Finite Group Databasebeta

← Group #14518729

Character table — Group #14518729

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112222223333444444444466666666666666121212121212121212121212121212121212121212121212121212121818185454545454545454545454545454545454545454545454545454
order12333666336633333666663333333666666633333333333333666666666666664121244121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ711111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11-111-1-11+i321−i32−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ811111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11-1-1111+i321−i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ911111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ1011111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ1111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11-111-1-11−i321+i32−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ1211111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11-1-1111−i321+i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ132222222222222222222222-122-122-1-122-122-1-1-1-1-12-1-1-1-12-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1222000000220000-1-1-1-1-1-100000000
χ142222222222222222222222-122-122-1-122-122-1-1-1-1-12-1-1-1-12-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2000000-2-2000011111100000000
χ1522222222−1−i3−1+i3−1−i3−1+i32222222222-1−1−i3−1−i31+i32−1+i3−1+i31−i32-1−1−i3−1−i31+i32−1+i3−1+i31−i32-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i32-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i32222000000−1−i3−1+i30000-1-11+i321+i321−i321−i3200000000
χ1622222222−1−i3−1+i3−1−i3−1+i32222222222-1−1−i3−1−i31+i32−1+i3−1+i31−i32-1−1−i3−1−i31+i32−1+i3−1+i31−i32-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i32-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i32-2-2-20000001+i31−i3000011−1−i32−1−i32−1+i32−1+i3200000000
χ1722222222−1+i3−1−i3−1+i3−1−i32222222222-1−1+i3−1+i31−i32−1−i3−1−i31+i32-1−1+i3−1+i31−i32−1−i3−1−i31+i32-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i32-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i32222000000−1+i3−1−i30000-1-11−i321−i321+i321+i3200000000
χ1822222222−1+i3−1−i3−1+i3−1−i32222222222-1−1+i3−1+i31−i32−1−i3−1−i31+i32-1−1+i3−1+i31−i32−1−i3−1−i31+i32-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i32-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i32-2-2-20000001−i31+i3000011−1+i32−1+i32−1−i32−1−i3200000000
χ192222-122-122222-1-1-1-12-1-1-1-122-122-1222-122-122-1-1-1-12-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1-10000200-1-10000220000000000-1-1-1-1
χ202222-122-122222-1-1-1-12-1-1-1-122-122-1222-122-122-1-1-1-12-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1-10000-200110000-2-200000000001111
χ212222-122-1−1−i3−1+i3−1−i3−1+i32-1-1-1-12-1-1-1-12−1−i31+i32−1−i3−1+i31−i32−1+i32−1−i31+i32−1−i3−1+i31−i32−1+i32-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i322-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i320000200-1-10000−1−i3−1+i300000000001+i321+i321−i321−i32
χ222222-122-1−1−i3−1+i3−1−i3−1+i32-1-1-1-12-1-1-1-12−1−i31+i32−1−i3−1+i31−i32−1+i32−1−i31+i32−1−i3−1+i31−i32−1+i32-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i322-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i320000-2001100001+i31−i30000000000−1−i32−1−i32−1+i32−1+i32
χ232222-122-1−1+i3−1−i3−1+i3−1−i32-1-1-1-12-1-1-1-12−1+i31−i32−1+i3−1−i31+i32−1−i32−1+i31−i32−1+i3−1−i31+i32−1−i32-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i322-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i320000200-1-10000−1+i3−1−i300000000001−i321−i321+i321+i32
χ242222-122-1−1+i3−1−i3−1+i3−1−i32-1-1-1-12-1-1-1-12−1+i31−i32−1+i3−1−i31+i32−1−i32−1+i31−i32−1+i3−1−i31+i32−1−i32-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i322-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i320000-2001100001−i31+i30000000000−1+i32−1+i32−1−i32−1−i32
χ25222-122-122222-12-1-1-1-12-1-1-12-122-1222-122-122-12-1-1-1-12-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-100020-1-100002200000000-1-1-1-10000
χ26222-122-122222-12-1-1-1-12-1-1-12-122-1222-122-122-12-1-1-1-12-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1000-20110000-2-20000000011110000
χ27222-122-12−1−i3−1+i3−1−i3−1+i3-12-1-1-1-12-1-1-121+i32−1−i3−1−i31−i32−1+i3−1+i321+i32−1−i3−1−i31−i32−1+i3−1+i3-12-1-11+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32-12-1-11+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i3200020-1-10000−1−i3−1+i3000000001+i321+i321−i321−i320000
χ28222-122-12−1−i3−1+i3−1−i3−1+i3-12-1-1-1-12-1-1-121+i32−1−i3−1−i31−i32−1+i3−1+i321+i32−1−i3−1−i31−i32−1+i3−1+i3-12-1-11+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32-12-1-11+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32000-201100001+i31−i300000000−1−i32−1−i32−1+i32−1+i320000
χ29222-122-12−1+i3−1−i3−1+i3−1−i3-12-1-1-1-12-1-1-121−i32−1+i3−1+i31+i32−1−i3−1−i321−i32−1+i3−1+i31+i32−1−i3−1−i3-12-1-11−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32-12-1-11−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i3200020-1-10000−1+i3−1−i3000000001−i321−i321+i321+i320000
χ30222-122-12−1+i3−1−i3−1+i3−1−i3-12-1-1-1-12-1-1-121−i32−1+i3−1+i31+i32−1−i3−1−i321−i32−1+i3−1+i31+i32−1−i3−1−i3-12-1-11−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32-12-1-11−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32000-201100001−i31+i300000000−1+i32−1+i32−1−i32−1−i320000
χ312-2222-2-2-222-2-222222-2-2-2-2-22222222-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000
χ322-2222-2-2-222-2-222222-2-2-2-2-2-122-122-11-2-21-2-21-1-1-1-12-1-1-1-12-1-1-1-11111-21111-211110000000000000003−33−33−300000000
χ332-2222-2-2-222-2-222222-2-2-2-2-2-122-122-11-2-21-2-21-1-1-1-12-1-1-1-12-1-1-1-11111-21111-21111000000000000000−33−33−3300000000
χ342-2222-2-2-2−1−i3−1+i31+i31−i322222-2-2-2-2-22−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-21+i31+i31+i31−i31−i31−i32222−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31+i31−i31−i31−i31−i31−i300000000000000000000000000000
χ352-2222-2-2-2−1−i3−1+i31+i31−i322222-2-2-2-2-2-1−1−i3−1−i31+i32−1+i3−1+i31−i3211+i31+i3−1−i321−i31−i3−1+i32-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i3211111+i3−1−i32−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−1+i320000000000000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ362-2222-2-2-2−1−i3−1+i31+i31−i322222-2-2-2-2-2-1−1−i3−1−i31+i32−1+i3−1+i31−i3211+i31+i3−1−i321−i31−i3−1+i32-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i3211111+i3−1−i32−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−1+i32000000000000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ372-2222-2-2-2−1+i3−1−i31−i31+i322222-2-2-2-2-22−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-21−i31−i31−i31+i31+i31+i32222−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31−i31+i31+i31+i31+i31+i300000000000000000000000000000
χ382-2222-2-2-2−1+i3−1−i31−i31+i322222-2-2-2-2-2-1−1+i3−1+i31−i32−1−i3−1−i31+i3211−i31−i3−1+i321+i31+i3−1−i32-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i3211111−i3−1+i32−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−1−i320000000000000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ392-2222-2-2-2−1+i3−1−i31−i31+i322222-2-2-2-2-2-1−1+i3−1+i31−i32−1−i3−1−i31+i3211−i31−i3−1+i321+i31+i3−1−i32-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i3211111−i3−1+i32−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−1−i32000000000000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ402-222-1-2-2122-2-22-1-1-1-1-2111122-122-12-2-21-2-21-22-1-1-1-12-1-1-1-12-1-1-1-21111-21111-211100000003−300000000000000003−33−3
χ412-222-1-2-2122-2-22-1-1-1-1-2111122-122-12-2-21-2-21-22-1-1-1-12-1-1-1-12-1-1-1-21111-21111-21110000000−330000000000000000−33−33
χ422-222-1-2-21−1−i3−1+i31+i31−i32-1-1-1-1-211112−1−i31+i32−1−i3−1+i31−i32−1+i3-21+i3−1−i321+i31−i3−1+i321−i32-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32-2111−1−i321+i3−1−i32−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1+i3200000003−300000000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11
χ432-222-1-2-21−1−i3−1+i31+i31−i32-1-1-1-1-211112−1−i31+i32−1−i3−1+i31−i32−1+i3-21+i3−1−i321+i31−i3−1+i321−i32-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32-2111−1−i321+i3−1−i32−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1+i320000000−330000000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11
χ442-222-1-2-21−1+i3−1−i31−i31+i32-1-1-1-1-211112−1+i31−i32−1+i3−1−i31+i32−1−i3-21−i3−1+i321−i31+i3−1−i321+i32-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-2111−1+i321−i3−1+i32−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1−i3200000003−30000000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11
χ452-222-1-2-21−1+i3−1−i31−i31+i32-1-1-1-1-211112−1+i31−i32−1+i3−1−i31+i32−1−i3-21−i3−1+i321−i31+i3−1−i321+i32-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-2111−1+i321−i3−1+i32−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1−i320000000−330000000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11
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χ502-22-12-21-2−1+i3−1−i31−i31+i3-12-1-1-11-211121−i32−1+i3−1+i31+i32−1−i3−1−i3-2−1+i321−i31−i3−1−i321+i31+i3-12-1-11−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i321-211−1+i32−1+i321−i3−1+i32−1+i32−1−i32−1−i321+i3−1−i32−1−i32000003−300000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.