Finite Group Databasebeta

← Group #11787588

Character table — Group #11787588

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122222223344446666666666666634444666666612121212121212121212121212121212444412121212121212121212121212121212121212121212121244444488881212121212121212121212122424242424242424226666888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111ii−i−i11-1-1-11-111-1iiii−i−i−i−i11-1-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-111-1-111-1-1i−i
χ10111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111ii−i−i11-1-1-11-111-1iiii−i−i−i−i11-1-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−ii−i11-1-1−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii-11-1-111-1-111−ii
χ11111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111ii−i−i11-1-1-11-111-1iiii−i−i−i−i11-1-1-1−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i−ii-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i1-111-1-1-1-111−ii
χ12111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111ii−i−i11-1-1-11-111-1iiii−i−i−i−i11-1-1-1−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii-11-1-11111-1-1i−i
χ13111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111−i−iii11-1-1-11-111-1−i−i−i−iiiii11-1-1-1ii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i-11-1-11111-1-1−ii
χ14111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111−i−iii11-1-1-11-111-1−i−i−i−iiiii11-1-1-1ii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiiii−i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiii1-111-1-1-1-111i−i
χ15111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111−i−iii11-1-1-11-111-1−i−i−i−iiiii11-1-1-1−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii−ii11-1-1ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i-11-1-111-1-111i−i
χ16111-1-1-11-1111-1-1111-1-111-1-1-11-1-1-111−i−iii11-1-1-11-111-1−i−i−i−iiiii11-1-1-1−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-111-1-111-1-1−ii
χ172222222222-2-2-2-222222222222222200002222222-2-2-200000000-2-2-2-2-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-122222222-1-1-1-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ20222222222-122222222-1-1-1-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ21222222222-122222222-1-1-1-1-1-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ22222222222-122222222-1-1-1-1-1-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2322222222-122222-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2422222222-122222-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ2522222222-122222-1-1-1-12222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122211111111-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ2622222222-122222-1-1-1-12222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122211111111-1-1-1-12-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12-2-2-2-2-1-1-1-12222222-1-1-1-10000-1-1-1-1-1-1-1-2-2-2−i3−i3i3i3−i3−i3i3i31111-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2822222222-12-2-2-2-2-1-1-1-12222222-1-1-1-10000-1-1-1-1-1-1-1-2-2-2−i3−i3i3i3−i3−i3i3i31111-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2922222222-12-2-2-2-2-1-1-1-12222222-1-1-1-10000-1-1-1-1-1-1-1-2-2-2i3i3−i3−i3i3i3−i3−i31111-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-12-2-2-2-2-1-1-1-12222222-1-1-1-10000-1-1-1-1-1-1-1-2-2-2i3i3−i3−i3i3i3−i3−i31111-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ31222-2-2-22-222-222-222-2-222-2-2-22-2-2-222000022-2-2-22-2-2-2200000000-2-22222i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000-2-22200000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ32222-2-2-22-222-222-222-2-222-2-2-22-2-2-222000022-2-2-22-2-2-2200000000-2-2222−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000-2-222000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ33222-2-2-22-22-12-2-2222-2-2-1-1111-11-2-22-12i2i−2i−2i-1-1111-11-1-112i2i2i2i−2i−2i−2i−2i22-2-21000000000000−i−iii-1-111−i−i−i−iiiii0000002i2i−2i−2i000000000000−i−i−i−iiiii2-2-1-111000000
χ34222-2-2-22-22-12-2-2222-2-2-1-1111-11-2-22-12i2i−2i−2i-1-1111-11-1-112i2i2i2i−2i−2i−2i−2i22-2-21000000000000−i−iii-1-111−i−i−i−iiiii000000−2i−2i2i2i000000000000iiii−i−i−i−i-2211-1-1000000
χ35222-2-2-22-22-12-2-2222-2-2-1-1111-11-2-22-1−2i−2i2i2i-1-1111-11-1-11−2i−2i−2i−2i2i2i2i2i22-2-21000000000000ii−i−i-1-111iiii−i−i−i−i0000002i2i−2i−2i000000000000−i−i−i−iiiii-2211-1-1000000
χ36222-2-2-22-22-12-2-2222-2-2-1-1111-11-2-22-1−2i−2i2i2i-1-1111-11-1-11−2i−2i−2i−2i2i2i2i2i22-2-21000000000000ii−i−i-1-111iiii−i−i−i−i000000−2i−2i2i2i000000000000iiii−i−i−i−i2-2-1-111000000
χ37222-2-2-22-2-122-2-22-1-11122-2-2-22-211-1-12i2i−2i−2i-1-1111-1122-2−i−i−i−iiiii-1-111-22i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-1-111−i−i−i−iiiii2i−2i22-2-20000−i−iii-1-1-1-1111100000000000000000000
χ38222-2-2-22-2-122-2-22-1-11122-2-2-22-211-1-12i2i−2i−2i-1-1111-1122-2−i−i−i−iiiii-1-111-2−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i-1-111−i−i−i−iiiii−2i2i-2-2220000ii−i−i1111-1-1-1-100000000000000000000
χ39222-2-2-22-2-122-2-22-1-11122-2-2-22-211-1-1−2i−2i2i2i-1-1111-1122-2iiii−i−i−i−i-1-111-22i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i-1-111iiii−i−i−i−i2i−2i-2-2220000−i−iii1111-1-1-1-100000000000000000000
χ40222-2-2-22-2-122-2-22-1-11122-2-2-22-211-1-1−2i−2i2i2i-1-1111-1122-2iiii−i−i−i−i-1-111-2−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i22-2-20000ii−i−i-1-1-1-1111100000000000000000000
χ41222-2-2-22-2-12-222-2-1-11122-2-2-22-211-1-10000-1-1111-11-2-2233−3−3−3−33311-1-122i2i−2i−2i−i−i−i−iiiii000011-1-133−3−3−3−333−2i2i00000000ii−i−i−i3−i3i3i3i3i3−i3−i300000000000000000000
χ42222-2-2-22-2-12-222-2-1-11122-2-2-22-211-1-10000-1-1111-11-2-2233−3−3−3−33311-1-12−2i−2i2i2iiiii−i−i−i−i000011-1-133−3−3−3−3332i−2i00000000−i−iiii3i3−i3−i3−i3−i3i3i300000000000000000000
χ43222-2-2-22-2-12-222-2-1-11122-2-2-22-211-1-10000-1-1111-11-2-22−3−33333−3−311-1-122i2i−2i−2i−i−i−i−iiiii000011-1-1−3−33333−3−3−2i2i00000000ii−i−ii3i3−i3−i3−i3−i3i3i300000000000000000000
χ44222-2-2-22-2-12-222-2-1-11122-2-2-22-211-1-10000-1-1111-11-2-22−3−33333−3−311-1-12−2i−2i2i2iiiii−i−i−i−i000011-1-1−3−33333−3−32i−2i00000000−i−iii−i3−i3i3i3i3i3−i3−i300000000000000000000
χ4522-22-22-2-22200002-22-22-22-2-2-22-22-2200002-22-2-2-2200000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000002−22−200000000000022−2−222−2−2000000−i2i2−i2i200
χ4622-22-22-2-22200002-22-22-22-2-2-22-22-2200002-22-2-2-2200000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000−22−22000000000000−2−222−2−222000000i2−i2i2−i200
χ4722-22-22-2-22200002-22-22-22-2-2-22-22-2200002-22-2-2-220000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000002−22−200000000000022−2−222−2−2000000i2−i2i2−i200
χ4822-22-22-2-22200002-22-22-22-2-2-22-22-2200002-22-2-2-220000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000−22−22000000000000−2−222−2−222000000−i2i2−i2i200
χ4922-2-22-2-222200002-2-222-2-222-2-22-2-2200002-2-222-2-200000000000000002-2-2222-2-2-2-2220000000000000000000000−i2i2i2−i2000000000000−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i200
χ5022-2-22-2-222200002-2-222-2-222-2-22-2-2200002-2-222-2-200000000000000002-2-2222-2-2-2-2220000000000000000000000i2−i2−i2i2000000000000i2i2−i2−i2−i2−i2i2i2000000i2−i2−i2i200
χ5122-2-22-2-222200002-2-222-2-222-2-22-2-2200002-2-222-2-20000000000000000-222-2-2-22222-2-20000000000000000000000−i2i2i2−i2000000000000−i2−i2i2i2i2i2−i2−i2000000i2−i2−i2i200
χ5222-2-22-2-222200002-2-222-2-222-2-22-2-2200002-2-222-2-20000000000000000-222-2-2-22222-2-20000000000000000000000i2−i2−i2i2000000000000i2i2−i2−i2−i2−i2i2i2000000−i2i2i2−i200
χ532-2-22-2-2222222-2-2-2-222-2-222-22-2-2-2222i−2i2i−2i-2-222-22-22-222i−2i2i−2i2i−2i2i−2i2-22-2-20000000000002i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ542-2-22-2-2222222-2-2-2-222-2-222-22-2-2-222−2i2i−2i2i-2-222-22-22-22−2i2i−2i2i−2i2i−2i2i2-22-2-2000000000000−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ552-2-22-2-22222-2-222-2-222-2-222-22-2-2-2220000-2-222-22-2-22-200000000-22-2220000000000000000-22-2200000000002-22-2000000002-22-22-22-200000000000000000000
χ562-2-22-2-22222-2-222-2-222-2-222-22-2-2-2220000-2-222-22-2-22-200000000-22-2220000000000000000-22-220000000000-22-2200000000-22-22-22-2200000000000000000000
χ572-2-22-2-2222-122-2-2-2-22211-1-11-11-2-22-12i−2i2i−2i11-1-11-11-11-12i−2i2i−2i2i−2i2i−2i2-22-21000000000000−ii−ii-11-11−ii−ii−ii−ii00000000000000000000003−33−33−33−300−i3i3−i3i3000000
χ582-2-22-2-2222-122-2-2-2-22211-1-11-11-2-22-12i−2i2i−2i11-1-11-11-11-12i−2i2i−2i2i−2i2i−2i2-22-21000000000000−ii−ii-11-11−ii−ii−ii−ii0000000000000000000000−33−33−33−3300i3−i3i3−i3000000
χ592-2-22-2-2222-122-2-2-2-22211-1-11-11-2-22-1−2i2i−2i2i11-1-11-11-11-1−2i2i−2i2i−2i2i−2i2i2-22-21000000000000i−ii−i-11-11i−ii−ii−ii−i00000000000000000000003−33−33−33−300i3−i3i3−i3000000
χ602-2-22-2-2222-122-2-2-2-22211-1-11-11-2-22-1−2i2i−2i2i11-1-11-11-11-1−2i2i−2i2i−2i2i−2i2i2-22-21000000000000i−ii−i-11-11i−ii−ii−ii−i0000000000000000000000−33−33−33−3300−i3i3−i3i3000000
χ612-2-22-2-222-1222-2-211-1-1-2-222-22-211-1-12i−2i2i−2i11-1-11-112-22−ii−ii−ii−ii-11-11-200003−33−33−33−32i−2i2i−2i-11-11−ii−ii−ii−ii00000000003−33−3−i3i3i3−i3−i3i3i3−i300000000000000000000
χ622-2-22-2-222-1222-2-211-1-1-2-222-22-211-1-12i−2i2i−2i11-1-11-112-22−ii−ii−ii−ii-11-11-20000−33−33−33−332i−2i2i−2i-11-11−ii−ii−ii−ii0000000000−33−33i3−i3−i3i3i3−i3−i3i300000000000000000000
χ632-2-22-2-222-1222-2-211-1-1-2-222-22-211-1-1−2i2i−2i2i11-1-11-112-22i−ii−ii−ii−i-11-11-200003−33−33−33−3−2i2i−2i2i-11-11i−ii−ii−ii−i00000000003−33−3i3−i3−i3i3i3−i3−i3i300000000000000000000
χ642-2-22-2-222-1222-2-211-1-1-2-222-22-211-1-1−2i2i−2i2i11-1-11-112-22i−ii−ii−ii−i-11-11-20000−33−33−33−33−2i2i−2i2i-11-11i−ii−ii−ii−i0000000000−33−33−i3i3i3−i3−i3i3i3−i300000000000000000000
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χ662-2-22-2-222-12-2-22211-1-1-2-222-22-211-1-1000011-1-11-11-22-23−3−333−3−331-11-120000−33−33−33−3300001-11-13−3−333−3−3300-22-2200003−33−31-11-11-11-100000000000000000000
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χ842-2-2-2222-2-12-22-221111-2-2-2-2222-1-1-1-100001111-1-1-1-222i3−i3−i3i3−i3i3i3−i31-1-11-20000i3−i3i3−i3−i3i3−i3i300001-1-11i3−i3−i3i3−i3i3i3−i3002-2-220000−i3i3i3−i3-11-111-11-100000000000000000000
χ85444444444-2-4-4-4-44444-2-2-2-2-2-2-2444-20000-2-2-2-2-2-2-222200000000-4-4-4-420000000000000000222200000000000000000000000000000000000000000000000000
χ8644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2111111111111000000000000000000000000000000000000000000
χ8744444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-222222222-2-2-2-2-200000000000022221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2100001111111222−2i3−2i32i32i3−2i3−2i32i32i3222220000000000000000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
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χ9744-44-44-4-4-240000-22-224-44-4-4-442-22-20000-22-2222-200000000000000004i−4i4i−4i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9844-44-44-4-4-240000-22-224-44-4-4-442-22-20000-22-2222-20000000000000000−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
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χ10244-4-44-4-44-240000-222-24-4-444-4-4-222-20000-222-2-2220000000000000000-444-422-2-2-2-2220000000000000000000000000000000000000000000000000000000000
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χ1154-4-44-4-444-2-244-4-422-2-222-2-22-2222-21−4i4i−4i4i-1-111-11-1-22-22i−2i2i−2i2i−2i2i−2i-22-2220000000000002i−2i2i−2i1-11-1−ii−ii−ii−ii000000000000000000000000000000000000000000
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χ1204-4-4-4444-4-2-24-44-422222222-2-2-2-2-2-21-444-4-1-1-1-1111-2222-22-2-22-22-222-2-20000000000002-2-221-1-11-11-111-11-1000000000000000000000000000000000000000000
χ1214-4-4-4444-4-2-2-44-4422222222-2-2-2-2-2-210000-1-1-1-11112-2-2−2i32i32i3−2i32i3−2i3−2i32i32-2-2220000000000000000-111-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1224-4-4-4444-4-2-2-44-4422222222-2-2-2-2-2-210000-1-1-1-11112-2-22i3−2i3−2i32i3−2i32i32i3−2i32-2-2220000000000000000-111-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
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χ1268-88-8-88-88-4-400004-44-44-44-444-44-4420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).