Finite Group Databasebeta

← Group #11785291

Character table — Group #11785291

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222233444466666666666666344446666666121212121212121212121212121212124444121212121212121212121212121212121212121212121212444444888812121212121212121212121224242424242424244412121212888844
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
χ91-1-111-11-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101-1-111-11-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111-1-111-11-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111ii−i−i-1-111-1-1-1-11111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121-1-111-11-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111−i−iii-1-111-1-1-1-11111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131-1-111-11-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111ii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141-1-111-11-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151-1-111-11-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1ii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161-1-111-11-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1−i−iii-1-1111111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−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
χ19222222222-122222222-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222222-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-122222222-1-1-1-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-122211111111-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ22222222222-122222222-1-1-1-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-122211111111-1-1-1-12-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2−i3−i3i3i3−i3−i3i3i31111-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2−i3−i3i3i3−i3−i3i3i31111-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2i3i3−i3−i3i3i3−i3−i31111-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2i3i3−i3−i3i3i3−i3−i31111-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1-12222-1-122-12-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1-12222-1-122-12-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-1-1-1-12222-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1-12222-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ31222-2-2-22-2222-22-2-222-222-2-22-2-2-2-2220000-222-2-22-22-22000000002-22-2-200000000000000002-22-200000000002-22-2000000002-22-22-22-200000000000000000000
χ32222-2-2-22-2222-22-2-222-222-2-22-2-2-2-2220000-222-2-22-22-22000000002-22-2-200000000000000002-22-20000000000-22-2200000000-22-22-22-2200000000000000000000
χ33222-2-2-22-222-22-22-222-222-2-22-2-2-2-2222i−2i2i−2i-222-2-22-2-22-22i−2i2i−2i2i−2i2i−2i-22-2220000000000002i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ34222-2-2-22-222-22-22-222-222-2-22-2-2-2-222−2i2i−2i2i-222-2-22-2-22-2−2i2i−2i2i−2i2i−2i2i-22-222000000000000−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ35222-2-2-22-22-12-22-2-222-2-1-1112-211-2-1-100001-1-111-112-223−3−333−3−33-11-11-2000033−3−333−3−30000-11-113−3−333−3−33002-22-200003−33−3-11-11-11-1100000000000000000000
χ36222-2-2-22-22-12-22-2-222-2-1-1112-211-2-1-100001-1-111-112-223−3−333−3−33-11-11-20000−3−333−3−3330000-11-113−3−333−3−3300-22-220000−33−331-11-11-11-100000000000000000000
χ37222-2-2-22-22-12-22-2-222-2-1-1112-211-2-1-100001-1-111-112-22−333−3−333−3-11-11-2000033−3−333−3−30000-11-11−333−3−333−300-22-2200003−33−31-11-11-11-100000000000000000000
χ38222-2-2-22-22-12-22-2-222-2-1-1112-211-2-1-100001-1-111-112-22−333−3−333−3-11-11-20000−3−333−3−3330000-11-11−333−3−333−3002-22-20000−33−33-11-11-11-1100000000000000000000
χ39222-2-2-22-22-1-22-22-222-2-1-1112-211-2-1-12i−2i2i−2i1-1-111-11-22-2−ii−ii−ii−ii1-11-12000033−3−333−3−32i−2i2i−2i1-11-1−ii−ii−ii−ii0000000000−33−33−i3i3i3−i3−i3i3i3−i300000000000000000000
χ40222-2-2-22-22-1-22-22-222-2-1-1112-211-2-1-12i−2i2i−2i1-1-111-11-22-2−ii−ii−ii−ii1-11-120000−3−333−3−3332i−2i2i−2i1-11-1−ii−ii−ii−ii00000000003−33−3i3−i3−i3i3i3−i3−i3i300000000000000000000
χ41222-2-2-22-22-1-22-22-222-2-1-1112-211-2-1-1−2i2i−2i2i1-1-111-11-22-2i−ii−ii−ii−i1-11-12000033−3−333−3−3−2i2i−2i2i1-11-1i−ii−ii−ii−i0000000000−33−33i3−i3−i3i3i3−i3−i3i300000000000000000000
χ42222-2-2-22-22-1-22-22-222-2-1-1112-211-2-1-1−2i2i−2i2i1-1-111-11-22-2i−ii−ii−ii−i1-11-120000−3−333−3−333−2i2i−2i2i1-11-1i−ii−ii−ii−i00000000003−33−3−i3i3i3−i3−i3i3i3−i300000000000000000000
χ43222-2-2-22-2-12-22-221-1-1122-2-2-11-2-212-12i−2i2i−2i1-1-111-111-112i−2i2i−2i2i−2i2i−2i-22-22-1000000000000−ii−ii1-11-1−ii−ii−ii−ii0000000000000000000000−i3−i3i3i3−i3−i3i3i3003−33−3000000
χ44222-2-2-22-2-12-22-221-1-1122-2-2-11-2-212-12i−2i2i−2i1-1-111-111-112i−2i2i−2i2i−2i2i−2i-22-22-1000000000000−ii−ii1-11-1−ii−ii−ii−ii0000000000000000000000i3i3−i3−i3i3i3−i3−i300−33−33000000
χ45222-2-2-22-2-12-22-221-1-1122-2-2-11-2-212-1−2i2i−2i2i1-1-111-111-11−2i2i−2i2i−2i2i−2i2i-22-22-1000000000000i−ii−i1-11-1i−ii−ii−ii−i0000000000000000000000−i3−i3i3i3−i3−i3i3i300−33−33000000
χ46222-2-2-22-2-12-22-221-1-1122-2-2-11-2-212-1−2i2i−2i2i1-1-111-111-11−2i2i−2i2i−2i2i−2i2i-22-22-1000000000000i−ii−i1-11-1i−ii−ii−ii−i0000000000000000000000i3i3−i3−i3i3i3−i3−i3003−33−3000000
χ4722-2-222-2-2220000-22-2-22-22-2-22-222-220000-22-22-2-2200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000002−22−20000000000002−22−22−22−2000000−i2i2−i2i200
χ4822-2-222-2-2220000-22-2-22-22-2-22-222-220000-22-22-2-2200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000−22−22000000000000−22−22−22−22000000i2−i2i2−i200
χ4922-2-222-2-2220000-22-2-22-22-2-22-222-220000-22-22-2-220000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000002−22−20000000000002−22−22−22−2000000i2−i2i2−i200
χ5022-2-222-2-2220000-22-2-22-22-2-22-222-220000-22-22-2-220000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000−22−22000000000000−22−22−22−22000000−i2i2−i2i200
χ512-22-22-2-22220000-2-222-22-22-22-22-2-220000-2-22-22-2200000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000−i2i2i2−i2000000000000−i2i2−i2i2i2−i2i2−i2000000−222−200
χ522-22-22-2-22220000-2-222-22-22-22-22-2-220000-2-22-22-2200000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000i2−i2−i2i2000000000000i2−i2i2−i2−i2i2−i2i20000002−2−2200
χ532-22-22-2-22220000-2-222-22-22-22-22-2-220000-2-22-22-220000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000−i2i2i2−i2000000000000−i2i2−i2i2i2−i2i2−i20000002−2−2200
χ542-22-22-2-22220000-2-222-22-22-22-22-2-220000-2-22-22-220000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000i2−i2−i2i2000000000000i2−i2i2−i2−i2i2−i2i2000000−222−200
χ552-2-222-22-222-2-2222-2-2-2-2-2-2-22222-22200002-2-2-2-222-2-2200000000-2-222222-2-22222-2-2-2-20000-2-22200000000-2200000000-2-2220000000000000000000000000000
χ562-2-222-22-222-2-2222-2-2-2-2-2-2-22222-22200002-2-2-2-222-2-2200000000-2-2222-2-222-2-2-2-222220000-2-222000000002-20000000022-2-20000000000000000000000000000
χ572-2-222-22-22-122-2-22-2-2-2111122-1-1-2-1-122-2-2-11111-1-122-2-1-1-1-11111-1-111-222-2-2-1-1-1-1111122-2-2-1-111-1-1-1-111112-222-2-20000-1-111-1-1-1-1111100000000000000000000
χ582-2-222-22-22-122-2-22-2-2-2111122-1-1-2-1-122-2-2-11111-1-122-2-1-1-1-11111-1-111-2-2-2221111-1-1-1-122-2-2-1-111-1-1-1-11111-22-2-222000011-1-11111-1-1-1-100000000000000000000
χ592-2-222-22-22-122-2-22-2-2-2111122-1-1-2-1-1-2-222-11111-1-122-21111-1-1-1-1-1-111-222-2-2-1-1-1-11111-2-222-1-1111111-1-1-1-12-2-2-2220000-1-1111111-1-1-1-100000000000000000000
χ602-2-222-22-22-122-2-22-2-2-2111122-1-1-2-1-1-2-222-11111-1-122-21111-1-1-1-1-1-111-2-2-2221111-1-1-1-1-2-222-1-1111111-1-1-1-1-2222-2-2000011-1-1-1-1-1-1111100000000000000000000
χ612-2-222-22-22-1-2-2222-2-2-2111122-1-1-2-1-10000-11111-1-1-2-22−i3−i3i3i3i3i3−i3−i311-1-1222-2-2-1-1-1-11111000011-1-1−i3−i3i3i3i3i3−i3−i3-220000000011-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000
χ622-2-222-22-22-1-2-2222-2-2-2111122-1-1-2-1-10000-11111-1-1-2-22−i3−i3i3i3i3i3−i3−i311-1-12-2-2221111-1-1-1-1000011-1-1−i3−i3i3i3i3i3−i3−i32-200000000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000
χ632-2-222-22-22-1-2-2222-2-2-2111122-1-1-2-1-10000-11111-1-1-2-22i3i3−i3−i3−i3−i3i3i311-1-1222-2-2-1-1-1-11111000011-1-1i3i3−i3−i3−i3−i3i3i3-220000000011-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000
χ642-2-222-22-22-1-2-2222-2-2-2111122-1-1-2-1-10000-11111-1-1-2-22i3i3−i3−i3−i3−i3i3i311-1-12-2-2221111-1-1-1-1000011-1-1i3i3−i3−i3−i3−i3i3i32-200000000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000
χ652-2-222-22-2-1222-2-2-1111-2-2-2-2-1-12212-122-2-2-11111-1-1-1-112222-2-2-2-222-2-21000000000000-1-111-1-111-1-1-1-111110000002i2i−2i−2i000000000000−i−i−i−iiiii2i−2i−i−iii000000
χ662-2-222-22-2-1222-2-2-1111-2-2-2-2-1-12212-122-2-2-11111-1-1-1-112222-2-2-2-222-2-21000000000000-1-111-1-111-1-1-1-11111000000−2i−2i2i2i000000000000iiii−i−i−i−i−2i2iii−i−i000000
χ672-2-222-22-2-1222-2-2-1111-2-2-2-2-1-12212-1-2-222-11111-1-1-1-11-2-2-2-2222222-2-2100000000000011-1-1-1-1111111-1-1-1-10000002i2i−2i−2i000000000000−i−i−i−iiiii−2i2iii−i−i000000
χ682-2-222-22-2-1222-2-2-1111-2-2-2-2-1-12212-1-2-222-11111-1-1-1-11-2-2-2-2222222-2-2100000000000011-1-1-1-1111111-1-1-1-1000000−2i−2i2i2i000000000000iiii−i−i−i−i2i−2i−i−iii000000
χ692-2-2-2-2222222-2-22-2-2-22-2-2222-2-2-22220000-2-2-2222-22-2-2000000002-2-22200000000000000002-2-2200000000002-2-22000000002-22-2-22-2200000000000000000000
χ702-2-2-2-2222222-2-22-2-2-22-2-2222-2-2-22220000-2-2-2222-22-2-2000000002-2-22200000000000000002-2-220000000000-222-200000000-22-222-22-200000000000000000000
χ712-2-2-2-222222-222-2-2-2-22-2-2222-2-2-22222i−2i−2i2i-2-2-2222-2-2222i−2i2i−2i−2i2i−2i2i-222-2-20000000000002i−2i−2i2i-222-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ722-2-2-2-222222-222-2-2-2-22-2-2222-2-2-2222−2i2i2i−2i-2-2-2222-2-222−2i2i−2i2i2i−2i2i−2i-222-2-2000000000000−2i2i2i−2i-222-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ732-2-2-2-22222-12-2-22-2-2-2211-1-12-2112-1-10000111-1-1-112-2-23−3−33−333−3-111-12000033−3−3−3−3330000-111-13−3−33−333−3002-2-2200003−3−33-11-111-11-100000000000000000000
χ742-2-2-2-22222-12-2-22-2-2-2211-1-12-2112-1-10000111-1-1-112-2-23−3−33−333−3-111-120000−3−33333−3−30000-111-13−3−33−333−300-222-20000−333−31-11-1-11-1100000000000000000000
χ752-2-2-2-22222-12-2-22-2-2-2211-1-12-2112-1-10000111-1-1-112-2-2−333−33−3−33-111-12000033−3−3−3−3330000-111-1−333−33−3−3300-222-200003−3−331-11-1-11-1100000000000000000000
χ762-2-2-2-22222-12-2-22-2-2-2211-1-12-2112-1-10000111-1-1-112-2-2−333−33−3−33-111-120000−3−33333−3−30000-111-1−333−33−3−33002-2-220000−333−3-11-111-11-100000000000000000000
χ772-2-2-2-22222-1-222-2-2-2-2211-1-12-2112-1-12i−2i−2i2i111-1-1-11-222−ii−iii−ii−i1-1-11-2000033−3−3−3−3332i−2i−2i2i1-1-11−ii−iii−ii−i0000000000−333−3−i3i3i3−i3i3−i3−i3i300000000000000000000
χ782-2-2-2-22222-1-222-2-2-2-2211-1-12-2112-1-12i−2i−2i2i111-1-1-11-222−ii−iii−ii−i1-1-11-20000−3−33333−3−32i−2i−2i2i1-1-11−ii−iii−ii−i00000000003−3−33i3−i3−i3i3−i3i3i3−i300000000000000000000
χ792-2-2-2-22222-1-222-2-2-2-2211-1-12-2112-1-1−2i2i2i−2i111-1-1-11-222i−ii−i−ii−ii1-1-11-2000033−3−3−3−333−2i2i2i−2i1-1-11i−ii−i−ii−ii0000000000−333−3i3−i3−i3i3−i3i3i3−i300000000000000000000
χ802-2-2-2-22222-1-222-2-2-2-2211-1-12-2112-1-1−2i2i2i−2i111-1-1-11-222i−ii−i−ii−ii1-1-11-20000−3−33333−3−3−2i2i2i−2i1-1-11i−ii−i−ii−ii00000000003−3−33−i3i3i3−i3i3−i3−i3i300000000000000000000
χ812-2-2-2-2222-12-222-2111-1-2-222-11-2-2-12-12i−2i−2i2i111-1-1-111-1-12i−2i2i−2i−2i2i−2i2i-222-21000000000000−iii−i1-1-11−ii−iii−ii−i000000000000000000000033−3−3−3−33300i3−i3−i3i3000000
χ822-2-2-2-2222-12-222-2111-1-2-222-11-2-2-12-12i−2i−2i2i111-1-1-111-1-12i−2i2i−2i−2i2i−2i2i-222-21000000000000−iii−i1-1-11−ii−iii−ii−i0000000000000000000000−3−33333−3−300−i3i3i3−i3000000
χ832-2-2-2-2222-12-222-2111-1-2-222-11-2-2-12-1−2i2i2i−2i111-1-1-111-1-1−2i2i−2i2i2i−2i2i−2i-222-21000000000000i−i−ii1-1-11i−ii−i−ii−ii000000000000000000000033−3−3−3−33300−i3i3i3−i3000000
χ842-2-2-2-2222-12-222-2111-1-2-222-11-2-2-12-1−2i2i2i−2i111-1-1-111-1-1−2i2i−2i2i2i−2i2i−2i-222-21000000000000i−i−ii1-1-11i−ii−i−ii−ii0000000000000000000000−3−33333−3−300i3−i3−i3i3000000
χ8544444444-24-4-4-4-4-2-2-2-24444-2-244-24-20000-2-2-2-2-2-2-222200000000-4-4-4-420000000000000000222200000000000000000000000000000000000000000000000000
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
χ8944444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21000011111112222i32i3−2i3−2i32i32i3−2i3−2i3222220000000000000000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ90444-4-4-44-4-244-44-42-2-2244-4-4-22-4-424-200002-2-222-22-22-2000000004-44-420000000000000000-22-2200000000000000000000000000000000000000000000000000
χ91444-4-4-44-4-2-24-44-42-2-22-2-222-22222-210000-111-1-11-1-22-223−23−232323−23−2323-22-22200000000000000001-11-1−333−3−333−3000000000000000000000000000000000000000000
χ92444-4-4-44-4-2-24-44-42-2-22-2-222-22222-210000-111-1-11-1-22-2−232323−23−232323−23-22-22200000000000000001-11-13−3−333−3−33000000000000000000000000000000000000000000
χ93444-4-4-44-4-2-2-44-442-2-22-2-222-22222-214i−4i4i−4i-111-1-11-12-22−2i2i−2i2i−2i2i−2i2i2-22-2-2000000000000−2i2i−2i2i-11-11i−ii−ii−ii−i000000000000000000000000000000000000000000
χ94444-4-4-44-4-2-2-44-442-2-22-2-222-22222-21−4i4i−4i4i-111-1-11-12-222i−2i2i−2i2i−2i2i−2i2-22-2-20000000000002i−2i2i−2i-11-11−ii−ii−ii−ii000000000000000000000000000000000000000000
χ9544-44-4-4-4444000044-444-4-44-4-44-4-4-44000044-4-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-44-4-4-444-2000044-44-222-2-4-4-22-42-20000-2-222-22200000000000000000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ9744-44-4-4-444-2000044-44-222-2-4-4-22-42-20000-2-222-222000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ9844-44-4-4-44-240000-2-22-24-4-44224-42-4-20000-2-222-222000000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000
χ9944-44-4-4-44-240000-2-22-24-4-44224-42-4-20000-2-222-222000000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000
χ10044-4-444-4-44-20000-44-4-4-22-22-442-242-200002-22-222-200000000000000004i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ10144-4-444-4-44-20000-44-4-4-22-22-442-242-200002-22-222-20000000000000000−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ10244-4-444-4-4-2400002-2224-44-42-2-44-2-4-200002-22-222-20000000000000000000000000000000000000000000000000022−2222−22000000000000−22−22−22−22000000000000
χ10344-4-444-4-4-2400002-2224-44-42-2-44-2-4-200002-22-222-200000000000000000000000000000000000000000000000000−2222−22220000000000002−22−22−22−2000000000000
χ1044-444-44-4-44400004-44-4-444-4-4-44-44-4400004-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-444-44-4-44-200004-44-42-2-22-4-4-2242-20000-22-2-222200000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1064-444-44-4-44-200004-44-42-2-22-4-4-2242-20000-22-2-2222000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1074-444-44-4-4-240000-22-22-444-4224-4-2-4-20000-22-2-22220000000000000000000000000000000000000000000000000000000000000000006−6−66−666−6000000000000
χ1084-444-44-4-4-240000-22-22-444-4224-4-2-4-20000-22-2-2222000000000000000000000000000000000000000000000000000000000000000000−666−66−6−66000000000000
χ1094-44-44-4-444-20000-4-4442-22-2-442-2-42-2000022-22-22-200000000000000004i−4i−4i4i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1104-44-44-4-444-20000-4-4442-22-2-442-2-42-2000022-22-22-20000000000000000−4i4i4i−4i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1114-44-44-4-44-24000022-2-2-44-442-2-442-4-2000022-22-22-200000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2i2−i2−i2i2−i2i2000000000000
χ1124-44-44-4-44-24000022-2-2-44-442-2-442-4-2000022-22-22-2000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2−i2i2i2−i2i2−i2000000000000
χ1134-4-444-44-4-24-4-444-2222-4-4-4-4-2-24424-20000-22222-2-222-200000000-4-444-2000000000000000022-2-200000000000000000000000000000000000000000000000000
χ1144-4-444-44-4-2-244-4-4-22222222-2-2-2-22-2144-4-41-1-1-1-111-2-22-2-2-2-22222-2-2222000000000000-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ1154-4-444-44-4-2-244-4-4-22222222-2-2-2-22-21-4-4441-1-1-1-111-2-222222-2-2-2-2-2-222200000000000022-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ1164-4-444-44-4-2-2-4-444-22222222-2-2-2-22-2100001-1-1-1-11122-2−2i3−2i32i32i32i32i3−2i3−2i322-2-2-20000000000000000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1174-4-444-44-4-2-2-4-444-22222222-2-2-2-22-2100001-1-1-1-11122-22i32i3−2i3−2i3−2i3−2i32i32i322-2-2-20000000000000000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1184-4-4-4-4444-244-4-44222-2-4-444-22-4-4-24-20000222-2-2-22-222000000004-4-44-20000000000000000-222-200000000000000000000000000000000000000000000000000
χ1194-4-4-4-4444-2-24-4-44222-222-2-2-2222-2-210000-1-1-1111-1-22223−23−2323−232323−23-222-2-200000000000000001-1-11−333−33−3−33000000000000000000000000000000000000000000
χ1204-4-4-4-4444-2-24-4-44222-222-2-2-2222-2-210000-1-1-1111-1-222−232323−2323−23−2323-222-2-200000000000000001-1-113−3−33−333−3000000000000000000000000000000000000000000
χ1214-4-4-4-4444-2-2-444-4222-222-2-2-2222-2-214i−4i−4i4i-1-1-1111-12-2-2−2i2i−2i2i2i−2i2i−2i2-2-222000000000000−2i2i2i−2i-111-1i−ii−i−ii−ii000000000000000000000000000000000000000000
χ1224-4-4-4-4444-2-2-444-4222-222-2-2-2222-2-21−4i4i4i−4i-1-1-1111-12-2-22i−2i2i−2i−2i2i−2i2i2-2-2220000000000002i−2i−2i2i-111-1−ii−iii−ii−i000000000000000000000000000000000000000000
χ12388-88-8-8-88-4-40000-4-44-4-444-444-44442000022-2-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-888-8-8-4-400004-444-44-444-44-4-4420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-888-88-8-8-4-40000-44-444-4-4444-44-44200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-88-8-88-4-4000044-4-44-44-44-44-44420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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