Finite Group Databasebeta

← Group #11777906

Character table — Group #11777906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12224444334444666666121212121212121236661212121212121212121212128812121212242424242424242424242424242424248888888824242424242424242424242424242424246688121224242424888844
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
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
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
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-11-111i−i-1-1ii−i−iii−i−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−i-1-111ii−i−iii−i−i-1-1-1-111111-111−ii-1-1−i−iii−i−iii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-1-11-1-1i−i11ii−i−i−i−iii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−ii-1-111−i−iii−i−iii-1-1-1-11111-11-1-1−ii11−i−iiiii−i−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1-11-1-1−ii11−i−iiiii−i−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−i-1-111ii−i−iii−i−i-1-1-1-11111-11-1-1i−i11ii−i−i−i−iii1-1
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-11-111−ii-1-1−i−iii−i−iii1-1
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−ii-1-111−i−iii−i−iii-1-1-1-111111-111i−i-1-1ii−i−iii−i−i-11
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-200-2-2-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-200-2-2-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022-1-100-1-10000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-21100110000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-11111-2-2-2-21111111122220000-1-1-1-1-1-1-1-100000000-2-21100110000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-20000111111110000000022-1-100-1-10000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-111110000000000−i3i300−i3i30000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3-2-22200001111-1-1-1-10000000000i3−i300i3−i30000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-111110000000000i3−i300i3−i30000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000−i3i300−i3i30000000000
χ2722222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100002200-1-1-1-1000000
χ2822222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000-2-2001111000000
χ2922222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000222200000000-1-1-1-1-1-1-1-10000-2-2001111000000
χ3022222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000-2-2-2-2000000001111111100002200-1-1-1-1000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-200-2-22200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-200-2-2220000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-2111111222i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii2i−2i2i−2i0000−i−iii−i−iii000000002-2-1-100110000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-2111111222i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−2i2i−2i2i0000ii−i−iii−i−i00000000-221100-1-10000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-211111122−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i2i−2i2i−2i0000−i−iii−i−iii00000000-221100-1-10000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-211111122−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i2i−2i2i0000ii−i−iii−i−i000000002-2-1-100110000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-20011-1-13−3−33000033−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i0000000000−i3i300i3−i30000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-20011-1-13−3−33000033−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii0000000000i3−i300−i3i30000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-20011-1-1−333−30000−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i0000000000i3−i300−i3i30000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-20011-1-1−333−30000−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iii0000000000−i3i300i3−i30000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-12i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii000022-2-200000000-1-1-1-1111100002i−2i00−i−iii000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-12i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii0000-2-222000000001111-1-1-1-10000−2i2i00ii−i−i000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-1−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i000022-2-200000000-1-1-1-111110000−2i2i00ii−i−i000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-1−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i0000-2-222000000001111-1-1-1-100002i−2i00−i−iii000000
χ452-22-22i−2i2i−2i222-22i−2i2-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22i−2i2i−2i2i−2i2i−2i2-2002-22i−2i0000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300
χ462-22-22i−2i2i−2i222-22i−2i2-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22i−2i2i−2i2i−2i2i−2i2-2002-22i−2i00000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300
χ472-22-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22−2i2i−2i2i2i−2i2i−2i-2200-22−2i2i000000000000000000002i−2i2-2000000002i2i−2i−2i22-2-2000000000000000000
χ482-22-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22−2i2i−2i2i2i−2i2i−2i-2200-22−2i2i00000000000000000000−2i2i-2200000000−2i−2i2i2i-2-222000000000000000000
χ492-22-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i−2i2i−2i−ii-1-111-22i−i−2i2i−ii−ii1-1001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002i−2i2-200000000−i−iii-1-11100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ502-22-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i−2i2i−2i−ii-1-111-22i−i−2i2i−ii−ii1-1001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000−2i2i-2200000000ii−i−i11-1-100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ512-22-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i−2i2i−2i−ii-1-111-22i−i−2i2i−ii−ii1-1001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002i−2i2-200000000−i−iii-1-11100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ522-22-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i−2i2i−2i−ii-1-111-22i−i−2i2i−ii−ii1-1001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000−2i2i-2200000000ii−i−i11-1-100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ532-22-2−2i2i−2i2i222-2−2i2i2-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-2−2i2i−2i2i−2i2i−2i2i2-2002-2−2i2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300
χ542-22-2−2i2i−2i2i222-2−2i2i2-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-2−2i2i−2i2i−2i2i−2i2i2-2002-2−2i2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300
χ552-22-2−2i2i−2i2i22-222i−2i2-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-222i−2i2i−2i−2i2i−2i2i-2200-222i−2i000000000000000000002i−2i-22000000002i2i−2i−2i-2-222000000000000000000
χ562-22-2−2i2i−2i2i22-222i−2i2-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-222i−2i2i−2i−2i2i−2i2i-2200-222i−2i00000000000000000000−2i2i2-200000000−2i−2i2i2i22-2-2000000000000000000
χ572-22-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i2i−2i2ii−i-1-111-22−ii2i−2ii−ii−i1-1001-1−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002i−2i-2200000000−i−iii11-1-100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ582-22-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i2i−2i2ii−i-1-111-22−ii2i−2ii−ii−i1-1001-1−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−2i2i2-200000000ii−i−i-1-11100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ592-22-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i2i−2i2ii−i-1-111-22−ii2i−2ii−ii−i1-1001-1−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002i−2i-2200000000−i−iii11-1-100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ602-22-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i2i−2i2ii−i-1-111-22−ii2i−2ii−ii−i1-1001-1−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−2i2i2-200000000ii−i−i-1-11100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ6144444444-24-4-4-4-4-2-2-2444-2-24444-2-2-2-2-2-2-4-422-4-4-2-2-2-2220022220000000000000000000000000000000000000000000000000000000000
χ6244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122222211112200-1-1-1-1−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122222211112200-1-1-1-12i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ664444-4-4-4-4-24-4-444-2-2-244422-4-4-4-422-2-2-2-2-4-4-2-2442222220022-2-20000000000000000000000000000000000000000000000000000000000
χ674444-4-4-4-4-2-244-4-4-2-2-2-2-2-2222222221111-2-22222-1-1-1-1-2-24i−4i11-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ684444-4-4-4-4-2-244-4-4-2-2-2-2-2-2222222221111-2-22222-1-1-1-1-2-2−4i4i11-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.