i31−i3−1−i31+i3
χ602222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31+i31−i31+i32-22-2-22−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31+i3−1−i30000000000000000000000000000-22000000000000001−i3−1+i31+i3−1−i3
χ612222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31+i31−i31+i32-2-222-2−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1+i31−i3−1−i31+i3000000000000000000000000002-2000000000000−1+i31−i3−1−i31+i30000
χ622222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31+i31−i31+i32-2-222-2−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000-220000000000001−i3−1+i31+i3−1−i30000
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χ652222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31+i31−i31+i3-22-2-2221−i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1+i3−1−i3−1−i3000000000000200-200−1+i3−1−i300000000001−i31+i30000000000000000
χ662222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31+i31−i31+i3-22-2-2221−i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1+i3−1−i3−1−i3000000000000-2002001−i31+i30000000000−1+i3−1−i30000000000000000
χ6744-4-4444-4-44-4-44-444-4-40000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ6844-4-4444-4-44-4-44-444-4-4000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ6944-4-4444-4-44-4-4-44-4-4440000000000000000002-2-222-2-222-2-22000000000000000000000000000000000000
χ7044-4-4444-4-44-4-4-44-4-444000000000000000000-222-2-222-2-222-2000000000000000000000000000000000000
χ7144-4-4−2−2i3−2+2i3−2−2i32+2i32+2i3−2+2i32−2i32−2i34-4−2−2i3−2+2i32+2i32−2i30000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7000000000000000000000000000000000000
χ7244-4-4−2−2i3−2+2i3−2−2i32+2i32+2i3−2+2i32−2i32−2i34-4−2−2i3−2+2i32+2i32−2i3000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7000000000000000000000000000000000000
χ7344-4-4−2−2i3−2+2i3−2−2i32+2i32+2i3−2+2i32−2i32−2i3-442+2i32−2i3−2−2i3−2+2i30000000000000000002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i3000000000000000000000000000000000000
χ7444-4-4−2−2i3−2+2i3−2−2i32+2i32+2i3−2+2i32−2i32−2i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i3000000000000000000000000000000000000
χ7544-4-4−2+2i3−2−2i3−2+2i32−2i32−2i3−2−2i32+2i32+2i34-4−2+2i3−2−2i32−2i32+2i30000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11000000000000000000000000000000000000
χ7644-4-4−2+2i3−2−2i3−2+2i32−2i32−2i3−2−2i32+2i32+2i34-4−2+2i3−2−2i32−2i32+2i3000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11000000000000000000000000000000000000
χ7744-4-4−2+2i3−2−2i3−2+2i32−2i32−2i3−2−2i32+2i32+2i3-442−2i32+2i3−2+2i3−2−2i30000000000000000002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i3000000000000000000000000000000000000
χ7844-4-4−2+2i3−2−2i3−2+2i32−2i32−2i3−2−2i32+2i32+2i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3000000000000000000000000000000000000
χ798-88-888-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000
χ808-88-8−4−4i3−4+4i34+4i3−4−4i34+4i34−4i3−4+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8−4+4i3−4−4i34−4i3−4+4i34−4i34+4i3−4−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000
χ828-8-8888-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88−4−4i3−4+4i34+4i34+4i3−4−4i34−4i34−4i3−4+4i3000000000000000000000000000000000000000000000000000000000000000000000000
χ848-8-88−4+4i3−4−4i34−4i34−4i3−4+4i34+4i34+4i3−4−4i3000000000000000000000000000000000000000000000000000000000000000000000000

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