Finite Group Databasebeta

← Group #11774654

Character table — Group #11774654

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12224444334444666666121212121212121236661212121212121212121212128812121212242424242424242424242424242424242244444488888888242424242424242424242424242424244444661212121212122488
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
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-1i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-11−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1-11−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1111-1i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-1−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-11i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1-11i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1111-1−ii
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
χ19222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ20222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ21222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-211-2-2111111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ22222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-211-2-21111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ2322222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ2422222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ2522222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-111-2-211-2-211111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ2622222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-111-2-211-2-2111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-22200000000000000000000000000000000000000000000000022-2-200000000-2200
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-222000000000000000000000000000000000000000000000000-2-222000000002-200
χ292222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-1-1-122111111-2-22i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii22-2-200002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-11100000000
χ302222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-1-1-122111111-2-22i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii-2-2220000−2i−2i2i2i0000iiii−i−i−i−i00000000000011-1-100000000
χ312222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-1-1-122111111-2-2−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i22-2-20000−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-11100000000
χ322222-2-2-2-22-122-2-22-1-122-1-2-211-2-211-1-1-1-1-1-122111111-2-2−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i-2-22200002i2i−2i−2i0000−i−i−i−iiiii00000000000011-1-100000000
χ332222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-122-1-11111-2-2112i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii000022-2-200002i2i−2i−2i00000000−i−i−i−iiiii00000000-1-1110000
χ342222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-122-1-11111-2-2112i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii0000-2-2220000−2i−2i2i2i00000000iiii−i−i−i−i0000000011-1-10000
χ352222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-122-1-11111-2-211−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i000022-2-20000−2i−2i2i2i00000000iiii−i−i−i−i00000000-1-1110000
χ362222-2-2-2-2-1222-2-2-122-1-1211-2-211-2-2-1-1-1-122-1-11111-2-211−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i0000-2-22200002i2i−2i−2i00000000−i−i−i−iiiii0000000011-1-10000
χ3722-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2i−2i2-2000000000000
χ3822-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i-22000000000000
χ3922-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i0000000000000000000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i-22000000000000
χ4022-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2i−2i0000000000000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2i−2i2-2000000000000
χ4122-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−2i2i2-2000000000000
χ4222-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i-22000000000000
χ4322-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i0000000000000000000000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i-22000000000000
χ4422-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i2i−2i2i0000000000000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2i2i2-2000000000000
χ452-22-22i−2i−2i2i222-22i−2i-2-22-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i−2i2i2i−2i2i−2i002-22i−2i000000000000000000002-22i−2i000000000000000000000000000000002-22i−2i0000
χ462-22-22i−2i−2i2i222-22i−2i-2-22-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i−2i2i2i−2i2i−2i002-22i−2i00000000000000000000-22−2i2i00000000000000000000000000000000-22−2i2i0000
χ472-22-22i−2i−2i2i22-22−2i2i-2-22-22-22i−2i2i−2i−2i2i−2i2i2-22-2-22-222i−2i−2i2i−2i2i−2i2i00-22−2i2i00000000000000002-22i−2i000000000000000000000000000000002-22i−2i00000000
χ482-22-22i−2i−2i2i22-22−2i2i-2-22-22-22i−2i2i−2i−2i2i−2i2i2-22-2-22-222i−2i−2i2i−2i2i−2i2i00-22−2i2i0000000000000000-22−2i2i00000000000000000000000000000000-22−2i2i00000000
χ492-22-22i−2i−2i2i2-1-22−2i2i-21-1-2212i−2i−ii−2i2ii−i-11-111-1-22−iii−ii−i−2i2i001-1i−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−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
χ502-22-22i−2i−2i2i2-1-22−2i2i-21-1-2212i−2i−ii−2i2ii−i-11-111-1-22−iii−ii−i−2i2i001-1i−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−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
χ512-22-22i−2i−2i2i2-1-22−2i2i-21-1-2212i−2i−ii−2i2ii−i-11-111-1-22−iii−ii−i−2i2i001-1i−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−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
χ522-22-22i−2i−2i2i2-1-22−2i2i-21-1-2212i−2i−ii−2i2ii−i-11-111-1-22−iii−ii−i−2i2i001-1i−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−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
χ532-22-22i−2i−2i2i-122-22i−2i1-221-1-2−ii2i−2ii−i−2i2i-11-112-2-11−iii−i2i−2i−ii00-11−iiζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002-22i−2i0000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000-11−ii0000
χ542-22-22i−2i−2i2i-122-22i−2i1-221-1-2−ii2i−2ii−i−2i2i-11-112-2-11−iii−i2i−2i−ii00-11−iiζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000-22−2i2i0000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000001-1i−i0000
χ552-22-22i−2i−2i2i-122-22i−2i1-221-1-2−ii2i−2ii−i−2i2i-11-112-2-11−iii−i2i−2i−ii00-11−ii−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002-22i−2i0000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000-11−ii0000
χ562-22-22i−2i−2i2i-122-22i−2i1-221-1-2−ii2i−2ii−i−2i2i-11-112-2-11−iii−i2i−2i−ii00-11−ii−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000-22−2i2i0000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000001-1i−i0000
χ572-22-2−2i2i2i−2i222-2−2i2i-2-22-22-2−2i2i−2i2i2i−2i2i−2i2-22-22-22-2−2i2i2i−2i−2i2i−2i2i002-2−2i2i000000000000000000002-2−2i2i000000000000000000000000000000002-2−2i2i0000
χ582-22-2−2i2i2i−2i222-2−2i2i-2-22-22-2−2i2i−2i2i2i−2i2i−2i2-22-22-22-2−2i2i2i−2i−2i2i−2i2i002-2−2i2i00000000000000000000-222i−2i00000000000000000000000000000000-222i−2i0000
χ592-22-2−2i2i2i−2i22-222i−2i-2-22-22-2−2i2i−2i2i2i−2i2i−2i2-22-2-22-22−2i2i2i−2i2i−2i2i−2i00-222i−2i00000000000000002-2−2i2i000000000000000000000000000000002-2−2i2i00000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.