Finite Group Databasebeta

← Group #11777771

Character table — Group #11777771

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122244443344446666661212121212121212366612121212121212121212121288888888888888882466666666121212121212121212121212242424242424242424242424242424248888888824668812122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1-111i−i-1-1ii−i−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i-11-1-1−ii11−i−iii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1-111−ii-1-1−i−iii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii-11-1-1i−i11ii−i−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii-11-1-1i−i11ii−i−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii1-111−ii-1-1−i−iiii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i-11-1-1−ii11−i−iiii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i1-111i−i-1-1ii−i−i−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000-2-2-2-2000000000000000000002222-2-2-2-200000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000-2-2-2-200000000000000000000-2-2-2-2222200000000000000
χ19222222222-1222222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222222222000000002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-100-1-1000000
χ20222222222-1222222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222222200000000-2-2-2-2111111-2-211-1-1-1-11111-1-1-1-1-1-1-1-10000000000000000-2-2110011000000
χ21222222222-1222222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2000000002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2110011000000
χ22222222222-1222222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-2-2-2-2111111-2-211-1-1-1-1111111111111000000000000000022-1-100-1-1000000
χ2322222222-122222-1-122-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1000000002222222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-100
χ2422222222-122222-1-122-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-10000000022222222-2-211-2-2111111-2-2-1-1-1-1111100000000-1-1-1-1-1-1-1-1000000000000-2-200111100
χ2522222222-122222-1-122-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-100000000-2-2-2-2-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000011111111000000000000-2-200111100
χ2622222222-122222-1-122-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-100000000-2-2-2-2-2-2-2-2-2-211-2-2111111-2-2-1-1-1-1111100000000111111110000000000002200-1-1-1-100
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222000000000000000000000000000000-2-222000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222000000000000000000000000000000-2-22200000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-2-2-2-22-122-2-222-1-12-1-2-21111-2-2-1-1-1-122111111-1-1-2-22222-2-2-2-2000000002-222-1-1-1-1-1-1-2-211-1-1111111-1-1-1-1111100000000000000002-2-1-10011000000
χ302222-2-2-2-22-122-2-222-1-12-1-2-21111-2-2-1-1-1-122111111-1-1-2-22222-2-2-2-200000000-22-2-211111122-1-1-1-111-1-1-1-1-1-1-1-111110000000000000000-221100-1-1000000
χ312222-2-2-2-22-122-2-222-1-12-1-2-21111-2-2-1-1-1-122111111-1-1-2-2-2-2-2-22222000000002-222-1-1-1-1-1-1-2-211-1-11111111111-1-1-1-10000000000000000-221100-1-1000000
χ322222-2-2-2-22-122-2-222-1-12-1-2-21111-2-2-1-1-1-122111111-1-1-2-2-2-2-2-2222200000000-22-2-211111122-1-1-1-111-1-1-1-11111-1-1-1-100000000000000002-2-1-10011000000
χ332222-2-2-2-2-1222-2-2-1-122-1211-2-2-2-211-1-1-1-1-1-1-2-211112211000000002i2i2i2i−2i−2i−2i−2i2-2-1-122-1-1-1-111-2-2-1-111111100000000−i−i−i−iiiii0000000000002i−2i00−i−iii00
χ342222-2-2-2-2-1222-2-2-1-122-1211-2-2-2-211-1-1-1-1-1-1-2-211112211000000002i2i2i2i−2i−2i−2i−2i-2211-2-21111-1-122-1-111-1-1-1-100000000−i−i−i−iiiii000000000000−2i2i00ii−i−i00
χ352222-2-2-2-2-1222-2-2-1-122-1211-2-2-2-211-1-1-1-1-1-1-2-21111221100000000−2i−2i−2i−2i2i2i2i2i2-2-1-122-1-1-1-111-2-2-1-111111100000000iiii−i−i−i−i000000000000−2i2i00ii−i−i00
χ362222-2-2-2-2-1222-2-2-1-122-1211-2-2-2-211-1-1-1-1-1-1-2-21111221100000000−2i−2i−2i−2i2i2i2i2i-2211-2-21111-1-122-1-111-1-1-1-100000000iiii−i−i−i−i0000000000002i−2i00−i−iii00
χ3722-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i2i−2i−2i2i−2i22-2-200002i2i−2i−2i000022−2−2−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000022−2−2−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ3822-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i2i−2i−2i2i−2i22-2-200002i2i−2i−2i000022−2−2−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000022−2−2−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ3922-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i2i−2i−2i2i−2i22-2-200002i2i−2i−2i0000−2−222i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000−2−222i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ4022-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i2i−2i−2i2i−2i22-2-200002i2i−2i−2i0000−2−222i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000000000−2−222i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ4122-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i−2i2i2i−2i2i22-2-20000−2i−2i2i2i000022−2−2i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000022−2−2i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ4222-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i−2i2i2i−2i2i22-2-20000−2i−2i2i2i000022−2−2i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000022−2−2i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4322-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i−2i2i2i−2i2i22-2-20000−2i−2i2i2i0000−2−222−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000000000−2−222−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4422-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i−2i2i2i−2i2i22-2-20000−2i−2i2i2i0000−2−222−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000−2−222−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ452-22-22i−2i−2i2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i−2i2i2-22-22-22i−2i2i−2i2i−2i2-22i−2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000002-22i−2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000
χ462-22-22i−2i−2i2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i−2i2i2-22-22-22i−2i2i−2i2i−2i2-22i−2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000002-22i−2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000
χ472-22-22i−2i−2i2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i−2i2i2-22-2-22−2i2i2i−2i2i−2i-22−2i2i2-22-22i−2i2i−2i0000000000000000000000-22−2i2i00002-22-22i−2i2i−2i000000000000000000000000000000
χ482-22-22i−2i−2i2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i−2i2i2-22-2-22−2i2i2i−2i2i−2i-22−2i2i-22-22−2i2i−2i2i0000000000000000000000-22−2i2i0000-22-22−2i2i−2i2i000000000000000000000000000000
χ492-22-22i−2i−2i2i2-1-22−2i2i-221-1-212i−2i−ii−ii−2i2i-11-11-22i−i−ii−ii1-1−2i2i2-22-22i−2i2i−2i000000000000−i3i3−i3−i3i3i3003−31-1i−i33−3−3-11-11−ii−ii000000000000000000−i3i3003−3000000
χ502-22-22i−2i−2i2i2-1-22−2i2i-221-1-212i−2i−ii−ii−2i2i-11-11-22i−i−ii−ii1-1−2i2i2-22-22i−2i2i−2i000000000000i3−i3i3i3−i3−i300−331-1i−i−3−333-11-11−ii−ii000000000000000000i3−i300−33000000
χ512-22-22i−2i−2i2i2-1-22−2i2i-221-1-212i−2i−ii−ii−2i2i-11-11-22i−i−ii−ii1-1−2i2i-22-22−2i2i−2i2i000000000000−i3i3−i3−i3i3i3003−31-1i−i33−3−31-11-1i−ii−i000000000000000000i3−i300−33000000
χ522-22-22i−2i−2i2i2-1-22−2i2i-221-1-212i−2i−ii−ii−2i2i-11-11-22i−i−ii−ii1-1−2i2i-22-22−2i2i−2i2i000000000000i3−i3i3i3−i3−i300−331-1i−i−3−3331-11-1i−ii−i000000000000000000−i3i3003−3000000
χ532-22-22i−2i−2i2i-122-22i−2i1-1-221-2−ii2i−2i2i−2ii−i-11-11-112i−2i−ii−ii2-2−ii00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300−i3i300−i3i3−i3i33−300-11−ii3−33−300000000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
χ542-22-22i−2i−2i2i-122-22i−2i1-1-221-2−ii2i−2i2i−2ii−i-11-11-112i−2i−ii−ii2-2−ii00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300i3−i300i3−i3i3−i3−3300-11−ii−33−3300000000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
χ552-22-22i−2i−2i2i-122-22i−2i1-1-221-2−ii2i−2i2i−2ii−i-11-11-112i−2i−ii−ii2-2−ii000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300−i3i300−i3i3−i3i33−300-11−ii3−33−300000000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.