Finite Group Databasebeta

← Group #10628613

Character table — Group #10628613

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111222222222222222222444444444444888888888888888888888888888888888888161616161616161616161616161616161616161616161616
order1222336666662244446666121212121212121244441212121212121212444444448888121212121212121212121212121212122424242424242424224466668888121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-11-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1
χ91111−1−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−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+i32111111111111−1−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+i321111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ101111−1−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−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+i3211111111-1-1-1-1−1−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+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-11-1−1−i32−1+i321+i321−i32-1-1-1-1−1−i32−1+i321+i321−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+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+i321111-1-1-1-11111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i3211-1-11+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+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+i321111-1-1-1-1-1-1-1-1−1−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−i32-11-111+i321−i32−1−i32−1+i32-1-1111+i321−i32−1−i32−1+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+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+i32-1-1-1-1111111111+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−i32−1+i32−1+i32−1+i32−1+i32-11-111+i321−i32−1−i32−1+i32-1-1-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ141111−1−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−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+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321−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−i32-1-1-1-11+i321−i321+i321−i3211111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ151111−1−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−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+i32-1-1-1-1-1-1-1-111111+i321+i321−i321−i321+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+i321-11-1−1−i32−1+i321+i321−i32-1-111−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ161111−1−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−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+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ171111−1+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+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−i32111111111111−1+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−i321111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ181111−1+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+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−i3211111111-1-1-1-1−1+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−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-11-1−1+i32−1−i321−i321+i32-1-1-1-1−1+i32−1−i321−i321+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−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−i321111-1-1-1-11111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i3211-1-11−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−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−i321111-1-1-1-1-1-1-1-1−1+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+i32-11-111−i321+i32−1+i32−1−i32-1-1111−i321+i32−1+i32−1−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−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−i32-1-1-1-1111111111−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+i32−1−i32−1−i32−1−i32−1−i32-11-111−i321+i32−1+i32−1−i32-1-1-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ221111−1+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+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−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321+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+i32-1-1-1-11−i321+i321−i321+i3211111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ231111−1+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+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−i32-1-1-1-1-1-1-1-111111−i321−i321+i321+i321−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−i321-11-1−1+i32−1−i321−i321+i32-1-111−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ241111−1+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+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−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ252222222222222222-2-222222222-2-2-2-22-2-2-22-22-2-2-2-2-200000000000000000000000000000000000020-2022000000-2-20000000000
χ262222222222222222-2-222222222-2-2-2-22-2-2-22-22-2-2-2-2-2000000000000000000000000000000000000-2020-2-2000000220000000000
χ2722222222222222-2-2222222-2-2-2-22222-2-22-2-2-2-2-222-2-2000022-2-200000000000022-2-222-2-200000000000000000000000000000000
χ2822222222222222-2-2222222-2-2-2-22222-2-22-2-2-2-2-222-2-20000-2-222000000000000-2-222-2-22200000000000000000000000000000000
χ2922222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-22-22-22-22-2-22222-2-2000000002222-2-2-2-20000000000000000000000000000000000000000
χ3022222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-22-22-22-22-2-222-2-22200000000-2-2-2-222220000000000000000000000000000000000000000
χ31222222222222-2-22222-2-2-2-222222222-22-2-2-22-22-2-2-2-2000000000000000000000000000000000000000000002-20000002-22-20000
χ32222222222222-2-22222-2-2-2-222222222-22-2-2-22-22-2-2-2-200000000000000000000000000000000000000000000-22000000-22-220000
χ33222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222000000000000000000000000000000000000020-20022000000-2-200000000
χ34222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000000000000-20200-2-20000002200000000
χ35222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-2-222-22-2-2-22200000000000000000000000000000000000000000000002-2000000002-22-2
χ36222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-2-222-22-2-2-2220000000000000000000000000000000000000000000000-2200000000-22-22
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2222222-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2222222-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ392222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-2-2-2−1−i31+i3−1+i31−i31+i31−i31+i31−i300000000000000000000000000000000000020-20−1−i3−1+i30000001+i31−i30000000000
χ402222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-2-2-2−1−i31+i3−1+i31−i31+i31−i31+i31−i3000000000000000000000000000000000000-20201+i31−i3000000−1−i3−1+i30000000000
χ412222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-222−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-2-22-21+i31+i31−i31−i3−1−i3−1+i31+i31−i3000022-2-2000000000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300000000000000000000000000000000
χ422222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-222−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-2-22-21+i31+i31−i31−i3−1−i3−1+i31+i31−i30000-2-2220000000000001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i300000000000000000000000000000000
χ432222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-22-221+i3−1−i31−i3−1+i31+i31−i3−1−i3−1+i322-2-200000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000000000000000000000000000000000000000
χ442222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-22-221+i3−1−i31−i3−1+i31+i31−i3−1−i3−1+i3-2-222000000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30000000000000000000000000000000000000000
χ452222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-22-2-21+i3−1−i31−i3−1+i31+i31−i31+i31−i3000000000000000000000000000000000000000000002-2000000−1−i31+i3−1+i31−i30000
χ462222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-22-2-21+i3−1−i31−i3−1+i31+i31−i31+i31−i300000000000000000000000000000000000000000000-220000001+i3−1−i31−i3−1+i30000
χ472222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-21+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-2-2221+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000000000020-200−1−i3−1+i30000001+i31−i300000000
χ482222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-21+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-2-2221+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i30000000000000000000000000000000000000-202001+i31−i3000000−1−i3−1+i300000000
χ492222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2221+i31−i31+i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i32-2-22−1−i31+i3−1+i31−i31+i31−i3−1−i3−1+i300000000000000000000000000000000000000000000002-200000000−1−i31+i3−1+i31−i3
χ502222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2221+i31−i31+i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i32-2-22−1−i31+i3−1+i31−i31+i31−i3−1−i3−1+i30000000000000000000000000000000000000000000000-22000000001+i3−1−i31−i3−1+i3
χ512222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i31+i31+i31−i31−i3222-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i31−i3000000002i2i−2i−2i00000000000000002ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ7000000000000000000000000
χ522222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i31+i31+i31−i31−i3222-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i31−i300000000−2i−2i2i2i0000000000000000−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ7000000000000000000000000
χ532222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-2-2-2−1+i31−i3−1−i31+i31−i31+i31−i31+i300000000000000000000000000000000000020-20−1+i3−1−i30000001−i31+i30000000000
χ542222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-2-2-2−1+i31−i3−1−i31+i31−i31+i31−i31+i3000000000000000000000000000000000000-20201−i31+i3000000−1+i3−1−i30000000000
χ552222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-222−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-2-22-21−i31−i31+i31+i3−1+i3−1−i31−i31+i3000022-2-2000000000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300000000000000000000000000000000
χ562222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-222−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-2-22-21−i31−i31+i31+i3−1+i3−1−i31−i31+i30000-2-2220000000000001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i300000000000000000000000000000000
χ572222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-22-221−i3−1+i31+i3−1−i31−i31+i3−1+i3−1−i322-2-200000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000000000000000000000000000000000000000
χ582222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-22-221−i3−1+i31+i3−1−i31−i31+i3−1+i3−1−i3-2-222000000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i30000000000000000000000000000000000000000
χ592222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-22-2-21−i3−1+i31+i3−1−i31−i31+i31−i31+i3000000000000000000000000000000000000000000002-2000000−1+i31−i3−1−i31+i30000
χ602222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-22-2-21−i3−1+i31+i3−1−i31−i31+i31−i31+i300000000000000000000000000000000000000000000-220000001−i3−1+i31+i3−1−i30000
χ612222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-21−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-2-2221−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000000020-200−1+i3−1−i30000001−i31+i300000000
χ622222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-21−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-2-2221−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i30000000000000000000000000000000000000-202001−i31+i3000000−1+i3−1−i300000000
χ632222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2221−i31+i31−i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i32-2-22−1+i31−i3−1−i31+i31−i31+i3−1+i3−1−i300000000000000000000000000000000000000000000002-200000000−1+i31−i3−1−i31+i3
χ642222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2221−i31+i31−i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i32-2-22−1+i31−i3−1−i31+i31−i31+i3−1+i3−1−i30000000000000000000000000000000000000000000000-22000000001−i3−1+i31+i3−1−i3
χ652222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i31−i31−i31+i31+i3222-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31+i3000000002i2i−2i−2i00000000000000002ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ11000000000000000000000000
χ662222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i31−i31−i31+i31+i3222-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31+i300000000−2i−2i2i2i0000000000000000−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ11000000000000000000000000
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χ1024-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i3-4400002−2i32+2i3−2+2i3−2−2i30000000000000000000000000000-222-200000000000000001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3000000000000000000000000

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