Finite Group Databasebeta

← Group #11777583

Character table — Group #11777583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12224444334444666666121212121212121236661212121212121212121212128812121212242424242424242424242424242424242244888888888888242424242424242424242424242424248888661212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iii−ii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i−ii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiii−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−ii−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−ii1-1
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−ii1-1
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iiii−i-11
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-2-2-1-1-1-11111-2-2-2-21111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ2422222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ2522222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-2111111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ2622222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-21111111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22200-2-2220000000000000000000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22200-2-222000000000000000000000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ292222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-2111122112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii22-2-200002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-11100000000
χ302222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-2111122112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii-2-2220000−2i−2i2i2i0000iiii−i−i−i−i00000000000011-1-100000000
χ312222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-211112211−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i22-2-20000−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-11100000000
χ322222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-211112211−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i-2-22200002i2i−2i−2i0000−i−i−i−iiiii00000000000011-1-100000000
χ332222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-122111111-1-1-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii00002i2i−2i−2i000022-2-200000000-1-1-1-1111100000000−i−iii0000
χ342222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-122111111-1-1-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii0000−2i−2i2i2i0000-2-222000000001111-1-1-1-100000000ii−i−i0000
χ352222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-122111111-1-1-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i00002i2i−2i−2i0000-2-222000000001111-1-1-1-100000000−i−iii0000
χ362222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-122111111-1-1-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i0000−2i−2i2i2i000022-2-200000000-1-1-1-1111100000000ii−i−i0000
χ372-22-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000000000000000001+i−1−i1−i−1+i2−2−i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ382-22-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000000000000000001+i−1−i1−i−1+i−22i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ392-22-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i0000000000000000000000000000000000−1−i1+i−1+i1−i2−2−i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ402-22-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i0000000000000000000000000000000000−1−i1+i−1+i1−i−22i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ412-22-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000000000000000001−i−1+i1+i−1−i2−2i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ422-22-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000000000000000001−i−1+i1+i−1−i−22−i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ432-22-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i0000000000000000000000000000000000−1+i1−i−1−i1+i2−2i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ442-22-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i0000000000000000000000000000000000−1+i1−i−1−i1+i−22−i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ452-2-222i−2i−2i2i222-22i−2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22i−2i2i−2i−2i2i2-22i−2i002-22i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ462-2-222i−2i−2i2i222-22i−2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22i−2i2i−2i−2i2i2-22i−2i002-22i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ472-2-222i−2i−2i2i22-22−2i2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-2-22−2i2i2i−2i−2i2i-22−2i2i00-22−2i2i00000000000000002-22i−2i000000000000000000000000000000002-22i−2i00000000
χ482-2-222i−2i−2i2i22-22−2i2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-2-22−2i2i2i−2i−2i2i-22−2i2i00-22−2i2i0000000000000000-22−2i2i00000000000000000000000000000000-22−2i2i00000000
χ492-2-222i−2i−2i2i2-1-22−2i2i-22-21-112i−2i−iii−i−2i2i-11-111-1−2i2i−iii−i-22i−i001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232-22i−2i000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000-11−ii00000000
χ502-2-222i−2i−2i2i2-1-22−2i2i-22-21-112i−2i−iii−i−2i2i-11-111-1−2i2i−iii−i-22i−i001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-22−2i2i000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000001-1i−i00000000
χ512-2-222i−2i−2i2i2-1-22−2i2i-22-21-112i−2i−iii−i−2i2i-11-111-1−2i2i−iii−i-22i−i001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232-22i−2i000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000-11−ii00000000
χ522-2-222i−2i−2i2i2-1-22−2i2i-22-21-112i−2i−iii−i−2i2i-11-111-1−2i2i−iii−i-22i−i001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-22−2i2i000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000001-1i−i00000000
χ532-2-222i−2i−2i2i-122-22i−2i1-11-22-2−ii2i−2i−2i2ii−i-11-112-2−ii−iii−i-112i−2i00-11−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000−i3i3−i3i33−33−300000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000
χ542-2-222i−2i−2i2i-122-22i−2i1-11-22-2−ii2i−2i−2i2ii−i-11-112-2−ii−iii−i-112i−2i00-11−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000i3−i3i3−i3−33−3300000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
χ552-2-222i−2i−2i2i-122-22i−2i1-11-22-2−ii2i−2i−2i2ii−i-11-112-2−ii−iii−i-112i−2i00-11−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000i3−i3i3−i3−33−3300000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000
χ562-2-222i−2i−2i2i-122-22i−2i1-11-22-2−ii2i−2i−2i2ii−i-11-112-2−ii−iii−i-112i−2i00-11−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000−i3i3−i3i33−33−300000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
χ572-2-22−2i2i2i−2i222-2−2i2i-22-2-22-2−2i2i−2i2i2i−2i2i−2i2-22-22-2−2i2i−2i2i2i−2i2-2−2i2i002-2−2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ582-2-22−2i2i2i−2i222-2−2i2i-22-2-22-2−2i2i−2i2i2i−2i2i−2i2-22-22-2−2i2i−2i2i2i−2i2-2−2i2i002-2−2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.