Finite Group Databasebeta

← Group #14482520

Character table — Group #14482520

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1111222222222222222244444444444444466661212121212122222444444444444444488888888888888812121212242424242424222244444444444444448888888888888881212121224242424242455551010101010101010101010101010101020202020202020202020202020202030303030606060606060
order122222223444466612121212244666666121212121212224422444451010101010101015202020203030306060606010202030303030303060606060606010102020101020202020510101010101010152020202030303060606060102020303030303030606060606060101020201010202020202222222264444666121212122446666661212121212122244224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-1
χ411111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-11111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-11111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-11111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-111
χ5111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-111111-1-1-11-1111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-111111-1-1-11-1111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-111111-1-1-11-1111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-111111-1-1-11-1
χ6111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11111111-1-11-1-1111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11
χ7111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-11-11-1-11111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-11-11-1-11111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-11-11-1-11111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-11-11-1-11
χ8111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-111-1-111-11-111-1111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-111-1-111-11-111-1111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-111-1-111-11-111-1111111-1-11-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-111-1-111-11-111-1
χ91111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-1111111-11-1-1-111111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-1111111-11-1-1-111111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-1111111-11-1-1-111111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-1111111-11-1-1-11
χ101111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11-1111-11111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11-1111-11111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11-1111-11111-1-1111-1-1111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11-1111-1
χ111111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-11-11111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-11-11111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-11-11111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-11-1
χ121111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-1-1-1111-1-11-111111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-1-1-1111-1-11-111111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-1-1-1111-1-11-111111-1-1111-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-1-1-1111-1-11-11
χ131111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ141111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ151111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11111111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11111111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11111111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111
χ161111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-111111-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-111111-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-111111-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-111111-1-1-1
χ1722222222-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000022222222-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000022222222-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000022222222-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222222-122-2-2-1-1-11111-2-2-2-1-1-1-111-1-11111000000000022222222-122-2-2-1-1-11111-2-2-2-1-1-1-111-1-11111000000000022222222-122-2-2-1-1-11111-2-2-2-1-1-1-111-1-11111000000000022222222-122-2-2-1-1-11111-2-2-2-1-1-1-111-1-111110000000000
χ19222222-2-2-1-2-222-1-1-1-1-1-1-1-22-2-1-1111111-1-1110000000000222222-2-2-1-2-222-1-1-1-1-1-1-1-22-2-1-1111111-1-1110000000000222222-2-2-1-2-222-1-1-1-1-1-1-1-22-2-1-1111111-1-1110000000000222222-2-2-1-2-222-1-1-1-1-1-1-1-22-2-1-1111111-1-1110000000000
χ20222222-2-2-1-2-2-2-2-1-1-111112-22-1-111-1-11111-1-10000000000222222-2-2-1-2-2-2-2-1-1-111112-22-1-111-1-11111-1-10000000000222222-2-2-1-2-2-2-2-1-1-111112-22-1-111-1-11111-1-10000000000222222-2-2-1-2-2-2-2-1-1-111112-22-1-111-1-11111-1-10000000000
χ212222-2-222-1-2-222-1-1-1-1-1-1-1-2-2211-1-1111111-1-100000000002222-2-222-1-2-222-1-1-1-1-1-1-1-2-2211-1-1111111-1-100000000002222-2-222-1-2-222-1-1-1-1-1-1-1-2-2211-1-1111111-1-100000000002222-2-222-1-2-222-1-1-1-1-1-1-1-2-2211-1-1111111-1-10000000000
χ222222-2-222-1-2-2-2-2-1-1-1111122-211-1-1-1-111-1-11100000000002222-2-222-1-2-2-2-2-1-1-1111122-211-1-1-1-111-1-11100000000002222-2-222-1-2-2-2-2-1-1-1111122-211-1-1-1-111-1-11100000000002222-2-222-1-2-2-2-2-1-1-1111122-211-1-1-1-111-1-1110000000000
χ232222-2-2-2-2-12222-1-1-1-1-1-1-12-2-21111-1-1-1-1111100000000002222-2-2-2-2-12222-1-1-1-1-1-1-12-2-21111-1-1-1-1111100000000002222-2-2-2-2-12222-1-1-1-1-1-1-12-2-21111-1-1-1-1111100000000002222-2-2-2-2-12222-1-1-1-1-1-1-12-2-21111-1-1-1-111110000000000
χ242222-2-2-2-2-122-2-2-1-1-11111-222111111-1-1-1-1-1-100000000002222-2-2-2-2-122-2-2-1-1-11111-222111111-1-1-1-1-1-100000000002222-2-2-2-2-122-2-2-1-1-11111-222111111-1-1-1-1-1-100000000002222-2-2-2-2-122-2-2-1-1-11111-222111111-1-1-1-1-1-10000000000
χ2522-2-200002002i−2i2-2-22i2i−2i−2i0000000000000002-22i−2i00000022-2-200002002i−2i2-2-22i2i−2i−2i0000000000000002-22i−2i00000022-2-200002002i−2i2-2-22i2i−2i−2i0000000000000002-22i−2i00000022-2-200002002i−2i2-2-22i2i−2i−2i0000000000000002-22i−2i000000
χ2622-2-200002002i−2i2-2-22i2i−2i−2i000000000000000-22−2i2i00000022-2-200002002i−2i2-2-22i2i−2i−2i000000000000000-22−2i2i00000022-2-200002002i−2i2-2-22i2i−2i−2i000000000000000-22−2i2i00000022-2-200002002i−2i2-2-22i2i−2i−2i000000000000000-22−2i2i000000
χ2722-2-20000200−2i2i2-2-2−2i−2i2i2i0000000000000002-2−2i2i00000022-2-20000200−2i2i2-2-2−2i−2i2i2i0000000000000002-2−2i2i00000022-2-20000200−2i2i2-2-2−2i−2i2i2i0000000000000002-2−2i2i00000022-2-20000200−2i2i2-2-2−2i−2i2i2i0000000000000002-2−2i2i000000
χ2822-2-20000200−2i2i2-2-2−2i−2i2i2i000000000000000-222i−2i00000022-2-20000200−2i2i2-2-2−2i−2i2i2i000000000000000-222i−2i00000022-2-20000200−2i2i2-2-2−2i−2i2i2i000000000000000-222i−2i00000022-2-20000200−2i2i2-2-2−2i−2i2i2i000000000000000-222i−2i000000
χ292-22-22-22-222-200-2-2200000002-22-2002-2000000000000002-22-22-22-222-200-2-2200000002-22-2002-2000000000000002-22-22-22-222-200-2-2200000002-22-2002-2000000000000002-22-22-22-222-200-2-2200000002-22-2002-200000000000000
χ302-22-22-22-2-12-20011-1−i3i3−i3i3000-11-11−i3i3-11−i3i3−i3i300000000002-22-22-22-2-12-20011-1−i3i3−i3i3000-11-11−i3i3-11−i3i3−i3i300000000002-22-22-22-2-12-20011-1−i3i3−i3i3000-11-11−i3i3-11−i3i3−i3i300000000002-22-22-22-2-12-20011-1−i3i3−i3i3000-11-11−i3i3-11−i3i3−i3i30000000000
χ312-22-22-22-2-12-20011-1i3−i3i3−i3000-11-11i3−i3-11i3−i3i3−i300000000002-22-22-22-2-12-20011-1i3−i3i3−i3000-11-11i3−i3-11i3−i3i3−i300000000002-22-22-22-2-12-20011-1i3−i3i3−i3000-11-11i3−i3-11i3−i3i3−i300000000002-22-22-22-2-12-20011-1i3−i3i3−i3000-11-11i3−i3-11i3−i3i3−i30000000000
χ322-22-22-2-222-2200-2-2200000002-2-2200-22000000000000002-22-22-2-222-2200-2-2200000002-2-2200-22000000000000002-22-22-2-222-2200-2-2200000002-2-2200-22000000000000002-22-22-2-222-2200-2-2200000002-2-2200-2200000000000000
χ332-22-22-2-22-1-220011-1−i3i3−i3i3000-111-1i3−i31-1−i3i3i3−i300000000002-22-22-2-22-1-220011-1−i3i3−i3i3000-111-1i3−i31-1−i3i3i3−i300000000002-22-22-2-22-1-220011-1−i3i3−i3i3000-111-1i3−i31-1−i3i3i3−i300000000002-22-22-2-22-1-220011-1−i3i3−i3i3000-111-1i3−i31-1−i3i3i3−i30000000000
χ342-22-22-2-22-1-220011-1i3−i3i3−i3000-111-1−i3i31-1i3−i3−i3i300000000002-22-22-2-22-1-220011-1i3−i3i3−i3000-111-1−i3i31-1i3−i3−i3i300000000002-22-22-2-22-1-220011-1i3−i3i3−i3000-111-1−i3i31-1i3−i3−i3i300000000002-22-22-2-22-1-220011-1i3−i3i3−i3000-111-1−i3i31-1i3−i3−i3i30000000000
χ352-22-2-222-22-2200-2-220000000-222-200-22000000000000002-22-2-222-22-2200-2-220000000-222-200-22000000000000002-22-2-222-22-2200-2-220000000-222-200-22000000000000002-22-2-222-22-2200-2-220000000-222-200-2200000000000000
χ362-22-2-222-2-1-220011-1−i3i3−i3i30001-1-11i3−i31-1i3−i3−i3i300000000002-22-2-222-2-1-220011-1−i3i3−i3i30001-1-11i3−i31-1i3−i3−i3i300000000002-22-2-222-2-1-220011-1−i3i3−i3i30001-1-11i3−i31-1i3−i3−i3i300000000002-22-2-222-2-1-220011-1−i3i3−i3i30001-1-11i3−i31-1i3−i3−i3i30000000000
χ372-22-2-222-2-1-220011-1i3−i3i3−i30001-1-11−i3i31-1−i3i3i3−i300000000002-22-2-222-2-1-220011-1i3−i3i3−i30001-1-11−i3i31-1−i3i3i3−i300000000002-22-2-222-2-1-220011-1i3−i3i3−i30001-1-11−i3i31-1−i3i3i3−i300000000002-22-2-222-2-1-220011-1i3−i3i3−i30001-1-11−i3i31-1−i3i3i3−i30000000000
χ382-22-2-22-2222-200-2-220000000-22-22002-2000000000000002-22-2-22-2222-200-2-220000000-22-22002-2000000000000002-22-2-22-2222-200-2-220000000-22-22002-2000000000000002-22-2-22-2222-200-2-220000000-22-22002-200000000000000
χ392-22-2-22-22-12-20011-1−i3i3−i3i30001-11-1−i3i3-11i3−i3i3−i300000000002-22-2-22-22-12-20011-1−i3i3−i3i30001-11-1−i3i3-11i3−i3i3−i300000000002-22-2-22-22-12-20011-1−i3i3−i3i30001-11-1−i3i3-11i3−i3i3−i300000000002-22-2-22-22-12-20011-1−i3i3−i3i30001-11-1−i3i3-11i3−i3i3−i30000000000
χ402-22-2-22-22-12-20011-1i3−i3i3−i30001-11-1i3−i3-11−i3i3−i3i300000000002-22-2-22-22-12-20011-1i3−i3i3−i30001-11-1i3−i3-11−i3i3−i3i300000000002-22-2-22-22-12-20011-1i3−i3i3−i30001-11-1i3−i3-11−i3i3−i3i300000000002-22-2-22-22-12-20011-1i3−i3i3−i30001-11-1i3−i3-11−i3i3−i3i30000000000
χ4144-4-40000-2004i−4i-222−2i−2i2i2i000000000000000000000000044-4-40000-2004i−4i-222−2i−2i2i2i000000000000000000000000044-4-40000-2004i−4i-222−2i−2i2i2i000000000000000000000000044-4-40000-2004i−4i-222−2i−2i2i2i0000000000000000000000000
χ4244-4-40000-200−4i4i-2222i2i−2i−2i000000000000000000000000044-4-40000-200−4i4i-2222i2i−2i−2i000000000000000000000000044-4-40000-200−4i4i-2222i2i−2i−2i000000000000000000000000044-4-40000-200−4i4i-2222i2i−2i−2i0000000000000000000000000
χ434-4-44000040000-44-4000000000000000000000000000004-4-44000040000-44-4000000000000000000000000000004-4-44000040000-44-4000000000000000000000000000004-4-44000040000-44-400000000000000000000000000000
χ444-4-440000-200002-2223−23−232300000000000000000000000004-4-440000-200002-2223−23−232300000000000000000000000004-4-440000-200002-2223−23−232300000000000000000000000004-4-440000-200002-2223−23−23230000000000000000000000000
χ454-4-440000-200002-22−232323−2300000000000000000000000004-4-440000-200002-22−232323−2300000000000000000000000004-4-440000-200002-22−232323−2300000000000000000000000004-4-440000-200002-22−232323−230000000000000000000000000
χ46111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ4811111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-111-1-11111-1-111-1-11-111
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χ1808-8-880000-400004-44−434343−430000000000000000000000000−2−252+252+25−2−2500001+50000−1−51+5−1−52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000000−2+252−252−25−2+2500001−50000−1+51−5−1+5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000

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