Finite Group Databasebeta

← Group #11774840

Character table — Group #11774840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12224444334444666666121212121212121236661212121212121212121212128812121212242424242424242424242424242424248888888824242424242424242424242424242424244466121212121212244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−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−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−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−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−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−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-11111-1-1i−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−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-11111-1-1−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−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111i−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−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111i−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−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-200000000000000000000000000000000000000000000000000002-22-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-20000000000000000000000000000000000000000000000000000-22-2200
χ19222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-211-2-2111111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-122222-1-122-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-211-2-21111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-111-2-211-2-2111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-111-2-211-2-2111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-22200000000000000000000000000000000000000000000000000002-2-2200
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-2220000000000000000000000000000000000000000000000000000-222-200
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−iiiii2i2i−2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
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−2i−2i2i2i0000iiii−i−i−i−i00000000-220011-1-10000000000
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−i2i2i−2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
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−2i−2i2i2i0000iiii−i−i−i−i000000002-200-1-1110000000000
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−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii002-20000-1-111000000
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−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i00-22000011-1-1000000
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−i00002i2i−2i−2i00000000−i−i−i−iiiii00-22000011-1-1000000
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−i0000−2i−2i2i2i00000000iiii−i−i−i−i002-20000-1-111000000
χ3722-2-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i002-22i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000
χ3822-2-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i002-22i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000
χ3922-2-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22-222i−2i2i−2i−2i2i−2i2i00-22−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000000000000000000000
χ4022-2-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22-222i−2i2i−2i−2i2i−2i2i00-22−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000000000000000000000
χ4122-2-22i−2i2i−2i2-1-22−2i2i-2-112-212i−2i−ii2i−2i−ii-1-1111-1-22−ii−iii−i−2i2i001-1i−i00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000−i3i33−30000000000
χ4222-2-22i−2i2i−2i2-1-22−2i2i-2-112-212i−2i−ii2i−2i−ii-1-1111-1-22−ii−iii−i−2i2i001-1i−i00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000i3−i3−330000000000
χ4322-2-22i−2i2i−2i2-1-22−2i2i-2-112-212i−2i−ii2i−2i−ii-1-1111-1-22−ii−iii−i−2i2i001-1i−i00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000i3−i3−330000000000
χ4422-2-22i−2i2i−2i2-1-22−2i2i-2-112-212i−2i−ii2i−2i−ii-1-1111-1-22−ii−iii−i−2i2i001-1i−i00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000−i3i33−30000000000
χ4522-2-22i−2i2i−2i-122-22i−2i12-2-11-2−ii2i−2i−ii2i−2i-1-1112-2-11−ii−ii2i−2i−ii00-11−ii−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000003−3−i3i3000000
χ4622-2-22i−2i2i−2i-122-22i−2i12-2-11-2−ii2i−2i−ii2i−2i-1-1112-2-11−ii−ii2i−2i−ii00-11−ii−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000−33i3−i3000000
χ4722-2-22i−2i2i−2i-122-22i−2i12-2-11-2−ii2i−2i−ii2i−2i-1-1112-2-11−ii−ii2i−2i−ii00-11−iiζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000−33i3−i3000000
χ4822-2-22i−2i2i−2i-122-22i−2i12-2-11-2−ii2i−2i−ii2i−2i-1-1112-2-11−ii−ii2i−2i−ii00-11−iiζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000003−3−i3i3000000
χ4922-2-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i002-2−2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000
χ5022-2-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i002-2−2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000
χ5122-2-2−2i2i−2i2i22-222i−2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-22−2i2i−2i2i2i−2i2i−2i00-222i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000000000000000000000
χ5222-2-2−2i2i−2i2i22-222i−2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-22−2i2i−2i2i2i−2i2i−2i00-222i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000000000000000000000
χ5322-2-2−2i2i−2i2i2-1-222i−2i-2-112-21−2i2ii−i−2i2ii−i-1-1111-1-22i−ii−i−ii2i−2i001-1−ii00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000i3−i33−30000000000
χ5422-2-2−2i2i−2i2i2-1-222i−2i-2-112-21−2i2ii−i−2i2ii−i-1-1111-1-22i−ii−i−ii2i−2i001-1−ii00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000−i3i3−330000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.