Finite Group Databasebeta

← Group #14296868

Character table — Group #14296868

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222224444444444444444444444444444444444444444448888888888888888888888888888888888881010101010101010101010101010101020202020202020202020202020202020120120120120120120120120
order1222223666666622224456666666610101010101010121212121515303030303030303030303030303010101010101010102020202030303030303030303030303030303030606060606060606022224444121212121212121244446666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-11-11-11-1
χ1011111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-11-11-11
χ1111111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1i−ii−i−ii−ii
χ1211111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1−ii−iii−ii−i
χ1311111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11
χ1411111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1
χ1511111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−ii−iii−i
χ1611111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−ii−i−ii
χ17222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-211111111111100000000
χ19222222-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-21111111122-2-2-1-1-1-1-1-1-1-1111100000000
χ20222222-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000
χ21222222-1-1-1-1-1-1-1-1-2-222-2-221111-1-1-1-122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-211111111-2-222-1-1-1-11111-1-1-1-100000000
χ22222222-1-1-1-1-1-1-1-1-2-222-2-221111-1-1-1-122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000
χ23222222-1-1-1-1-1-1-1-1-2-2-2-2222111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ24222222-1-1-1-1-1-1-1-1-2-2-2-2222111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-100000000
χ252222-2-2222-2-2-2-2200002-220000000022-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-2220000000022-2-200000000000000002222-2-2-2-222-2-222-2-22222-2-2-2-2000022-2-20000000000000000
χ262222-2-2222-2-2-2-2200002-220000000022-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-2220000000022-2-200000000000000002222-2-2-2-2-2-222-2-222-2-2-2-222220000-2-2220000000000000000
χ272222-2-2222-2-2-2-220000-2220000000022-2-2-2-22-2-222222222-2-2-2-2-2-2-2-22200000000-2-2220000000000000000-2-2-2-2222222-2-2-2-222-2-2-2-22222000022-2-20000000000000000
χ282222-2-2222-2-2-2-220000-2220000000022-2-2-2-22-2-222222222-2-2-2-2-2-2-2-22200000000-2-2220000000000000000-2-2-2-22222-2-22222-2-22222-2-2-2-20000-2-2220000000000000000
χ292222-2-2-1-1-11111-100002-22−i3−i3i3i3−i3−i3i3i322-2-2-2-22-1-111-1-1-1-1-1-111111111-1-10000000022-2-2−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-1111122-2-222-2-2-1-1-1-111110000-1-111−i3−i3i3i3−i3−i3i3i300000000
χ302222-2-2-1-1-11111-100002-22−i3−i3i3i3−i3−i3i3i322-2-2-2-22-1-111-1-1-1-1-1-111111111-1-10000000022-2-2−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-11111-2-222-2-2221111-1-1-1-1000011-1-1i3i3−i3−i3i3i3−i3−i300000000
χ312222-2-2-1-1-11111-100002-22i3i3−i3−i3i3i3−i3−i322-2-2-2-22-1-111-1-1-1-1-1-111111111-1-10000000022-2-2i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1-1-1111122-2-222-2-2-1-1-1-111110000-1-111i3i3−i3−i3i3i3−i3−i300000000
χ322222-2-2-1-1-11111-100002-22i3i3−i3−i3i3i3−i3−i322-2-2-2-22-1-111-1-1-1-1-1-111111111-1-10000000022-2-2i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1-1-11111-2-222-2-2221111-1-1-1-1000011-1-1−i3−i3i3i3−i3−i3i3i300000000
χ332222-2-2-1-1-11111-10000-222−i3−i3i3i3i3i3−i3−i322-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100000000-2-222−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i31111-1-1-1-122-2-2-2-2221111-1-1-1-10000-1-111−i3−i3i3i3i3i3−i3−i300000000
χ342222-2-2-1-1-11111-10000-222−i3−i3i3i3i3i3−i3−i322-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100000000-2-222−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i31111-1-1-1-1-2-22222-2-2-1-1-1-11111000011-1-1i3i3−i3−i3−i3−i3i3i300000000
χ352222-2-2-1-1-11111-10000-222i3i3−i3−i3−i3−i3i3i322-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100000000-2-222i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i31111-1-1-1-122-2-2-2-2221111-1-1-1-10000-1-111i3i3−i3−i3−i3−i3i3i300000000
χ362222-2-2-1-1-11111-10000-222i3i3−i3−i3−i3−i3i3i322-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100000000-2-222i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i31111-1-1-1-1-2-22222-2-2-1-1-1-11111000011-1-1−i3−i3i3i3i3i3−i3−i300000000
χ372-2-222-22-2-222-2-22002-200200002-22-2-2-222-2-22000022-2-2-2-22222-2-2-2-222000022-2-200000000000022-2-222-2-2000000002-22-2000000000000002-22-22-200002-22-200000000
χ382-2-222-22-2-222-2-22002-200200002-22-2-2-222-2-22000022-2-2-2-22222-2-2-2-222000022-2-200000000000022-2-222-2-200000000-22-2200000000000000-22-22-220000-22-2200000000
χ392-2-222-22-2-222-2-2200-220020000-22-22-2-222-2-22000022-2-2-2-22222-2-2-2-2220000-2-222000000000000-2-222-2-222000000002-22-200000000000000-222-22-20000-22-2200000000
χ402-2-222-22-2-222-2-2200-220020000-22-22-2-222-2-22000022-2-2-2-22222-2-2-2-2220000-2-222000000000000-2-222-2-22200000000-22-22000000000000002-2-22-2200002-22-200000000
χ412-2-222-2-111-1-111-1002-2002−i3i3−i3i3-11-11-2-222-2-22−i3i3−i3i3-1-11111-1-1-1-11111-1-1000022-2-20000−i3−i3i3i3−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i32-22-20000−i3−i3i3i3−i3−i3i3i3002-2-11-11−i3i3−i3i3-11-1100000000
χ422-2-222-2-111-1-111-1002-2002−i3i3−i3i3-11-11-2-222-2-22−i3i3−i3i3-1-11111-1-1-1-11111-1-1000022-2-20000−i3−i3i3i3−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i3-22-220000i3i3−i3−i3i3i3−i3−i300-221-11-1i3−i3i3−i31-11-100000000
χ432-2-222-2-111-1-111-1002-2002i3−i3i3−i3-11-11-2-222-2-22i3−i3i3−i3-1-11111-1-1-1-11111-1-1000022-2-20000i3i3−i3−i3i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i32-22-20000i3i3−i3−i3i3i3−i3−i3002-2-11-11i3−i3i3−i3-11-1100000000
χ442-2-222-2-111-1-111-1002-2002i3−i3i3−i3-11-11-2-222-2-22i3−i3i3−i3-1-11111-1-1-1-11111-1-1000022-2-20000i3i3−i3−i3i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i3-22-220000−i3−i3i3i3−i3−i3i3i300-221-11-1−i3i3−i3i31-11-100000000
χ452-2-222-2-111-1-111-100-22002−i3i3−i3i31-11-1-2-222-2-22i3−i3i3−i3-1-11111-1-1-1-11111-1-10000-2-2220000−i3−i3i3i3−i3−i3i3i311-1-111-1-1i3i3−i3−i3i3i3−i3−i32-22-20000i3i3−i3−i3i3i3−i3−i300-22-11-11−i3i3−i3i31-11-100000000
χ462-2-222-2-111-1-111-100-22002−i3i3−i3i31-11-1-2-222-2-22i3−i3i3−i3-1-11111-1-1-1-11111-1-10000-2-2220000−i3−i3i3i3−i3−i3i3i311-1-111-1-1i3i3−i3−i3i3i3−i3−i3-22-220000−i3−i3i3i3−i3−i3i3i3002-21-11-1i3−i3i3−i3-11-1100000000
χ472-2-222-2-111-1-111-100-22002i3−i3i3−i31-11-1-2-222-2-22−i3i3−i3i3-1-11111-1-1-1-11111-1-10000-2-2220000i3i3−i3−i3i3i3−i3−i311-1-111-1-1−i3−i3i3i3−i3−i3i3i32-22-20000−i3−i3i3i3−i3−i3i3i300-22-11-11i3−i3i3−i31-11-100000000
χ482-2-222-2-111-1-111-100-22002i3−i3i3−i31-11-1-2-222-2-22−i3i3−i3i3-1-11111-1-1-1-11111-1-10000-2-2220000i3i3−i3−i3i3i3−i3−i311-1-111-1-1−i3−i3i3i3−i3−i3i3i3-22-220000i3i3−i3−i3i3i3−i3−i3002-21-11-1−i3i3−i3i3-11-1100000000
χ492-2-22-222-2-2-2-22222-2000022-2-220000-2-2-2-2222000022-2-2-2-2-2-2-2-222222222-2-20000000022-2-2-2-22200000000000000002-2-220000000000002-2002-2-222-2-22000000000000
χ502-2-22-222-2-2-2-22222-2000022-2-220000-2-2-2-2222000022-2-2-2-2-2-2-2-222222222-2-20000000022-2-2-2-2220000000000000000-222-2000000000000-2200-222-2-222-2000000000000
χ512-2-22-222-2-2-2-2222-2200002-222-20000-2-2-2-2222000022-2-2-2-2-2-2-2-2222222-2-22200000000-2-22222-2-200000000000000002-2-22000000000000-22002-2-22-222-2000000000000
χ522-2-22-222-2-2-2-2222-2200002-222-20000-2-2-2-2222000022-2-2-2-2-2-2-2-2222222-2-22200000000-2-22222-2-20000000000000000-222-20000000000002-200-222-22-2-22000000000000
χ532-2-22-22-11111-1-1-12-200002-111-1−i3i3i3−i3-2-2-2-2222−i3i3i3−i3-1-111111111-1-1-1-1-1-122-2-200000000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i32-2-220000−i3−i3i3i3i3i3−i3−i32-200-111-1-111-1−i3i3i3−i300000000
χ542-2-22-22-11111-1-1-12-200002-111-1−i3i3i3−i3-2-2-2-2222−i3i3i3−i3-1-111111111-1-1-1-1-1-122-2-200000000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-222-20000i3i3−i3−i3−i3−i3i3i3-22001-1-111-1-11i3−i3−i3i300000000
χ552-2-22-22-11111-1-1-12-200002-111-1i3−i3−i3i3-2-2-2-2222i3−i3−i3i3-1-111111111-1-1-1-1-1-122-2-200000000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i32-2-220000i3i3−i3−i3−i3−i3i3i32-200-111-1-111-1i3−i3−i3i300000000
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χ1318-88-800-44-44i3−4i3−4i34i34000000-2000000002-2−252525−25200001−i151+i15−1+i151−i15−1−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-800-44-44i3−4i3−4i34i34000000-2000000002-225−25−2525200001+i151−i15−1−i151+i15−1+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.