Finite Group Databasebeta

← Group #11777902

Character table — Group #11777902

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12224444334444666666121212121212121236661212121212121212121212124412121212121212121212121212121212121212128888888824242424242424242424242424242424246688121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−ii−ii−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii−ii−ii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i−ii−ii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iiii−ii−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iiii−ii−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i−ii−iii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii−ii−iii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−ii−ii−i−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000000022-2-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-2-22200
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022-1-100-1-10000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-21100110000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-21100110000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000022-1-100-1-10000000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100002200-1-1-1-1000000
χ2422222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000-2-2001111000000
χ2522222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-10000-2-2001111000000
χ2622222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100002200-1-1-1-1000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2220000000000-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2220000000000-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ292222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122111111-1-1-2-22-222-1-1-2-211-1-111-1-1-1-1111122-2-20000-1-1-1-11111000000002-2-1-100110000000000
χ302222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122111111-1-1-2-22-222-1-1-2-211-1-111-1-1-1-11111-2-22200001111-1-1-1-100000000-221100-1-10000000000
χ312222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122111111-1-1-2-2-22-2-21122-1-1-1-1111111-1-1-1-122-2-20000-1-1-1-1111100000000-221100-1-10000000000
χ322222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122111111-1-1-2-2-22-2-21122-1-1-1-1111111-1-1-1-1-2-22200001111-1-1-1-1000000002-2-1-100110000000000
χ332222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-1-2-2111122112-2-1-12211-2-2-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii00002i−2i00−i−iii000000
χ342222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-1-2-2111122112-2-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i0000−2i2i00ii−i−i000000
χ352222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-1-2-211112211-2211-2-2-1-122-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii0000−2i2i00ii−i−i000000
χ362222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-1-2-211112211-2211-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i00002i−2i00−i−iii000000
χ3722-2-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i2i−2i−2i2i−2i2-22-22-22i−2i2i2i−2i−2i2-22i−2i00000000002-22i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000
χ3822-2-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i2i−2i−2i2i−2i2-22-22-22i−2i2i2i−2i−2i2-22i−2i00000000002-22i−2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000
χ3922-2-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i2i−2i−2i2i−2i2-22-2-22−2i2i2i2i−2i−2i-22−2i2i0000000000-22−2i2i000000002-22i−2i000022-2-22i2i−2i−2i00000000000000000000000000
χ4022-2-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i2i−2i−2i2i−2i2-22-2-22−2i2i2i2i−2i−2i-22−2i2i0000000000-22−2i2i00000000-22−2i2i0000-2-222−2i−2i2i2i00000000000000000000000000
χ4122-2-22i−2i2i−2i2-1-22−2i2i-22-2-1112i−2i−i−iii2i−2i-11-11-22i−i−i−iii1-1−2i2i0000−i3i3003−31-1i−i−i3−i3i3i333−3−32-22i−2i0000-1-111−i−iii0000000000−i3i3003−30000000000
χ4222-2-22i−2i2i−2i2-1-22−2i2i-22-2-1112i−2i−i−iii2i−2i-11-11-22i−i−i−iii1-1−2i2i0000−i3i3003−31-1i−i−i3−i3i3i333−3−3-22−2i2i000011-1-1ii−i−i0000000000i3−i300−330000000000
χ4322-2-22i−2i2i−2i2-1-22−2i2i-22-2-1112i−2i−i−iii2i−2i-11-11-22i−i−i−iii1-1−2i2i0000i3−i300−331-1i−ii3i3−i3−i3−3−3332-22i−2i0000-1-111−i−iii0000000000i3−i300−330000000000
χ4422-2-22i−2i2i−2i2-1-22−2i2i-22-2-1112i−2i−i−iii2i−2i-11-11-22i−i−i−iii1-1−2i2i0000i3−i300−331-1i−ii3i3−i3−i3−3−333-22−2i2i000011-1-1ii−i−i0000000000−i3i3003−30000000000
χ4522-2-22i−2i2i−2i-122-22i−2i1-112-2-2−ii2i2i−2i−2i−ii-11-11-112i−2i−i−iii2-2−ii00−i3i3003−300-11−ii−i3i3−i3i33−33−300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ4622-2-22i−2i2i−2i-122-22i−2i1-112-2-2−ii2i2i−2i−2i−ii-11-11-112i−2i−i−iii2-2−ii00−i3i3003−300-11−ii−i3i3−i3i33−33−30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ4722-2-22i−2i2i−2i-122-22i−2i1-112-2-2−ii2i2i−2i−2i−ii-11-11-112i−2i−i−iii2-2−ii00i3−i300−3300-11−iii3−i3i3−i3−33−3300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ4822-2-22i−2i2i−2i-122-22i−2i1-112-2-2−ii2i2i−2i−2i−ii-11-11-112i−2i−i−iii2-2−ii00i3−i300−3300-11−iii3−i3i3−i3−33−330000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ4922-2-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i−2i2i2i−2i2i2-22-22-2−2i2i−2i−2i2i2i2-2−2i2i00000000002-2−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000
χ5022-2-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i−2i2i2i−2i2i2-22-22-2−2i2i−2i−2i2i2i2-2−2i2i00000000002-2−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000
χ5122-2-2−2i2i−2i2i22-222i−2i-22-22-2-2−2i2i−2i−2i2i2i−2i2i2-22-2-222i−2i−2i−2i2i2i-222i−2i0000000000-222i−2i000000002-2−2i2i000022-2-2−2i−2i2i2i00000000000000000000000000
χ5222-2-2−2i2i−2i2i22-222i−2i-22-22-2-2−2i2i−2i−2i2i2i−2i2i2-22-2-222i−2i−2i−2i2i2i-222i−2i0000000000-222i−2i00000000-222i−2i0000-2-2222i2i−2i−2i00000000000000000000000000
χ5322-2-2−2i2i−2i2i2-1-222i−2i-22-2-111−2i2iii−i−i−2i2i-11-11-22−iiii−i−i1-12i−2i0000−i3i300−331-1−ii−i3−i3i3i3−3−3332-2−2i2i0000-1-111ii−i−i0000000000−i3i300−330000000000
χ5422-2-2−2i2i−2i2i2-1-222i−2i-22-2-111−2i2iii−i−i−2i2i-11-11-22−iiii−i−i1-12i−2i0000−i3i300−331-1−ii−i3−i3i3i3−3−333-222i−2i000011-1-1−i−iii0000000000i3−i3003−30000000000
χ5522-2-2−2i2i−2i2i2-1-222i−2i-22-2-111−2i2iii−i−i−2i2i-11-11-22−iiii−i−i1-12i−2i0000i3−i3003−31-1−iii3i3−i3−i333−3−32-2−2i2i0000-1-111ii−i−i0000000000i3−i3003−30000000000
χ5622-2-2−2i2i−2i2i2-1-222i−2i-22-2-111−2i2iii−i−i−2i2i-11-11-22−iiii−i−i1-12i−2i0000i3−i3003−31-1−iii3i3−i3−i333−3−3-222i−2i000011-1-1−i−iii0000000000−i3i300−330000000000
χ5722-2-2−2i2i−2i2i-122-2−2i2i1-112-2-2i−i−2i−2i2i2ii−i-11-11-11−2i2iii−i−i2-2i−i00−i3i300−3300-11i−i−i3i3−i3i3−33−330000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ5822-2-2−2i2i−2i2i-122-2−2i2i1-112-2-2i−i−2i−2i2i2ii−i-11-11-11−2i2iii−i−i2-2i−i00−i3i300−3300-11i−i−i3i3−i3i3−33−3300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ5922-2-2−2i2i−2i2i-122-2−2i2i1-112-2-2i−i−2i−2i2i2ii−i-11-11-11−2i2iii−i−i2-2i−i00i3−i3003−300-11i−ii3−i3i3−i33−33−30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ6022-2-2−2i2i−2i2i-122-2−2i2i1-112-2-2i−i−2i−2i2i2ii−i-11-11-11−2i2iii−i−i2-2i−i00i3−i3003−300-11i−ii3−i3i3−i33−33−300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ61444444444-2-4-4-4-4444-2-2-244-2-2-2-244-2-2-2-2-4-422-2-2-2-222-4-40000000000222200000000000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-2-2-2444-2-24444-2-2-2-2-2-222-4-4-2-2-2-2-4-4220000000000222200000000000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211112222111122220000000000-1-1-1-13-3-333-3-33000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.