Finite Group Databasebeta

← Group #11921224

Character table — Group #11921224

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222222222244444444668888888888888888888888888888888888888888888812121212121212121212121212121248484848484848487272
order1222344666888812121212242424242424242433666666443366666612121212121212121212121224242424242424242424242424242424242424242424242444444881212121224242424121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−i32−1+i32−1−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−i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ411111111111111111111111111−1−i32−1+i32−1−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−i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11-1-111111111111+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ511111111111111111111111111−1+i32−1−i32−1+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+i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ611111111111111111111111111−1+i32−1−i32−1+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+i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11-1-111111111111−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11-1
χ91111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−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−i32−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i32111-1-1-1-11111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11
χ101111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−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−i32−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1111-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+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+i32−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i32111-1-1-1-11111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+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+i32−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1111-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1
χ1322222-2-22220000-2-2-2-200000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2000022-2-200000000000000
χ1422222-2-22220000-2-2-2-200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i31+i31+i31−i31−i300000000000000000000000000-2000022-2-200000000000000
χ1522222-2-22220000-2-2-2-200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i31−i31−i31+i31+i300000000000000000000000000-2000022-2-200000000000000
χ162222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10020022-1-1-1-1-1-1-1-10000000000
χ172222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320020022-1-1-1-1-1-1-1-10000000000
χ182222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320020022-1-1-1-1-1-1-1-10000000000
χ192222-122-1-1-1-2-2-2-2-1-1-1-1111111112222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111100200-2-2-1-1-1-111110000000000
χ202222-122-1-1-1-2-2-2-2-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200200-2-2-1-1-1-111110000000000
χ212222-122-1-1-1-2-2-2-2-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200200-2-2-1-1-1-111110000000000
χ222222-1-2-2-1-1-1000011113333−3−3−3−32222222222-1-1-1-1-1-1-1-1-2-21111-2-2111100003333−3−3−3−300003333−3−3−3−300-20000-1-11133−3−30000000000
χ232222-1-2-2-1-1-1000011113333−3−3−3−3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321+i321−i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i3200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ220000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ2200-20000-1-11133−3−30000000000
χ242222-1-2-2-1-1-1000011113333−3−3−3−3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321−i321+i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i320000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ2200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ2200-20000-1-11133−3−30000000000
χ252222-1-2-2-1-1-100001111−3−3−3−333332222222222-1-1-1-1-1-1-1-1-2-21111-2-211110000−3−3−3−333330000−3−3−3−3333300-20000-1-111−3−3330000000000
χ262222-1-2-2-1-1-100001111−3−3−3−33333−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321+i321−i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i320000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ2200-20000-1-111−3−3330000000000
χ272222-1-2-2-1-1-100001111−3−3−3−33333−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321−i321+i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i320000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ2200-20000-1-111−3−3330000000000
χ2822-2-2200-22-222−2−2000022−2−222−2−22222-2-2-2-22-2222-22-2-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−2000002−22-2002−22−20000000000
χ2922-2-2200-22-222−2−2000022−2−222−2−2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000002−22-2002−22−20000000000
χ3022-2-2200-22-222−2−2000022−2−222−2−2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13000002−22-2002−22−20000000000
χ3122-2-2200-22-2−2−2220000−2−222−2−2222222-2-2-2-22-2222-22-2-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−22200000−222-200−22−220000000000
χ3222-2-2200-22-2−2−2220000−2−222−2−222−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000−222-200−22−220000000000
χ3322-2-2200-22-2−2−2220000−2−222−2−222−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000−222-200−22−220000000000
χ3422-2-2-1001-1122−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232222-2-2-2-22-2-1-1-11-1111003−33−3003−33−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000002−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ3522-2-2-1001-1122−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-21+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32002ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22002ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5−ζ13−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ7−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ7+ζ13+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ5+ζ7+ζ13000002−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ3622-2-2-1001-1122−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-21−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i3200−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ7+ζ13+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ5+ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5−ζ13−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ7−ζ23000002−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.